GENERALIZED BINOMIAL CONVOLUTION OF THE mth POWERS OF THE CONSECUTIVE INTEGERS WITH THE GENERAL FIBONACCI SEQUENCE

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Kilic E., Akkus I., ÖMÜR N., Ulutas Y.

DEMONSTRATIO MATHEMATICA, cilt.49, sa.4, ss.379-385, 2016 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 4
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1515/dema-2016-0032
  • Dergi Adı: DEMONSTRATIO MATHEMATICA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.379-385
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, we consider Gauthier's generalized convolution and then define its binomial analogue as well as alternating binomial analogue. We formulate these convolutions and give some applications of them.