A study on certain classes of multivalent analytic functions with fixed second coefficients

Fayzah Awad Alshehri; Abeer O. Badghaish; Amani Z. Bajamal; Abdel Moneim Y. Lashin

doi:10.4134/CKMS.c240106

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A study on certain classes of multivalent analytic functions with fixed second coefficients

Fayzah Awad Alshehri|Abeer O. Badghaish|Amani Z. Bajamal|Abdel Moneim Y. Lashin

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키워드

Analytic functions strongly convex and starlike functions argument properties inclusion relations Bernardi integral operator

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초록

This paper examines two novel subclasses of multivalent analytic functions in the open unit disc, characterized by fixed second coefficients. These subclasses interestingly unify several previously introduced and studied subclasses. We establish some argument properties and discuss the integral operator for functions in these subclasses. Our results include new findings that generalize and refine the related works of various authors.

Abstract

This paper examines two novel subclasses of multivalent analytic functions in the open unit disc, characterized by fixed second coefficients. These subclasses interestingly unify several previously introduced and studied subclasses. We establish some argument properties and discuss the integral operator for functions in these subclasses. Our results include new findings that generalize and refine the related works of various authors.

관련 논문AI추천

On certain classes of multivalent functions involving a generalized differential operatorChellian Selvaraj, Kuppathai A. Selvakumaran대한수학회 · 대한수학회보2009 · 제46권 제5호 Multivalent Non-Carath\'eodory Functions Involving Higher Order DerivativesAlagiriswamy Senguttuvan, Daniel Breaz, Kadhavoor Ragavan Karthikeyan, Sakkarai Lakshmi대한수학회 · 대한수학회논문집2024 · 제39권 제3호 New Subclass of p-valent Close-to-convex FunctionsGagandeep Singh, Gurcharanjit Singh한국수학교육학회 · 이론수학과 교직수학2025 · 제32권 제1호 Coefficient estimates for certain subclass of meromorphic and bi-univalent functionsAhmad Zireh, Safa Salehian대한수학회 · 대한수학회논문집2017 · 제32권 제2호 Subclasses of Analytic Functions Defined with Generalized Sãlãgean OperatorGagandeep Singh, Gurcharanjit Singh, Gurmeet Singh장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제2호 Coeffcient Bounds for Several Subclasses of Analytic and Bi-univalent FunctionsHossein Piri, Janusz Sokol, Samira Rahrovi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제2호

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