Results 61 to 70 of about 11,578 (225)
Journal 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
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Tarantula graphs are determined by their Laplacian spectrum
Electronic Journal of Graph Theory and Applications, 2021 A graph G is said to be determined by its Laplacian spectrum (DLS) if every graph with the same Laplacian spectrum is isomorphic to G. A graph which is a collection of hexagons (lengths of these cycles can be different) all sharing precisely one vertex ...
Reza Sharafdini, Ali Zeydi Abdian
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Properties of a new integral operator
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, we derive sufficient conditions for the univalence, star- likeness, convexity and some other properties in the class N (ρ) ; for a new integral operator defined on the space of normalized analytic functions in the open unit disk.
Bucur Roberta +2 more
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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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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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On subordination for certain subclass of analytic functions
International Journal of Mathematics and Mathematical Sciences, 1997 In the present paper the class Pn[α,M] consisting of functions f(z)=z+∑k=n+1∞akzz(n≥1), which are analytic in the unit disc E={z:|z|
Liu Jinlin
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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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Subclass of harmonic starlike functions associated with salagean derivative
Le Matematiche, 2014 The purpose of the present paper is to establish some results involving coefficient conditions, distortion bounds, extreme points, convolution, and convex combinations for a new class of harmonic univalent functions in the open unit disc \ associated ...
H. E. Darwish +2 more
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Bi‐Starlike Function of Complex Order Involving Rabotnov Function Associated With Telephone Numbers
Journal of Mathematics, Volume 2025, Issue 1, 2025.Telephone numbers defined through the recurrence relation Qn=Qn−1+n−1Qn−2 for n ≥ 2, with initial values of Q0=Q1=1. The study of such numbers has led to the establishment of various classes of analytic functions associated with them. In this paper, we establish two new subclasses of bi‐convex and bi‐starlike functions of complex order in the open unit
Sa’ud Al-Sa’di +3 more
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On a Subfamily of Analytic Functions Associated With q‐Sălăgean Operator
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this article, we study a new subfamily of analytic functions associated with q‐Janowski function using q‐Sălăgean operator. We explore certain properties of the functions belonging to this new class which include sufficient condition, inclusion results, and coefficient estimate bounds for Fekete–Szegö functional. Several consequences of main results
Ihtesham Gul +6 more
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