A certain convolution approach for subclasses of analytic functions with negative coefficients

DOI10.1080/10652460902749437zbMath1219.26010OpenAlexW2121617265MaRDI QIDQ3644326

Bilal Şeker, Sevtap Sümer Eker, Hari M. Srivastava

Publication date: 4 November 2009

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460902749437

zbMATH Keywords

analytic functionscoefficient inequalitiesdistortion inequalitiesHadamard product (or convolution)operators of fractional calculussubordination between analytic functionsSălăgean derivative operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Gamma, beta and polygamma functions (33B15) Inequalities in the complex plane (30A10)

Related Items (3)

Some Inequalities and Other Results Associated with Certain Subclasses of Univalent and Bi-Univalent Analytic Functions ⋮ Subordination properties of certain classes of multivalently analytic functions ⋮ Coefficient estimates for certain subclasses of spiral-like functions of complex order

Cites Work

• Unnamed Item
• Prestarlike functions with negative coefficients
• A certain fractional derivative operator and its applications to a new class of analytic and multivalent functions with negative coefficients. II
• Some characterization and distortion theorems involving fractional calculus, generalized hypergeometric functions, Hadamard products, linear operators, and certain subclasses of analytic functions
• Univalent and Starlike Generalized Hypergeometric Functions
• Certain classes of univalent functions with negative coefficients II

This page was built for publication: A certain convolution approach for subclasses of analytic functions with negative coefficients