On the solving of one type of problems of mathematical physics

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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Veröffentlicht in:IOP conference series. Materials Science and Engineering 2016-11, Vol.158 (1), p.12023
Hauptverfasser: Chebakova, V J, Gerasimov, A V, Kirpichnikov, A P
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Sprache:eng
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Bessel functions
Differential equations
Hypergeometric functions
Independent variables
Mathematical analysis
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container_title IOP conference series. Materials Science and Engineering
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creator Chebakova, V J
Gerasimov, A V
Kirpichnikov, A P
description 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.
doi_str_mv 10.1088/1757-899X/158/1/012023
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subjects Bessel functions
Differential equations
Hypergeometric functions
Independent variables
Mathematical analysis
title On the solving of one type of problems of mathematical physics
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