Results 41 to 50 of about 499 (184)
Norm Estimates of the Pre-Schwarzian Derivatives for Functions with Conic-like Domains
Mathematics, 2023 The pre-Schwarzianand Schwarzian derivatives of analytic functions f are defined in U, where U is the open unit disk. The pre-Schwarzian as well as Schwarzian derivatives are popular tools for studying the geometric properties of analytic mappings. These
Sidra Zafar +3 more
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Extension of Nunokawa Lemma for Functions with Fixed Second Coefficient and Its Applications
Journal of Function Spaces, 2021 In this paper, we study some properties of analytic functions with fixed initial coefficients. The methodology of differential subordination is used for modification and improvements of several well-known results for subclasses of univalent functions by ...
Mostafa Amani +2 more
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Subordinations and Norm Estimates for Functions Associated with Ma-Minda Subclasses
Mathematics, 2022 For a function p analytic in the open unit disc and satisfying p(0)=1, we prove certain subordination implications of the first order differential subordination 1+zp′(z)≺1+Mz, which provides sufficient conditions for a function to belong to various ...
Aaisha Farzana Habibullah +2 more
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Coefficient Estimates for Some Subclasses of Analytic and Bi-Univalent Functions Associated with Conic Domain [PDF]
Sahand Communications in Mathematical Analysis, 2019 The main objective of this investigation is to introduce certain new subclasses of the class $Sigma $ of bi-univalent functions by using concept of conic domain.
Muhamamd Tahir +4 more
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Geometric properties of Wright function [PDF]
Mathematica Bohemica, 2018 In the present paper, we investigate certain geometric properties and inequalities for the Wright function and mention a few important consequences of our main results. A nonlinear differential equation involving the Wright function is also investigated.
Sudhananda Maharana +2 more
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The sharp version of a strongly starlikeness condition [PDF]
Acta Universitatis Sapientiae, Mathematica, 2017 Abstract In this paper we give the best form of a strongly starlikeness condition. Some consequences of this result are deduced. The basic tool of the research is the method of differential subordinations.
Engel Olga, Juma Abdul Rahman S.
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Strongly gamma-starlike functions of order alpha
, 2015 In this work we consider the class of analytic functions \(\mathcal{G}(\alpha,\gamma)\), which is a subset of gamma-starlike functions introduced by Lewandowski, Miller and Złotkiewicz in Gamma starlike functions, Ann. Univ. Mariae Curie-Skłodowska, Sect.
Sokół, Janusz, Nunokawa, Mamoru
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Strongly gamma-starlike functions of order alpha
, 2013 In this work we consider the class of analytic functions \(\mathcal{G}(\alpha,\gamma)\), which is a subset of gamma-starlike functions introduced by Lewandowski, Miller and Złotkiewicz in Gamma starlike functions, Ann. Univ. Mariae Curie-Skłodowska, Sect.
Sokół, Janusz, Nunokawa, Mamoru
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Strongly starlike and spirallike functions [PDF]
Annales Polonici Mathematici, 2005 The author studies the concepts of strong starlikeness and spirallikeness with respect to a finite point as well as with respect to infinity. He also considers the meromorphic strongly starlike and meromorphic spirallike functions of order \((\alpha,\beta)\). New method of proofs are presented.
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Coefficients Of The Inverse Of Strongly Starlike Functions. [PDF]
, 2003 For the class of strongly starlike functions, sharp bounds on the first four coefficients of the inverse functions are determined. A sharp estimate for the Fekete-Szego coefficient functional is also obtained.
M. Ali, Roslhan
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