Results 21 to 30 of about 3,034 (119)
ON GENERATING FUNCTIONS OF MODIFIED GEGENBAUER POLYNOMIALS [PDF]
International Journal of Pure and Apllied Mathematics, 2013 Abstract: In this article, we have obtained some novel theorems on generating functions (both bilateral and mixed trilateral) of modified Gegenbauer polynomials by introducing a partial differential operator obtained by single interpretation to the index of the polynomial under consideration in Weisner’s group-theoretic method [2]. Furthermore, we have
S. Alam, A.K. Chongdar
openaire +1 more source
Parameter and q asymptotics of Lq‐norms of hypergeometric orthogonal polynomials
International Journal of Quantum Chemistry, Volume 123, Issue 2, January 15, 2023., 2023 The weighted Lq‐norms of orthogonal polynomials are determined when q and the polynomial's parameter tend to infinity. They are given in this work by the leading term of the q and parameter asymptotics of the corresponding quantities of the associated probability density. These results are not only interesting per se, but also because they control many
Nahual Sobrino, Jesus S. Dehesa
wiley +1 more source
Mathematics, 2018 This paper is concerned with representing sums of the finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials in terms of several classical orthogonal polynomials.
Taekyun Kim +3 more
doaj +1 more source
Fourier, Gegenbauer and Jacobi Expansions for a Power-Law Fundamental Solution of the Polyharmonic Equation and Polyspherical Addition Theorems [PDF]
, 2013 We develop complex Jacobi, Gegenbauer and Chebyshev polynomial expansions for the kernels associated with power-law fundamental solutions of the polyharmonic equation on d-dimensional Euclidean space.
Cohl, Howard S.
core +3 more sources
Onset of Convection in Rotating Spherical Shells: Variations With Radius Ratio
Earth and Space Science, Volume 10, Issue 1, January 2023., 2023 Abstract Convection in rotating spherical layers of fluid is ubiquitous in spherical astrophysical objects like planets and stars. A complete understanding of the magnetohydrodynamics requires understanding of the linear problem—when convection onsets in these systems.
A. Barik +4 more
wiley +1 more source
Advances in Mathematical Physics, Volume 2023, Issue 1, 2023., 2023 This paper uses Müntz orthogonal functions to numerically solve the fractional Bagley–Torvik equation with initial and boundary conditions. Müntz orthogonal functions are defined on the interval [0, 1] and have simple and distinct real roots on this interval.
S. Akhlaghi +3 more
wiley +1 more source
Branching laws for Verma modules and applications in parabolic geometry. I [PDF]
, 2015 We initiate a new study of differential operators with symmetries and combine this with the study of branching laws for Verma modules of reductive Lie algebras.
Kobayashi, Toshiyuki +3 more
core +1 more source
Conformal string operators and evolution of skewed parton distributions [PDF]
, 1999 We have investigated skewed parton distributions in coordinate space. We found that their evolution can be described in a simple manner in terms of non-local, conformal operators introduced by Balitsky and Braun.
Balitskii +48 more
core +2 more sources
A "Continuous" Limit of the Complementary Bannai-Ito Polynomials: Chihara Polynomials [PDF]
, 2014 A novel family of $-1$ orthogonal polynomials called the Chihara polynomials is characterized. The polynomials are obtained from a "continuous" limit of the complementary Bannai-Ito polynomials, which are the kernel partners of the Bannai-Ito polynomials.
Genest, Vincent X. +2 more
core +4 more sources
Orthogonality of Hermite polynomials in superspace and Mehler type formulae [PDF]
, 2011 In this paper, Hermite polynomials related to quantum systems with orthogonal O(m)-symmetry, finite reflection group symmetry G < O(m), symplectic symmetry Sp(2n) and superspace symmetry O(m) x Sp(2n) are considered.
Coulembier, Kevin +2 more
core +3 more sources