Publications & Works

Articles Published in Journals That Entered SCI, SSCI and AHCI Indexes

Congruences with q-generalized Catalan numbers and q-harmonic numbers

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.51, no.3, pp.712-724, 2022 (Journal Indexed in SCI) Creative Commons License identifier

NEW CONGRUENCES WITH THE GENERALIZED CATALAN NUMBERS AND HARMONIC NUMBERS

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, vol.58, no.5, pp.1079-1095, 2021 (Journal Indexed in SCI) identifier identifier

On congruences related to trinomial coefficients and harmonic numbers

TURKISH JOURNAL OF MATHEMATICS, vol.45, no.4, pp.1592-1604, 2021 (Journal Indexed in SCI) identifier identifier

Powers Sums of the First and Second Kinds of Chebyshev Polynomials

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, vol.44, pp.425-435, 2020 (Journal Indexed in SCI) Creative Commons License identifier identifier

Nonlinear variants of the generalized Filbert and Lilbert matrices

Turkish Journal Of Mathematics, vol.44, pp.622-642, 2020 (Journal Indexed in SCI Expanded) Creative Commons License

New analogues of the Filbert and Lilbert matrices via products of two k-tuples asymmetric entries

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.49, no.2, pp.684-694, 2020 (Journal Indexed in SCI) Creative Commons License identifier identifier

On congruences involving special numbers

JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY, vol.34, pp.151-167, 2019 (Journal Indexed in SCI) Creative Commons License identifier identifier

New asymmetric generalizations of the Filbert and Lilbert matrices

PERIODICA MATHEMATICA HUNGARICA, vol.78, pp.231-241, 2019 (Journal Indexed in SCI) Creative Commons License identifier identifier

ON CONGRUENCES INVOLVING THE GENERALIZED CATALAN NUMBERS AND HARMONIC NUMBERS

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, vol.56, pp.649-658, 2019 (Journal Indexed in SCI) Creative Commons License identifier identifier

Some Permanents of Hessenberg Matrices

FILOMAT, vol.33, no.2, pp.475-481, 2019 (Journal Indexed in SCI) Creative Commons License identifier identifier

FORMULAE FOR TWO WEIGHTED BINOMIAL IDENTITIES WITH THE FALLING FACTORIALS

ARS COMBINATORIA, vol.138, pp.223-231, 2018 (Journal Indexed in SCI) identifier identifier

SOME INTERESTING CONGRUENCES FOR BALLOT NUMBERS

MISKOLC MATHEMATICAL NOTES, vol.19, no.2, pp.1079-1094, 2018 (Journal Indexed in SCI) identifier

On congruences related to central binomial coefficients, harmonic and Lucas numbers

TURKISH JOURNAL OF MATHEMATICS, vol.40, no.5, pp.973-985, 2016 (Journal Indexed in SCI) identifier identifier

FORMULAS FOR BINOMIAL SUMS INCLUDING POWERS OF FIBONACCI AND LUCAS NUMBERS

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, vol.77, no.4, pp.69-78, 2015 (Journal Indexed in SCI) identifier identifier

SOME CONGRUENCES INVOLVING NUMBERS B (p,k-d)

UTILITAS MATHEMATICA, vol.95, pp.307-317, 2014 (Journal Indexed in SCI) identifier

RIORDAN GROUP APPROACHES IN MATRIX FACTORIZATIONS

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol.38, no.2, pp.491-506, 2012 (Journal Indexed in SCI) identifier

GENERAL SOLUTION TO THE DECIMAL FRACTION OF GENERALIZED FIBONACCI SERIES

UTILITAS MATHEMATICA, vol.87, pp.191-197, 2012 (Journal Indexed in SCI) identifier identifier

FORMULAS FOR WEIGHTED BINOMIAL SUMS USING THE POWERS OF TERMS OF BINARY RECURRENCES

MISKOLC MATHEMATICAL NOTES, vol.13, no.1, pp.53-65, 2012 (Journal Indexed in SCI) Creative Commons License identifier identifier

