On some special polynomials-Reference-Cited by-同舟云学术

On some special polynomials

Published:2003-11-25 Issue:4 Volume:132 Page:1049-1058
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Karachik V.

Abstract

New special functions called G G -functions are introduced. Connections of G G -functions with the known Legendre, Chebyshev and Gegenbauer polynomials are given. For G G -functions the Rodrigues formula is obtained.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2004-132-04/S0002-9939-03-07281-2/S0002-9939-03-07281-2.pdf

Reference6 articles.

1. Princeton Mathematical Series, No. 32;Stein, Elias M.,1971

2. Polynomial solutions to systems of partial differential equations with constant coefficients;Karachik, Valery V.;Yokohama Math. J.,2000

3. On one set of orthogonal harmonic polynomials;Karachik, V. V.;Proc. Amer. Math. Soc.,1998

4. Maximal orders in rational cyclic algebras of composite degree;Perlis, Sam;Trans. Amer. Math. Soc.,1939

Cited by 18 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Riquier–Neumann Problem for the Polyharmonic Equation in a Ball;Mathematics;2023-02-15

2. Solvability of nonlocal Dirichlet problem for generalized Helmholtz equation in a unit ball;Complex Variables and Elliptic Equations;2022-02-28

3. On Eigenfunctions and Eigenvalues of a Nonlocal Laplace Operator with Multiple Involution;Symmetry;2021-09-25

4. Sufficient Conditions for Solvability of One Class of Neumann-Type Problems for the Polyharmonic Equation;Computational Mathematics and Mathematical Physics;2021-08

5. Green's functions of some boundary value problems for the biharmonic equation;Complex Variables and Elliptic Equations;2021-03-22