An application of modified sigmoid function to a class of q(- )starlike and q(-) convex analytic error functions

Akgül, ARZU

doi:10.3906/mat-2107-45

An application of modified sigmoid function to a class of q(- )starlike and q(-) convex analytic error functions

Akgül A.

TURKISH JOURNAL OF MATHEMATICS, 2022 (SCI-Expanded, Scopus, TRDizin)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2022
Doi Numarası: 10.3906/mat-2107-45
Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
Anahtar Kelimeler: univalent function, analytic function, q(-) starlike error function, q(-) convex error function, modified sigmoid function, subordination, convolution, COEFFICIENT INEQUALITY
Kocaeli Üniversitesi Adresli: Evet

Özet

In this study, in the open unit disc Lambda, by applying the q(-) derivative operator and the fractional q(-) derivative operator and by using the principle of subordination between analytic functions, we introduce some new interesting subclasses of q(-) starlike and q(-) convex analytic functions associated with error functions and modified sigmoid functions.