SUMS OF PRODUCTS OF THE TERMS OF THE GENERALIZED LUCAS SEQUENCE {V-kn}

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.40, no.2, pp.147-161, 2011 (Journal Indexed in SCI) identifier

BINOMIAL SUMS WHOSE COEFFICIENTS ARE PRODUCTS OF TERMS OF BINARY SEQUENCES

UTILITAS MATHEMATICA, vol.84, pp.45-52, 2011 (Journal Indexed in SCI) identifier identifier

Some Finite Sums Involving Generalized Fibonacci and Lucas Numbers

DISCRETE DYNAMICS IN NATURE AND SOCIETY, vol.2011, 2011 (Journal Indexed in SCI) Creative Commons License identifier identifier

ALTERNATING SUMS OF THE POWERS OF FIBONACCI AND LUCAS NUMBERS

MISKOLC MATHEMATICAL NOTES, vol.12, no.1, pp.87-103, 2011 (Journal Indexed in SCI) Creative Commons License identifier identifier

FACTORIZATIONS OF THE PASCAL MATRIX VIA A GENERALIZED SECOND ORDER RECURRENT MATRIX

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.38, no.3, pp.305-316, 2009 (Journal Indexed in SCI) identifier identifier

MATRIX REPRESENTATION OF THE SECOND ORDER RECURRENCE {u(kn)}

ARS COMBINATORIA, vol.93, pp.181-190, 2009 (Journal Indexed in SCI) identifier

Parametrized fibonacci search method with k-Lucas numbers

APPLIED MATHEMATICS AND COMPUTATION, vol.198, no.1, pp.355-360, 2008 (Journal Indexed in SCI) identifier identifier

Optimization by k-Lucas numbers

APPLIED MATHEMATICS AND COMPUTATION, vol.197, no.1, pp.366-371, 2008 (Journal Indexed in SCI) identifier identifier

Articles Published in Other Journals

Sums involving generalized harmonic and Daehee numbers

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, vol.28, no.1, pp.92-99, 2022 (Journal Indexed in ESCI) Creative Commons License identifier

Diophantine Equations Related with Linear Binary Recurrences

IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, vol.17, no.1, pp.11-26, 2022 (Journal Indexed in ESCI) Creative Commons License identifier identifier

ON BINOMIAL SUMS WITH THE TERMS OF SEQUENCES{g(kn)} AND {h(kn)}

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, vol.36, no.1, pp.31-42, 2021 (Journal Indexed in ESCI) identifier

On Binomial Sums and Alternating Binomial Sums ofGeneralized Fibonacci Numbers with FallingFactorials

MATHEMATICAL SCIENCES AND APPLICATIONS E-NOTES, vol.8, no.2, pp.123-129, 2020 (Refereed Journals of Other Institutions)

On generalized Fibonacci quadratics

Notes on Number Theory and Discrete Mathematics, vol.26, no.2, pp.198-204, 2020 (Journal Indexed in ESCI) Creative Commons License

ON BINOMIAL TRIPLE SUMS INVOLVING FIBONACCI AND LUCAS NUMBERS

HONAM MATHEMATICAL JOURNAL, vol.42, no.1, pp.49-62, 2020 (Journal Indexed in ESCI) identifier

Some congruences involving Catalan, Pell and Fibonacci numbers

Mathematica Montisnigri, vol.48, pp.10-18, 2020 (Journal Indexed in ESCI) identifier

ON TRIANGLES WITH COORDINATES OF VERTICES FROM THE TERMS OF THE SEQUENCES {U-kn} AND {V-kn}

RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI, vol.24, no.542, pp.15-27, 2020 (Journal Indexed in ESCI) identifier identifier

On hyper-dual generalized Fibonacci numbers

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, vol.26, no.1, pp.191-198, 2020 (Journal Indexed in ESCI) Creative Commons License identifier

