On a subfamily of starlike functions related to Hyperbolic Cosine function [PDF]
, 2022 Mridula Mundalia, S. Sivaprasad Kumar
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Subordination Properties of Bi‐Univalent Functions Involving Horadam Polynomials
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this research, we investigate a family of q‐extensions defined on an open unit disk, which is based on bi‐univalent functions associated with differential subordination. Next, we define certain classes of bi‐univalent functions using generalized Horadam polynomials.
Ebrahim Amini +2 more
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Some New Applications of the q-Analogous of Differential and Integral Operators for New Subclasses of q-Starlike and q-Convex Functions [PDF]
, 2023 Suha B. Al-Shaikh +3 more
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On the Determinants for a Class of Analytic Function Using Sigmoid Beta‐Catas Operator
Journal of Function Spaces, Volume 2025, Issue 1, 2025.Geometric function theory (GFT) is the study of geometric properties of analytic functions. The cornerstone of GFT is the theory of univalent functions. Several related topics in GFT with various applications have been developed over the years, one of which includes the study of special functions.
Olubunmi A. Fadipe-Joseph +4 more
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Starlikeness associated with parabolic regions
International Journal of Mathematics and Mathematical Sciences, 2005 A parabolic starlike function f of order ρ in the unit disk is characterized by the fact that the quantity zf′(z)/f(z) lies in a given parabolic region in the right half-plane. Denote the class of such functions by PS∗(ρ).
Rosihan M. Ali
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Second Hankel Determinant of Logarithmic Coefficients of Convex and Starlike Functions of Order Alpha [PDF]
, 2021 Bogumiła Kowalczyk, Adam Lecko
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Hadamard Product on Subclasses of Meromorphic Functions Involving q‐Difference Operator
Journal of Function Spaces, Volume 2025, Issue 1, 2025.By making use of a q‐derivative operator, certain families of meromorphic q‐starlike functions and meromorphic q‐convex functions are introduced and studied. In this paper, we define a q‐analogous value of differential operators for meromorphic functions with the help of basic concepts of quantum (q‐)calculus operator theory and introduce new ...
W. Y. Kota +3 more
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Starlike functions of complex order involving q-hypergeometric functions with fixed point
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2014 Recently Kanas and Ronning introduced the classes of starlike and convex functions, which are normalized with f(ksi)=f'(ksi)-1=0, ksi (|ksi|=d) is a fixed point in the open disc U ={z C:|z| 1}.
Kaliappan Vijaya +2 more
doaj
Characterization of p-valent q-starlike functions through Hadamard product and Poisson distribution
Applied Mathematics in Science and EngineeringThis paper presents significant advancement in the study of multivalent functions by introducing three new subclasses of p-valent q-starlike functions, defined with respect to higher-order q-derivatives within the open unit disk of the complex plane ...
Muhammad Uzair Shah +3 more
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Certain classes of starlike functions. [PDF]
Michigan Mathematical Journal, 1985 The author introduces a one parameter family of starlike mappings in the unit disk by proving that if f(z) is analytic in \(| z| 0. \] The proof is based on an extended version of the author's lemma in Trans. Am. Math. Soc. 76, 254-274 (1954; Zbl 0057.311). Some applications are also given.
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