Results 51 to 60 of about 2,822,582 (218)
A new subclass of the meromorphic harmonic γ-starlike functions
, 2011 Recently Bostanci and Ozturk defined a new operator M-n for meromorphic harmonic functions. They introduced new classes of meromorphic harmonic starlike functions in (U) over tilde = (z : vertical bar z vertical bar > 1) using operator M-n. In this work,
Bostancı, Hakan +4 more
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Toeplitz Determinants for Inverse of Analytic Functions
MathematicsEstimates bounds for Carathéodory functions in the complex domain are applied to demonstrate sharp limits for the inverse of analytic functions. Determining these values is considered a more difficult task compared to finding the values of analytic ...
Sarem H. Hadi +4 more
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Certain subclasses of meromorphic harmonic starlike functions
, 2008 In a previous paper M.- P. Chen, Z.- R. Wu and Z.- Z. Zou [ M. P. Chen, Z.- R. Wu and Z.- Z. Zou, On functions alpha- starlike with respect to symmetric conjugate points, J. Math. Anal. Appl. 201 ( 1996) 25 - 34] developed a method, using some operators,
Bostancı, H., Öztürk, M.
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On a Subclass of Starlike Functions
Rocky Mountain Journal of Mathematics, 1994 Let \(A\) denote the class of functions \(f(z)= z+ \sum^ \infty_{k= 2} a_ k z^ k\) analytic in the unit disk \(D\), \(S\) and \(S^*\) denote the usual subclasses of univalent and starlike functions. For \(\beta< 1\) let \[ R(\beta)= \{ f\in A: \text{Re}(f'(z)+ zf''(z))> \beta,\;z\in D\}\text{ and } \beta_{S^*}= \inf\{\beta: R(\beta)\subset S^*\}. \] In
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Sandwich Theories for Pascal Distribution–Related Univalent Functions
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper investigates differential subordination and superordination for univalent functions, emphasizing operators derived from the Pascal distribution. Motivated by the limited existing results using this operator, the study establishes new sandwich‐type theorems.
Fatma Z. El-Emam +2 more
wiley +1 more source
The Normalized Prabhakar Fractional Operator’s Boundedness Across Various Spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.A functional space called the Bloch space is made up of analytic functions on the unit disk in the complex plane. These functions provide a number of benefits and intriguing characteristics, as well as meeting specific growth requirements. In this notice, the boundedness of certain fractional integral operator in a class of Bloch spaces is investigated.
Rabha W. Ibrahim, Shikha Binwal
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Study of (p, q)‐Symmetric Starlike Functions of Order η
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In the field of geometric function theory, we use the (p, q)‐differential operator in the complex unit disk to describe a novel class Sp,q∗∗η of symmetrical starlike functions of order η. Several interesting properties of functions belonging to the class Sp,q∗∗η are examined, such as growth, distortion, and convolution characteristics.
Imran Khan +4 more
wiley +1 more source
Hermitian-Toeplitz determinants and some coefficient functionals for the starlike functions [PDF]
, 2023 summary:In this paper, we have determined the sharp lower and upper bounds on the fourth-order Hermitian-Toeplitz determinant for starlike functions with real coefficients.
Kumar, Virendra +2 more
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Starlikeness of a generalized Bessel function [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2018 15 ...
Ali, Rosihan M. +2 more
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On Subclasses of Spiral‐Like Functions Defined by the q‐Derivative Operator
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In 1990, Ismail et al. introduced a generalized class of starlike functions using the q‐derivative operator. Similarly, many authors have studied various subclasses of analytic functions involving the q‐derivative operator from different perspectives. This paper is aimed at presenting new subclasses of analytic and spiral‐like functions related to the ...
Fatma Z. El-Emam +2 more
wiley +1 more source