SOME CONGRUENCES INVOLVING CATALAN, PELL AND FIBONACCI NUMBERS

MATHEMATICA MONTISNIGRI, vol.48, pp.10-18, 2020 (Journal Indexed in ESCI) identifier

Some congruences for sums involving harmonic numbers

Cumhuriyet Science Journal, vol.39, pp.912-919, 2018 (Other Refereed National Journals)

ON CONGRUENCES WITH THE TERMS OF THE SECOND ORDER SEQUENCES {U-kn} AND {V-kn}

HONAM MATHEMATICAL JOURNAL, vol.40, no.3, pp.549-559, 2018 (Journal Indexed in ESCI) identifier

Some applications of the generalized hyperharmonic numbers of order r, Hr_n(alpha)

Advances and Applications in Mathematical Sciences, vol.17, pp.617-627, 2018 (Journal Indexed in ESCI)

On the matrices with the generalized hyperharmonic numbers of order r

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, vol.11, no.3, 2018 (Journal Indexed in ESCI) identifier identifier

ON CERTAIN HESSENBERG MATRICES RELATED WITH LINEAR RECURRENCES

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, vol.33, no.2, pp.153-162, 2018 (Journal Indexed in ESCI) identifier

Some sums related to the terms of generalized Fibonacci autocorrelation sequences {a_k,n(t)}

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.21, no.3, pp.307-313, 2017 (Other Refereed National Journals)

On some congruences with the terms of second order sequence and harmonic numbers

Karaelmas Fen ve Mühendislik Dergisi, vol.7, pp.586-589, 2017 (Refereed Journals of Other Institutions)

ON ALTERNATING WEIGHTED BINOMIAL SUMS WITH FALLING FACTORIALS

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.9, no.1, pp.58-64, 2017 (Journal Indexed in ESCI) identifier

{a-k,n(t)} genelleştirilmiş Fibonacci otokorelasyon dizilerinin terimlerini içeren bazı bağıntılar

SAÜ Fen Bilimleri Dergisi, vol.21, pp.307-313, 2017 (Refereed Journals of Other Institutions)

{a-k,n(t)} genelleştieirmiş Fibonacci otokorelasyon dizileriiinin terimlerini içeren bazı bağıntılar

SAÜ Fen Bilimleri Dergisi, vol.21, pp.307-313, 2017 (Other Refereed National Journals)

On identities for sequences of binomial sums with the terms of sequences {u(kn)} and {v(kn)}

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, vol.10, no.3, pp.506-515, 2017 (Journal Indexed in ESCI) identifier

Two Variants of the Reciprocal Super Catalan Matrix

KYUNGPOOK MATHEMATICAL JOURNAL, vol.56, no.2, pp.409-418, 2016 (Journal Indexed in ESCI) Creative Commons License identifier identifier

Families of Primitive Pythagorean Triples Involving Terms of Generalized Fibonacci and Lucas Sequences

JOURNAL OF MATHEMATICAL EXTENSION, vol.10, no.4, pp.45-59, 2016 (Journal Indexed in ESCI) identifier

Some congruences related to harmonic numbers and the terms of the second order sequences

Mathematica Moravica, vol.20, pp.23-37, 2016 (Refereed Journals of Other Institutions)

On congruences with the terms of second order sequence Q_n

Journal of Algebra, Number Theory:Advances and Applications, vol.15, pp.15-39, 2016 (Refereed Journals of Other Institutions)

A curious matrix-sum identity and certain finite sums identities

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, vol.8, no.3, 2015 (Journal Indexed in ESCI) Creative Commons License identifier identifier

Various sums including the generalized Fibonacci and Lucas numbers

Palestine Journal of Mathematics, vol.4, pp.319-326, 2015 (Refereed Journals of Other Institutions)

Generalized binary recurrent quasi cyclic matrices

Annales Mathematicae et Informaticae, vol.43, pp.103-112, 2014 (Refereed Journals of Other Institutions)

