Distributional solutions of the hypergeometric differential equation

DOI10.1016/0022-247X(87)90263-0zbMath0629.34006OpenAlexW2028917670WikidataQ115364540 ScholiaQ115364540MaRDI QIDQ1093783

Lance L. Littlejohn, Ram P. Kanwal

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(87)90263-0

zbMATH Keywords

hypergeometric equationconfluent hypergeometric differential equation

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30)

Related Items (13)

The generalized solutions of a certainnorder differential equations with polynomial coefficients ⋮ On the classification of differential equations having orthogonal polynomial solutions. II ⋮ Coexistence of analytic and distributional solutions for linear differential equations. I ⋮ The two-sided laplace transform for boehmians ⋮ The distributional solutions of Kummer's differential equation ⋮ On the generalized solutions of a certain fourth order Euler equations ⋮ The asymptotic expansion of certain multi-dimensional generalized functions ⋮ Vector moment problems for rapidly decreasing smooth functions of several variables ⋮ Delta series solutions of differential and integral equations ⋮ Asymptotic expansion of thick distributions ⋮ A multiplicative product of distributions and a class of ordinary differential equations with distributional coefficients ⋮ The generalized solutions of a certain nth order Cauchy–Euler equation ⋮ Coexistence of analytic and distributional solutions for linear differential equations. II

Cites Work

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• Distributional and entire solutions of ordinary differential and functional differential equations
• On the classification of differential equations having orthogonal polynomial solutions
• Generalized-function solutions of differential and functional differential equations
• Orthogonal polynomials satisfying fourth order differential equations
• Distributional Weight Functions for Orthogonal Polynomials

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