Transmutations that introduce group operators

DOI10.1016/0022-0396(84)90027-5zbMath0491.35009OpenAlexW2069760834MaRDI QIDQ1167336

Louis R. Bragg

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0022-0396(84)90027-5

zbMATH Keywords

gamma functionhypergeometric equationtransmutationgeneralized Euler-Poisson-Darboux equationgroup of operatorsgeneralized axially symmetric potential theorygenerator of a continuous grouppolynomial and fundamental solutions

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Groups and semigroups of linear operators (47D03) Geometric theory, characteristics, transformations in context of PDEs (35A30) Euler-Poisson-Darboux equations (35Q05)

Related Items (1)

Derivative-type ascent formulas for kernels of some half-space Dirichlet problems

Cites Work

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• On operator calculus for related partial differential equations
• Explicit solution of a class of higher-order abstract Cauchy problems
• Transmutation and separation of variables
• Linear Evolution Equations that Involve Products of Commutative Operators
• Related Partial Differential Equations and their Applications
• A Class of Related Dirichlet and Initial Value Problems
• Hypergeometric Operator Series and Related Partial Differential Equations
• A Singular Abstract Cauchy Problem
• Theory of Random Evolutions with Applications to Partial Differential Equations
• A Symbolic Form of the Classical Complex Inversion Formula for a Laplace Transform

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