A new perspective to the sequences of t order

International Journal of Computer Applications, vol.86, pp.29-33, 2014 (Refereed Journals of Other Institutions)

Some weighted sums of products of Lucas sequences

Integers, 2013 (Refereed Journals of Other Institutions)

A formula for the generating functions of powers of Horadam’xxs sequence with additional 2 parameters

JOURNAL OF INTEGER SEQUENCES, vol.14, pp.1-8, 2011 (Refereed Journals of Other Institutions)

A formula for the Generating Functions of Powers of Horadam’xxs Sequences with Additional 2 Parameters

Journal of Integer Sequences, vol.14, pp.1-8, 2011 (Refereed Journals of Other Institutions)

New Identities for F 2n and F 2n 1

International Mathematical Forum, vol.3, pp.147-149, 2008 (Refereed Journals of Other Institutions)

An interesting table related to Fibonacci numbers

Note di matematica, vol.27, pp.285-288, 2007 (Refereed Journals of Other Institutions)

An interesting table contained binormial coefficients

International Journal of Contemporary Mathematical Sciences, vol.1, 2006 (Refereed Journals of Other Institutions)

The applications of Desergues theorem in triangle geometry

Hadronic Journal, vol.29, pp.429-436, 2006 (Refereed Journals of Other Institutions)

An Interesting Table Contained Binomial Coefficients

International Journal of Contemporary Mathematical Sciences, vol.1, no.6, pp.285-288, 2006 (Refereed Journals of Other Institutions)

wo operations in triangle plane

Algebras, Groups and Geometries, vol.22, 2005 (Refereed Journals of Other Institutions)

A remark on a Steiner Lehmus and the automedian triangle

The Mathematical Gazette, vol.88, pp.134-136, 2004 (Refereed Journals of Other Institutions)

Refereed Congress / Symposium Publications in Proceedings

On q-congruences involving q-generalized Catalan numbers

5th International Gap Mathematics-Engineering-Science and HealthSciences Congress, Şanlıurfa, Turkey, 4 - 06 December 2020

On Umbral methods and generalized harmonic numbers H_(n) (a)

International Marmara Sciences Congress (Autumn) 2019, Kocaeli, Turkey, 1 - 03 November 2019, pp.1077-1082

On generalized hyperharmonic numbers of order r, H_{n}{r} (a) with Riordan Arrays

International Marmara Sciences Congress (Autumn) 2019, Kocaeli, Turkey, 1 - 03 November 2019, pp.1065-1070

Congruences related to Harmonik, Balancing and Lucas-Balancing numbers I

2. Uluslararası Gap Matematik-Mühendislik-Fen ve Sağlık Bilimleri Kongresi, Adıyaman, Turkey, 21 - 23 June 2019

Congruences related to Harmonik, Balancing and Lucas-Balancing numbers II

2. Uluslararası Gap Matematik-Mühendislik-Fen ve Sağlık Bilimleri Kongresi, Adıyaman, Turkey, 21 - 23 June 2019

Congruences related to harmonic, balancing and Lucas-balancing numbers I

2. Uluslararası GAP Matematik - Mühendislik - Fen ve Sağlık Bilimleri, Adıyaman, Turkey, 21 - 23 June 2019

Congruences related to harmonic, balancing and Lucas-balancing numbers II

2. Uluslararası GAP Matematik - Mühendislik - Fen ve Sağlık Bilimleri, Adıyaman, Turkey, 21 - 23 June 2019

On congruences with q - binomial coefficients

InternationalEurasian Conference on Science, Engineering and Technology, 22 - 23 November 2018

On matrices with q – analog of the generalized hyperharmonic numbers H_nr(a) of order r

International EurasianConference on Science, Engineering and Technology, 22 - 23 November 2018

On matrices with q – analog of the generalized hyperharmonic numbers of order r

International Eurasian Conference on Science, Engineering and Technology, 22 - 23 November 2018

