Growth and complete sequences of generalized bi-axially symmetric potentials

DOI10.1016/0022-0396(79)90141-4zbMath0368.35035OpenAlexW2019719952MaRDI QIDQ1243043

Allan J. Fryant

Publication date: 1979

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(79)90141-4

zbMATH Keywords

GROWTH OF ENTIRE SYMMETRLAPLACE TYPE INTEGRAL FOR JACOBI POLYNOMIALS

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (12)

Fundamental solutions for a class of three-dimensional elliptic equations with singular coefficients ⋮ ON AN ANALOGUE OF THE HOLMGREN'S PROBLEM FOR 3D SINGULAR ELLIPTIC EQUATION ⋮ On the generalized growth and approximation of entire solutions of certain elliptic partial differential equation ⋮ Fundamental solutions of the generalized axially symmetric Helmholtz equation ⋮ Fundamental solution of multidimensional axisymmetric Helmholtz equation ⋮ Linear independent solutions and operational representations for hypergeometric functions of four variables ⋮ Fundamental solutions of generalized bi-axially symmetric Helmholtz equation ⋮ On a boundary problem with Neumann's condition for 3D singular elliptic equations ⋮ Double-layer potentials for a generalized bi-axially symmetric Helmholtz equation II ⋮ A solution of the Neumann–Dirichlet boundary value problem for generalized bi-axially symmetric Helmholtz equation ⋮ Fundamental solutions for a class of four-dimensional degenerate elliptic equation ⋮ Fundamental Solutions for a Class of Multidimensional Elliptic Equations with Several Singular Coefficients

Cites Work

• Solutions of certain hyperbolic and elliptic problems in terms of series involving Jacobi polynomials and Bessel functions
• Growth and complete sequences of generalized axisymmetric potentials
• Expansions of solutions of certain hyperbolic and elliptic problems in terms of Jacobis polynomials
• Jacobi Polynomials, II. An Analytic Proof of the Product Formula
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