On the Fundamental Solution of a -Hyperbolic Operator with a Bessel Operator in Time

A -hyperbolic equation with a Bessel operator in time and with an operator in space is considered. The operator includes singular differential Bessel operators with non-negative parameters and derivatives of these operators. The found fundamental solution is expressed in terms of the Bessel function...

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Bibliographic Details
Published inLobachevskii journal of mathematics Vol. 44; no. 8; pp. 3467 - 3477
Main Authors Lyakhov, L. N., Roshchupkin, S. A., Yeletskikh, K. S.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 2023
Springer Nature B.V
Subjects
Algebra
Analysis
Bessel functions
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Operators (mathematics)
Probability Theory and Stochastic Processes
Bessel function of the first kind
Bessel operator
hyperbolic equation
fundamental solution
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Summary:A -hyperbolic equation with a Bessel operator in time and with an operator in space is considered. The operator includes singular differential Bessel operators with non-negative parameters and derivatives of these operators. The found fundamental solution is expressed in terms of the Bessel function of the first kind of negative order.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080223080383