Certain Inequalities for a General Class of Analytic and Bi-univalent Functions

Akgül A.

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, vol.14, no.1, pp.1-13, 2019 (ESCI, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 1
  • Publication Date: 2019
  • Doi Number: 10.22130/scma.2018.70945.277
  • Journal Name: SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.1-13
  • Keywords: Analytic functions, Univalent functions, Bi-univalent functions, Taylor-Maclaurin series expansion, Coefficient bounds and coefficient estimates, Taylor-Maclaurin coefficients, COEFFICIENT, SUBCLASS
  • Kocaeli University Affiliated: Yes

Abstract

In this work, the subclass S-Sigma(h,p) (lambda, delta, gamma) of the function class S of analytic and bi-univalent functions is defined and studied in the open unit disc. Estimates for initial coefficients of Taylor-Maclaurin series of bi-univalent functions belonging this class are obtained. Also, some relevant classes are recognized and connections to previous results are made.