Some applications for special sequence involving binomialsums

ULUSLARARASI HAKEMLİ GAP ZİRVESİ 1. Uluslararası GAP Matematik -Mühendislik - Fen ve Sağlık Bilimleri, 4 - 07 October 2018, pp.412-419

Some congruences for sums involving Catalan numbers

ULUSLARARASI HAKEMLİ GAP ZİRVESİ 1. Uluslararası GAP Matematik -Mühendislik - Fen ve Sağlık Bilimleri, 4 - 07 October 2018, pp.420-426

Some congruences for Ballot numbers

BMS Mathematical Conference, 12 - 14 July 2018

On hyper-dual generalized Fibonacci numbers

BMS Mathematical Conference, 12 - 14 July 2018

Some congruences for Bollat numbers

BMS Mathematical Conference, 12 - 14 July 2018

On alternating weighted binomial sums with falling factorials

1st International Conference on Mathematical and Related Science, 30 April - 04 May 2018

On congruences for sums involving harmonic numbers

1st International Conference on Mathematical and Related Science, 30 April - 04 May 2018

On identities for sequences of binomial sums with terms of sequences {g_kn} and {h_kn}

4th International Conference on Pure and Applied Sciences: Renewable Energies, İstanbul, Turkey, 23 - 25 November 2017

On identities for binomial sums with terms of sequences {g_kn} and {h_kn}

The 4th International Conference on Pure and Applied Sciences, İstanbul, Turkey, 23 - 25 November 2017

On Congruences with Terms of The Second Order Sequences and

The 4th International Conference on Pure and Applied Sciences, İstanbul, Turkey, 23 - 25 November 2017

On Congruences with the terms of second order sequences {U_kn} and {V_kn}

4th International Conference on Pure and Applied Sciences: Renewable Energies, İstanbul, Turkey, 23 - 25 November 2017

Two asymmetric generalizations of the Filbert matrix

Caucasian Mathematics Conferences CMC II, Van, Turkey, 22 - 24 August 2017

New generalizations of the Filbert and Lilbert matrices

Caucasian Mathematics Conference II, Van, Turkey, 22 - 24 August 2017

New Generalization of the Filbert and Lilbert matrices

Caucasian Mathematics Conferences CMC II, Van, Turkey, 22 August 2017

Formulae for two weighted binomial identities with the falling factorials

6th International Eurasian Conference on Mathematical Sciences and Applications, Budapest, Hungary, 15 - 18 August 2017

On certain type of band matrices with the generalized Fibonacci numbers

6th International Eurasian Conference an Mathematical Sciences and Applications IECMSA, Budapest, Hungary, 15 - 18 August 2017

Formula for two weighted binomial identities with the falling factorials

6th International Eurasian Conference an Mathematical Sciences and Applications IECMSA, Budapest, Hungary, 15 - 18 August 2017

Some permanents of Hessenberg matrices

4th International Conference on Recent Advances in Pure and Applied Mathematics, İzmir, Turkey, 11 - 15 May 2017

On congruences involving special numbers

International Conference an Mathematics and Engineering, İstanbul, Turkey, 10 - 12 May 2017

On identities for sequences of some binomial sums

International Conference an Mathematics and Engineering ICOME, İstanbul, Turkey, 10 - 12 May 2017

Some applications to generalized hyperharmonic numbers of order r and matrices

International Conference an Mathematics and Engineering ICOME, İstanbul, Turkey, 10 - 12 May 2017

On the matrices with the generalized hyperharmonic numbers of order r

The 12th International Conference on Approximation Theory and its Applications, 26 - 29 May 2016

On some congruences

International Conference on Recent Advances in Pure and Applied Mathematics, Muğla, Turkey, 19 - 23 May 2016

On congruences with the terms of second order sequence and Harmonoc numbers

4th International Eurasian Conference on Mathematical Sciences and Applications(IECMSA-2015), 31 August - 03 September 2015

On congruences with the terms of second order sequence and harmonic numbers

4th International Eurasian Conference on Mathematical Sciences and Applications(IECMSA-2015), 31 August - 03 September 2015

