On the solving of one type of problems of mathematical physics

A relationship between generalized hypergeometric functions of a special type and modified Bessel functions has been established. Using this relationship the solution of inhomogeneous differential equations of Bessel type containing even degrees of an independent variable in the right-hand part can...

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Bibliographic Details
Published in:IOP conference series. Materials Science and Engineering 2016-11, Vol.158 (1), p.12023
Main Authors: Chebakova, V J, Gerasimov, A V, Kirpichnikov, A P
Format: Article
Language:English
Subjects:
Bessel functions
Differential equations
Hypergeometric functions
Independent variables
Mathematical analysis
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Summary:A relationship between generalized hypergeometric functions of a special type and modified Bessel functions has been established. Using this relationship the solution of inhomogeneous differential equations of Bessel type containing even degrees of an independent variable in the right-hand part can be expressed in a form convenient for engineering and technical applications.
ISSN:1757-8981
1757-899X
DOI:10.1088/1757-899X/158/1/012023