Results 81 to 90 of about 441,925 (264)

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
semanticscholar   +1 more source

The affine group and generalized Gegenbauer polynomials

Computers & Mathematics with Applications, 2001
Let \((\xi_1,\xi_2)\) denote a basis of the Lie algebra \(\mathbb{L}\) of the affine group with commutator relation \([\xi_1,\xi_2] =\xi_2\). Representing \(\mathbb{L}\) by the action on polynomials leads to the investigation of operators of the following type: Put \(\xi_1= x\cdot D+\alpha\) (for some constant \(\alpha)\), i.e. \(\xi_1x^n= (n+\alpha) x^
Ph. Feinsilver, Uwe Franz
openaire   +3 more sources

High-Order Numerical Solution of Second-Order One-Dimensional Hyperbolic Telegraph Equation Using a Shifted Gegenbauer Pseudospectral Method

, 2015
We present a high-order shifted Gegenbauer pseudospectral method (SGPM) to solve numerically the second-order one-dimensional hyperbolic telegraph equation provided with some initial and Dirichlet boundary conditions.
Elgindy, Kareem T.
core   +1 more source

Polyharmonic approximation on the sphere [PDF]

, 2009
The purpose of this article is to provide new error estimates for a popular type of SBF approximation on the sphere: approximating by linear combinations of Green's functions of polyharmonic differential operators.
B.J.C. Baxter, C. Müller, C. Odell, G. Szegő, G. Wahba, H. Triebel, H. Wendland, H.N. Mhaskar, H.Q. Minh, K. Jetter, M. Golomb, Q.T. Gia Le, S. Hubbert, S. Hubbert, T. Hangelbroek, T. Hangelbroek, V.S. Videnskiĭ, W. Freeden   +17 more
core   +2 more sources

Sequences of Non-Gegenbauer-Humbert Polynomials Meet the Generalized Gegenbauer-Humbert Polynomials [PDF]

ISRN Algebra, 2011
Here, we present a connection between a sequence of polynomials generated by a linear recurrence relation of order 2 and sequences of the generalized Gegenbauer-Humbert polynomials. Many new and known transfer formulas between non-Gegenbauer-Humbert polynomials and generalized Gegenbauer-Humbert polynomials are given.
Tian-Xiao He, Peter J.-S. Shiue
openaire   +2 more sources

Fundamental Solutions and Green's Functions for Certain Elliptic Differential Operators From a Pseudodifferential Algebra

Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12654-12674, September 2025.
ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad, Gohar Flad‐Harutyunyan   +1 more
wiley   +1 more source

Hermite and Gegenbauer polynomials in superspace using Clifford analysis

, 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   +2 more sources

An application of Gegenbauer polynomials in queueing theory

Journal of Computational and Applied Mathematics, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ellen De Waard, Gerard Hooghiemstra, H. Bavinck   +2 more
openaire   +2 more sources

Semi‐analytical solution of axisymmetric indentation of poroelastic multi‐layer coating on a substrate

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 9, September 2025.
Abstract We propose a novel semi‐analytical solution of the indentation problem for a poroelastic multi‐layer system. This study addresses the time‐dependent behavior of materials, such as biological tissues, where mechanical properties vary within the structures.
Kotaro Miura, Makoto Sakamoto, Kazuhiko Sasagawa   +2 more
wiley   +1 more source

Fekete-Szegö Inequality for Analytic and Biunivalent Functions Subordinate to Gegenbauer Polynomials

Journal of Function Spaces, 2021
In the present paper, a subclass of analytic and biunivalent functions by means of Gegenbauer polynomials is introduced. Certain coefficients bound for functions belonging to this subclass are obtained.
Ala Amourah, Basem Aref Frasin, Thabet Abdeljawad   +2 more
doaj   +1 more source