Results 51 to 60 of about 7,251 (222)

Fekete–Szegö Variations for Some New Classes of Analytic Functions Explained Over Poisson and Borel Distribution Series

Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9241-9252, 30 May 2025.
ABSTRACT The motivation of this paper is to explore and generalize Sakaguchi‐type functions, which play a significant role in geometric function theory. In this context, we introduce four new classes of analytic univalent functions: ℑΨ,tb,α,ρ,ℑϑb,α,ρ,ℑΘ,mb,α,ρ$$ {\Im}_{\Psi, t}^{b,\alpha, \rho },\kern0.3em {\Im}_{\vartheta}^{b,\alpha, \rho },\kern0.3em
Arzu Akgül
wiley   +1 more source

A certain subclass of starlike functions defined by subordination [PDF]

Journal of Mahani Mathematical Research
In the present paper, we introduce and investigate a new result connected to subclasses of normalized and univalent functions in the open unit disk.
Khatere Sheikhi, Shahram Najafzadeh
doaj   +1 more source

Unique solutions to boundary value problems in the cold plasma model

, 2010
The unique existence of a weak solution to the homogeneous closed Dirichlet problem on certain D-star-shaped domains is proven for a mixed elliptic-hyperbolic equation.
Otway, Thomas H.
core   +1 more source

Weakly starlike meromorphic univalent functions [PDF]

Transactions of the American Mathematical Society, 1975
A weakly starlike meromorphic univalent function is one of the form f ( z ) = − ρ z g ( z ) [ ( z − ρ ) ( 1 − ρ z ) ] −
Libera, Richard J., Livingston, Albert E.   +1 more
openaire   +2 more sources

On the Eccentric Spectra of the Line Graph of Starlike Trees

Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
A tree is called starlike if it has exactly one vertex with a degree greater than two. In this paper, we determine the eccentricity spectrum of the line graphs of starlike trees and compute their eccentric energy. Furthermore, we establish that the eccentricity matrix of the line graph of any starlike tree is irreducible.
S. Balamoorthy, S. V. Bharanedhar, Yilun Shang, R. Gurusamy, Palanivel M   +4 more
wiley   +1 more source

Relations of Harmonic Starlike Function Subclasses with Mittag–Leffler Function

Axioms
In this study, the connection between certain subfamilies of harmonic univalent functions is established by utilizing a convolution operator involving the Mittag–Leffler function.
Naci Taşar, Fethiye Müge Sakar, Seher Melike Aydoğan, Georgia Irina Oros   +3 more
doaj   +1 more source

Certain Constraints for Functions Provided by Touchard Polynomials

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
Since finding solutions to integral equations is usually challenging analytically, approximate methods are often required, one of which is based on Touchard polynomials. This paper examines the necessary constraints for the functions Ϝετς,Πε,τ,ςℏ, and the integral operator Lετς, defined by Touchard polynomials, to be in the comprehensive subclass ∁η(q3,
Tariq Al-Hawary, Mohamed Illafe, Feras Yousef, Shikha Binwal   +3 more
wiley   +1 more source

On a Subfamily of q-Starlike Functions with Respect to m-Symmetric Points Associated with the q-Janowski Function [PDF]

, 2023
Ihtesham Gul, Sa’ud Al-Sa’di, Khalida Inayat Noor, Saqib Hussain   +3 more
openalex   +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