On the solving of one type of problems of mathematical physics

11th International Conference on "Mesh methods for boundary-value problems and applications"

Chebakova, V.J.^1 ; Gerasimov, A.V.^2 ; Kirpichnikov, A.P.^2

Kazan Federal University, Kremlevskay str. 18, Kazan

420008, Russia^1

Kazan National Research Technological University, Karl Marx str. 68, Kazan

420015, Russia^2

关键词: Generalized hypergeometric functions;    Independent variables;    Mathematical physics;    Modified Bessel function;    Technical applications;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/158/1/012023/pdf
DOI  :  10.1088/1757-899X/158/1/012023

来源: IOP

【 摘 要 】

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.