Starlikeness and convexity of the product of certain multivalent functions with higher-order derivatives

DOI10.1515/ms-2017-0471zbMath1482.30030OpenAlexW3173166591MaRDI QIDQ2054627

Abdel Moneim Lashin, Teodor Bulboacă, M. K. Aouf

Publication date: 3 December 2021

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2017-0471

zbMATH Keywords

convex functionsstar-like functionsnew classes of analytic functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Cites Work

• Integral operators on Ma-Minda type starlike and convex functions
• Bounded \(p\)-valent Robertson functions defined by using a differential operator
• On uniformly starlike functions
• Certain integral operators on the classes \(\mathcal M(\beta_i)\) and \(\mathcal N(\beta_i)\)
• Convexity of integral operators of \(p\)-valent functions
• Norm of pre-Schwarzian derivative for the class of \(k\)-uniformly convex and \(k\)-starlike functions
• On a class of p-valent starlike functions of order \(\alpha\)
• Conic regions and \(k\)-uniform convexity
• Properties of certain \(p\)-valently convex functions
• Generalized hypergeometric functions associated with \(k\)-uniformly convex functions.
• Coefficient inequalities for certain analytic functions
• On Products of Starlike Functions
• A Note on the paper of Breaz and Güney
• Uniformly convex functions
• INCLUSION RELATIONS FOR k-UNIFORMLY STARLIKE AND RELATED FUNCTIONS UNDER CERTAIN INTEGRAL OPERATORS
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