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


Akgül A.

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, cilt.14, sa.1, ss.1-13, 2019 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.22130/scma.2018.70945.277
  • Dergi Adı: SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.1-13
  • Anahtar Kelimeler: Analytic functions, Univalent functions, Bi-univalent functions, Taylor-Maclaurin series expansion, Coefficient bounds and coefficient estimates, Taylor-Maclaurin coefficients, COEFFICIENT, SUBCLASS
  • Kocaeli Üniversitesi Adresli: Evet

Özet

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.