Results 41 to 50 of about 133 (107)

Results on a certain class of analytic functions associated with Chebyshev polynomial

Scientific African, 2023
In this work, it was established that Chebyshev polynomial of the second kind belongs to the class of functions with positive real part. The convolution of the Chebyshev polynomial and modified sigmoid function was established to also give functions ...
M.O. Oluwayemi, Olubunmi A. Fadipe-Joseph   +1 more
doaj   +1 more source

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

International 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, Raghavendar K., Teodor Bulboaca   +2 more
wiley   +1 more source

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

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
wiley   +1 more source

On some geometric results for generalized k-Bessel functions

Demonstratio Mathematica, 2023
The main aim of this article is to present some novel geometric properties for three distinct normalizations of the generalized kk-Bessel functions, such as the radii of uniform convexity and of α\alpha -convexity.
Toklu Evrim
doaj   +1 more source

Hankel and Toeplitz Determinants for q‐Starlike Functions Involving a q‐Analog Integral Operator and q‐Exponential Function

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
This article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q‐starlike functions defined by a q‐analog integral operator, which is a more general form of the q‐Srivastava‐Attiya operator, and the q‐exponential function eq(z).
Sarem H. Hadi, Maslina Darus, Rabha W. Ibrahim, Samuel Nicolay   +3 more
wiley   +1 more source

Fekete-Szegö functional for a class of non-Bazilevic functions related to quasi-subordination

Demonstratio Mathematica, 2023
In this article, we study the Fekete-Szegö functional associated with a new class of analytic functions related to the class of bounded turning by using the principle of quasi-subordination.
Shah Syed Ghoos Ali, Al-Sa’di Sa’ud, Hussain Saqib, Tasleem Asifa, Rasheed Akhter, Cheema Imran Zulfiqar, Darus Maslina   +6 more
doaj   +1 more source

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, R. M. El-Ashwah, Nicoleta Breaz, Shrideh K. Q. Al-Omari   +3 more
wiley   +1 more source

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, Kaliappan Vijaya, Gangadharan Murugusundaramoorthy, Ming-Sheng Liu   +3 more
wiley   +1 more source

On Certain Improvements on Coefficient Bounds for a Subclass of Convex Functions Associated With Cosine Functions

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this article, we have studied the class Ccos of normalized analytic functions f satisfying 1 + zf″(z)/f′(z)≺cos(z). We present the improved coefficient bounds and the Hankel determinants of fourth order for functions lying in the class Ccos. We also extended the same results for the inverse function.
Umar Raza, Mohsan Raza, Afis Saliu, Ming-Sheng Liu   +3 more
wiley   +1 more source

Faber Polynomial Coefficients and Applications in Analytic Function Class

Journal of Mathematics, Volume 2025, Issue 1, 2025.
Through this paper, by using the subordination definition, the ℘‐analogues Cătaş operator I℘nλ,I, complex order, and biunivalent functions with coefficients introduced by Faber polynomial expansion, we introduced the new class S℘,n∗f,λ,I,ξ,α,ϕ. A Faber polynomial is known as a sequence of polynomials that are used to approximate an analytic function on
Samar Mohamed, Fatma Z. El-Emam, Pramita Mishra   +2 more
wiley   +1 more source