Results 21 to 30 of about 4,376 (199)

Analysis of the numerical scheme of the one-dimensional fractional Rayleigh–Stokes model arising in a heated generalized problem

AIP Advances, 2023
In this paper, we present a well-organized method to estimate the one-dimensional fractional Rayleigh–Stokes model using the construction of orthogonal Gegenbauer polynomials (GBPs) and Lagrange square interpolation to estimate the time derivative ...
H. Mesgarani, Y. Esmaeelzade Aghdam, M. Khoshkhahtinat, B. Farnam   +3 more
doaj   +1 more source

Some methods to evaluate complicated Feynman integrals [PDF]

, 2003
I discuss a progress in calculations of Feynman integrals based on the Gegenbauer Polynomial Technique and the Differential Equation Method.Comment: 2 pages, 1 figure, latex.
A.V. Kotikov, Anastasiou, Anastasiou, Appelquist, Appelquist, Broadhurst, Chetyrkin, Fadin, Fleischer, Fleischer, Fleischer, Fleischer, Fleischer, Fleischer, Fleischer, Gehrmann, Gehrmann, Kondrashuk, Kotikov, Kotikov, Kotikov, Kotikov, Kotikov, Kotikov, Nash, Park, Smirnov, Smirnov, Smirnov, Smirnov, Smirnov, Tausk   +31 more
core   +2 more sources

Fekete-Szegö inequality for a subclass of analytic functions associated with Gegenbauer polynomials

Karpatsʹkì Matematičnì Publìkacìï, 2022
In this paper, we define a subclass of analytic functions by denote $T_{\beta}H\left( z,C_{n}^{\left( \lambda \right) }\left( t\right) \right)$ satisfying the following subordinate condition \begin{equation*} \left( 1-\beta \right) \left( \frac{zf'\left(
M. Kamali
doaj   +1 more source

Propagation of oblique water waves by an asymmetric trench in the presence of surface tension

Journal of Ocean Engineering and Science, 2021
An analysis is presented for the propagation of oblique water waves passing through an asymmetric submarine trench in presence of surface tension at the free surface.
Anjan Sasmal, Soumen De
doaj   +1 more source

Coefficient Bounds and Fekete–Szegö Inequalities for a Two Families of Bi-Univalent Functions Related to Gegenbauer Polynomials

Axioms, 2023
The purpose of this article is to introduce and study certain families of normalized certain functions with symmetric points connected to Gegenbauer polynomials.
Yahya Almalki, Abbas Kareem Wanas, Timilehin Gideon Shaba, Alina Alb Lupaş, Mohamed Abdalla   +4 more
doaj   +1 more source

Regularity theory and high order numerical methods for the (1D)-fractional Laplacian [PDF]

, 2017
This paper presents regularity results and associated high-order numerical methods for one-dimensional Fractional-Laplacian boundary-value problems. On the basis of a factorization of solutions as a product of a certain edge-singular weight $w$ times
Acosta, Gabriel, Borthagaray, Juan Pablo, Bruno, Oscar Ricardo, Maas, Martín Daniel   +3 more
core   +3 more sources

The Spectral Connection Matrix for Any Change of Basis within the Classical Real Orthogonal Polynomials

Mathematics, 2015
The connection problem for orthogonal polynomials is, given a polynomial expressed in the basis of one set of orthogonal polynomials, computing the coefficients with respect to a different set of orthogonal polynomials.
Tom Bella, Jenna Reis
doaj   +1 more source

Matrix Gegenbauer Polynomials: the $2\times 2$ Fundamental Cases [PDF]

, 2015
In this paper, we exhibit explicitly a sequence of $2\times2$ matrix valued orthogonal polynomials with respect to a weight $W_{p,n}$, for any pair of real numbers $p$ and $n$ such that ...
Pacharoni, Inés, Zurrián, Ignacio
core   +3 more sources

Contact interaction of multilayer slabs with an inhomogeneous base

Magazine of Civil Engineering, 2022
The article is devoted to the development of mathematical models and new methods for solving contact problems of multilayer elements of structures with an inhomogeneous base, considering their mechanical, structural features, and to the assessment of ...
Mirsaidov Mirziyod, Mamasoliev Kazokboy
doaj   +1 more source

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

, 2011
Here we present a connection between a sequence of numbers generated by a linear recurrence relation of order 2 and sequences of the generalized Gegenbauer-Humbert polynomials.
Peter J.-S. Shiue, Tian-Xiao He, Tsui-Wei Weng   +2 more
core   +2 more sources