Results 71 to 80 of about 446,531 (268)

New Applications of Gegenbauer Polynomials on a New Family of Bi-Bazilevič Functions Governed by the q-Srivastava-Attiya Operator

Mathematics, 2022
In the present paper, making use of Gegenbauer polynomials, we initiate and explore a new family JΣ(λ,γ,s,t,q;h) of holomorphic and bi-univalent functions which were defined in the unit disk D associated with the q-Srivastava–Attiya operator.
A. Wanas, Luminița-Ioana Cotîrlă
semanticscholar   +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

Reconstruction Techniques for Inverse Sturm–Liouville Problems With Complex Coefficients

Mathematical Methods in the Applied Sciences, Volume 48, Issue 17, Page 15875-15889, 30 November 2025.
ABSTRACT A variety of inverse Sturm–Liouville problems is considered, including the two‐spectrum inverse problem, the problem of recovering the potential from the Weyl function, as well as the recovery from the spectral function. In all cases, the potential in the Sturm–Liouville equation is assumed to be complex valued.
Vladislav V. Kravchenko
wiley   +1 more source

Coupling coefficients of SO(n) and integrals over triplets of Jacobi and Gegenbauer polynomials

, 2003
The expressions of the coupling coefficients (3j-symbols) for the most degenerate (symmetric) representations of the orthogonal groups SO(n) in a canonical basis (with SO(n) restricted to SO(n-1)) and different semicanonical or tree bases [with SO(n ...
, , , , , Abramowitz M, Alisauskas S, Alisauskas S, Alisauskas S, Alisauskas S, Alisauskas S, Alisauskas S, Alisauskas S, Alisauskas S, Alisauskas S, Baird B, Barut A O, Bateman G, Biedenharn L C, Biedenharn L C, Biedenharn L C, Gasper G, Gavrilik A M, Gavrilik A M, Gel'fand I M, Gel'fand I M, Hormeß M, Izmest'ev A A, Jucys A P, Junker G, Kampé de Fériet J, Kildyushov M S, Klimyk A U, Kuznetsov G I, Kuznetsov G I, Lohe M A, Moshinsky M, Moshinsky M, Norvaisas E, Norvaisas E, Norvaisas E, Quesne C, Sigitas Alisauskas, Slater L J, Srinavasa Rao K, van der Jeugt J, Varshalovich D A, Vilenkin N J, Vilenkin N Ya, Vilenkin N Ya   +49 more
core   +1 more source

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

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

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

Filter function synthesis by Gegenbauer generating function [PDF]

Serbian Journal of Electrical Engineering, 2006
Low-pass all-pole transfer functions with non-monotonic amplitude characteristic in the pass-band and at least (n -1) flatness conditions for ω = 0 are considered in this paper.
Pavlović Vlastimir D.
doaj   +1 more source

Eighth-Kind Chebyshev Polynomials Collocation Algorithm for the Nonlinear Time-Fractional Generalized Kawahara Equation

Fractal and Fractional, 2023
In this study, we present an innovative approach involving a spectral collocation algorithm to effectively obtain numerical solutions of the nonlinear time-fractional generalized Kawahara equation (NTFGKE).
Waleed Mohamed Abd-Elhameed, Youssri Hassan Youssri, Amr Kamel Amin, Ahmed Gamal Atta   +3 more
doaj   +1 more source

Analytical Solution of Generalized Fractional Integro-Differential Equations via Shifted Gegenbauer Polynomials

MATEMATIKA
In this paper, we proposed an analytical solution for generalized fractional order integro-differential equations with non-local boundary conditions via shifted Gegenbauer polynomials as an approximating polynomial using the Galerkin method and ...
K. Issa, Adebayo Ridwan, Muritala Hambali Suleiman   +2 more
semanticscholar   +1 more source