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) identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.3906/mat-2107-45
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Keywords: univalent function, analytic function, q(-) starlike error function, q(-) convex error function, modified sigmoid function, subordination, convolution, COEFFICIENT INEQUALITY
  • Kocaeli University Affiliated: Yes

Abstract

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.