On congruences related to central binomial coefficients Harmonic and Lucas numbers

Lebanese International Conference on Mathematics and Applications, Beirut, 26 - 29 May 2015

On congruences with the terms of the sequences U kn and V kn

Lebanese International Conference on Mathematics and Applications, Beirut, 26 - 29 May 2015

On congruences with the terms of the sequences {U_kn} and {V_kn}

Lebanese International Conference on Mathematics and Applications, 26 - 29 May 2015

Congruences on harmonic numbers and second order sequences

International Conference on Algebra and Number Theory, 5 - 08 August 2014

Applications of generalized Fibonacci autocorrelation

Internatıonal Congress In Honour Of Professor Ravı P. Agarwa, 23 - 25 July 2014

Applications of generalized Fibonacci autocorrelation sequences {Γ_{k,n}(τ)}_{τ}^{∞}

International Congress In Honour Of Professor Ravi P. Agarwal, 23 - 26 June 2014

C n a b p q r genelleştirilmiş dizisinin bazı özellikleri

XXVI. Ulusal Matematik Sempozyumu, Diyarbakır, Turkey, 4 - 07 September 2013

Bp kd sayılarını içeren bazı kongrüanslar

XXVI. Ulusal Matematik Sempozyumu, Diyarbakır, Turkey, 4 - 07 September 2013

Genelleştirilmiş Fibonacci ve Lucas dizilerinin terimlerini içeren ilkel Pisagor üçlüleri

XXVI. Ulusal Matematik Sempozyumu, Diyarbakır, Turkey, 4 - 07 September 2013

B_{p,k}^{d} sayılarını içeren bazı kongrüanslar

XXVI. Ulusal Matematik Sempozyumu, Turkey, 4 - 07 September 2013

Finite sums involving generalized Fibonacci and Lucas numbers

International Conference on Discrete Mathematics and Computer Science,Mohammedia, Morocco, 4 - 19 July 2011 Creative Commons License identifier identifier

Generalized binary recurrent Quasi Cycles matrices

International Conference on Discrete Mathematics and Computer Science, Marocco, 5 - 07 July 2011

V kn genelleştirilmiş Luccas dizisinin terimlerinin çarpımlarının toplamları

5. Ankara Matematik Günleri, TOBB Ekonomi ve Teknoloji Üniv., Ankara, , , (2010)Tez:, Ankara, Turkey, 3 - 05 June 2010

The p q Fibonacci hyperbolic functions and their properties

The 13th International Conference on Fibonacci Numbers and Their Applications, Patras, Greece, 7 - 11 July 2008

On Fibonacci k vectors and their applications

The 13th International Conference on Fibonacci Numbers and Their Applications, Patras, Greece, 7 - 11 July 2008

İç İçe Girmiş Dörtgenler İçin Kelebek Teoremi

V.Ulusal Geometri Sempozyumu, Sakarya, Turkey, 4 - 07 July 2007

Üçgen Düzleminde İsogonal Eşlenik Noktalar

III. Geometri Sempozyumu, Eskişehir, Turkey, 4 - 06 July 2005

Fibonacci Sayıları ve Bazı Matrisler Arasındaki İlişkiler

XVII. Ulusal Matematik Sempozyumu, Bolu, Turkey, 23 - 25 August 2004

Altın Oranın Çeşitli Yapıları

II. Geometri Sempozyumu, Sakarya, Turkey, 30 June - 03 July 2004

Üçgenlerin Matris Gösterimi ve Bazı Bağıntılar

XIV. Ulusal Matematik Sempozyumu, Eskişehir, Turkey, 19 - 22 September 2001

Bir Üçgen ile Buna Bağlı Çemberlerin Oluşturduğu Üçgenler Arasındaki Bağıntı

Balıkesir Üniversitesi Matematik Sempozyumu, Sarımsaklı, Turkey, 5 - 07 June 1997

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