Results 51 to 60 of about 2,859 (232)

A certain subclass of meromorphically q-starlike functions associated with the Janowski functions

open access: yesJournal of Inequalities and Applications, 2019
In this paper, the authors introduce a new subclass of meromorphic q-starlike functions which are associated with the Janowski functions. A characterization of meromorphically q-starlike functions associated with the Janowski functions has been obtained ...
Shahid Mahmood   +5 more
doaj   +1 more source

Inclusion Theorems of Certain Integral Transform Related to Normalized Hypergeometric Functions and Generalized Bessel Functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
This study explores the geometric properties of normalized Gaussian hypergeometric functions in a certain subclass of analytic functions. This work investigates the inclusion properties of integral operators associated with generalized Bessel functions of the first kind.
Manas Kumar Giri   +2 more
wiley   +1 more source

Geometric Properties of New Subclasses of Meromorphic Harmonic Functions Associated With Janowski Functions Defined by q‐Calculus

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
This paper establishes new applications of q‐calculus for meromorphic harmonic functions, utilizing concepts of convolutions, subordination, and the q‐difference operator. We introduce the q‐Ruscheweyh‐type derivative operator for meromorphic harmonic functions and utilize it to define and explore novel subclasses related to Janowski functions.
Ahmad A. Abubaker, Abdul Rauf Khan
wiley   +1 more source

Growth Theorems for a Subclass of Strongly Spirallike Functions

open access: yesJournal of Applied Mathematics, 2014
In this paper we consider a subclass of strongly spirallike functions on the unit disk D in the complex plane C, namely, strongly almost spirallike functions of type β and order α.
Yan-Yan Cui, Chao-Jun Wang, Si-Feng Zhu
doaj   +1 more source

Subordination Properties of Bi‐Univalent Functions Involving Horadam Polynomials

open access: yesJournal 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
wiley   +1 more source

On the Determinants for a Class of Analytic Function Using Sigmoid Beta‐Catas Operator

open access: yesJournal 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
wiley   +1 more source

Certain classes of starlike functions. [PDF]

open access: yesMichigan 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.
openaire   +2 more sources

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