Results 51 to 60 of about 146 (94)
Axioms, 2022 The present paper introduces a new class of bi-univalent functions defined on a symmetric domain using Gegenbauer polynomials. For functions in this class, we have derived the estimates of the Taylor–Maclaurin coefficients, a2 and a3, and the Fekete ...
Mohamed Illafe +2 more
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Properties of a Linear Operator Involving Lambert Series and Rabotnov Function
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.This work is an attempt to apply Lambert series in the theory of univalent functions. We first consider the Hadamard product of Rabotnov function and Lambert series with coefficients derived from the arithmetic function σ(n) to introduce a normalized linear operator JRα,βz.
Jamal Salah, Bao Q. Li
wiley +1 more source
Coefficient Bounds for q‐Noshiro Starlike Functions in Conic Region
Journal of Function Spaces, Volume 2024, Issue 1, 2024.We present and examine a new family of analytic functions that can be described by a q‐Ruscheweyh differential operator. We discuss several novel results, including coefficient inequalities and other noteworthy properties such as partial sums and radii of starlikeness.
V. Malathi, K. Vijaya, H. Ozlem Guney
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Fibonacci Numbers Related to Some Subclasses of Bi‐Univalent Functions
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.This research paper introduces the novel subclass ϒΣϑ,β,μq˜ of bi‐univalent functions that are connected to Fibonacci numbers. Our main contributions in this study involve establishing constraints on the absolute values of the second coefficient |a2| and the third coefficient |a3| for functions within this specific subclass.
Ala Amourah +4 more
wiley +1 more source
MathematicsWe investigate some subclasses of regular and bi-univalent functions in the open unit disk that are associated with Lucas-Balancing polynomials in this work.
Sondekola Rudra Swamy +5 more
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Initial Coefficient Estimates for Bi‐Univalent Functions Related to Generalized Telephone Numbers
Journal of Mathematics, Volume 2024, Issue 1, 2024.This study defines three novel classes of bi‐univalent functions connected to generalized telephone numbers for the first time. We produced assessments about the Taylor–Maclaurin coefficients |a2| and |a3| and Fekete–Szegö functional problems for functions involving these novel subclasses for functions in every one regarding these three bi‐univalent ...
Gangadharan Murugusundaramoorthy +5 more
wiley +1 more source
On Certain Classes of p-Valent Functions by Using Complex-Order and Differential Subordination
International Journal of Mathematics and Mathematical Sciences, 2010 The aim of the present paper is to study the p-valent analytic functions in the unit disk and satisfy the differential subordinations z(Ip(r,λ)f(z))(j+1)/(p-j)(Ip(r,λ)f(z))(j)≺(a+(aB+(A-B)β)z)/a(1+Bz), where Ip(r,λ) is an operator defined by Sălăgean ...
Abdolreza Tehranchi, Adem Kılıçman
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On Certain Classes of Convex Functions
International Journal of Mathematics and Mathematical Sciences, 2013 For real numbers α and β such that 0 ...
Young Jae Sim, Oh Sang Kwon
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Alexandria Engineering JournalThe current study’s researchers create a new family of analytic functions in the open unit disk Λ by generalizing the q-difference operator. Our study lays a foundational understanding of the behavior of this functions.
Ekram E. Ali +4 more
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Coefficient Bounds for Certain Subclasses of q-Starlike Functions
Mathematics, 2019 By making use of q-calculus, we define and investigate several new subclasses of bi-univalent mappings related to the q-Noor integral operator. The coefficient bounds | u 2 | , | u 3 | and the Fekete−Szegő problem u ...
Lin-Lin Fan +5 more
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