Results 21 to 30 of about 446,531 (268)

Algebraic Generating Functions for Gegenbauer Polynomials [PDF]

, 2017
It is shown that several of Brafman's generating functions for the Gegenbauer polynomials are algebraic functions of their arguments, if the Gegenbauer parameter differs from an integer by one-fourth or one-sixth.
Maier, Robert S.
core   +2 more sources

Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer Polynomials

Journal of Mathematics, 2022
In this paper, we introduce and investigate a new subclass of bi-univalent functions related with generating function of Gegenbauer polynomials. We will mainly find bounds on Maclaurin series coefficients for functions belonging to this class.
Ibrar Ahmad, Syed Ghoos Ali Shah, Saqib Hussain, Maslina Darus, Babar Ahmad   +4 more
doaj   +2 more sources

Hermite and Gegenbauer polynomials in superspace using Clifford analysis [PDF]

, 2007
The Clifford-Hermite and the Clifford-Gegenbauer polynomials of standard Clifford analysis are generalized to the new framework of Clifford analysis in superspace in a merely symbolic way.
Bartocci C, Berezin F A, Brackx F, Brackx F, Cnops J, De Bie H, De Bie H, De Bie H, De Bie H Sommen F, De Bie H Sommen F, Delanghe R, F Sommen, Gilbert J E, H De Bie, Leites D A, Leites D A   +15 more
core   +3 more sources

On the Generalized Class of Multivariable Humbert-Type Polynomials

International Journal of Mathematics and Mathematical Sciences
The present paper deals with the class of multivariable Humbert polynomials having generalization of some well-known polynomials like Gegenbauer, Legendre, Chebyshev, Gould, Sinha, Milovanović-Djordjević, Horadam, Horadam-Pethe, Pathan and Khan, a class ...
B. B. Jaimini, null Meenu, S. D. Purohit, D. L. Suthar   +3 more
doaj   +2 more sources

A study of the Fekete-Szegö functional and coefficient estimates for subclasses of analytic functions satisfying a certain subordination condition and associated with the Gegenbauer polynomials

AIMS Mathematics, 2021
In this paper, we introduce and study a new subclass of normalized analytic functions, denoted by \begin{document}$ \mathcal F_{\left(\beta,\gamma\right)} \bigg(\alpha,\delta,\mu,H\big(z,C_{n}^{\left(\lambda \right)} \left(t\right)\big)\bigg), $\end ...
H. M. Srivastava, Muhammet Kamali̇, Anarkül Urdaletova   +2 more
openalex   +2 more sources

An application of the Mittag-Leffler-type Borel distribution and Gegenbauer polynomials on a certain subclass of bi-univalent functions. [PDF]

Heliyon
Hussen A.
europepmc   +2 more sources

A Class of Non-Bazilevic Functions Subordinate to Gegenbauer Polynomials

International Journal of Analysis and Applications
In this paper, we introduce and investigate a class non-Bazilevic functions that associated by Gegenbauer Polynomials. The coefficient estimates of functions belonging to this class are derived.
Waleed Al-Rawashdeh
openalex   +3 more sources

COEFFICIENT BOUNDS FOR REGULAR AND BI-UNIVALENT FUNCTIONS LINKED WITH GEGENBAUER POLYNOMIALS

Проблемы анализа, 2021
The main goal of the paper is to initiate and explore two sets of regular and bi-univalent (or bi-Schlicht) functions in 𝔇 = {𝑧 ∈ C : |𝑧| < 1} linked with Gegenbauer polynomials.
S. R. Swamy, S. Yalçın
doaj   +2 more sources

Coefficient bounds for regular and bi-univalent functions linked with Gegenbauer polynomials

Gulf Journal of Mathematics, 2022
Making use of Gegenbauer polynomials, we initiate and explore two sets of normalized regular and bi-univalent (or bi-Schlicht) functions in the unit disc linked with Gegenbauer polynomials.
Swamy SR, Waggas Galib Atshan
openalex   +3 more sources

Ultraspherical/Gegenbauer polynomials to unify 2D/3D Ambisonic directivity designs [PDF]

arXiv.org
This report on axisymmetric ultraspherical/Gegenbauer polynomials and their use in Ambisonic directivity design in 2D and 3D presents an alternative mathematical formalism to what can be read in, e.g., my and Matthias Frank's book on Ambisonics or J\'er\^
Franz Zotter
openalex   +2 more sources