Results 21 to 30 of about 263,554 (202)

Summation identities for the Kummer confluent hypergeometric function 1F1(a; b;z)

Kuwait Journal of Science, 2023
The role which hypergeometric functions have in the numerical and symbolic calculation, especially in the fields of applied mathematics and mathematical physics motivated research in this paper.
Gradimir V. Milovanović, Arjun K. Rathie, Nevena M. Vasović   +2 more
doaj   +1 more source

Matrix-Valued Gegenbauer-Type Polynomials [PDF]

Constructive Approximation, 2017
Introducimos funciones de peso con valor de matriz de tamaño arbitrario, que son análogas a la función de peso para Gegenbauer o polinomios ultraesféricos para el parámetro $$\nu >0$$ . La descomposición LDU del peso se da explícitamente en términos de polinomios de Gegenbauer.
Erik Koelink, Ana M. de los Ríos, Pablo Román   +2 more
openaire   +4 more sources

A new strategy for choosing the Chebyshev‐gegenbauer parameters in a reconstruction based on asymptotic analysis

Mathematical Modelling and Analysis, 2010
The Gegenbauer reconstruction method, first proposed by Gottlieb et. al. in 1992, has been considered a useful technique for re‐expanding finite series polynomial approximations while simultaneously avoiding Gibbs artifacts.
Zdzislaw Jackiewicz, R. Park
doaj   +1 more source

Momentum-space conformal blocks on the light cone

Journal of High Energy Physics, 2018
We study the momentum-space 4-point correlation function of identical scalar operators in conformal field theory. Working specifically with null momenta, we show that its imaginary part admits an expansion in conformal blocks.
Marc Gillioz
doaj   +1 more source

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

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

Fourth Teoplitz Determinant for Analytic Function Defined by Gegenbauer Polynomial involving the Sine Function

, 2023
In this work, a new class of analytic function was defined by the Gegenbauer polynomial involving the sine function.
Ademosu, W. T., Fadipe-Joseph, O. A., Oluwaseyi, O. R.   +2 more
core   +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

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.
Tian-Xiao He, Shiue, Peter, Weng, Tsui-Wei, Tsui-Wei Weng, He, Tian-Xiao, Peter J.-S. Shiue   +5 more
core   +1 more source

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