On one generalization of Bessel function

In this paper the generalized Bessel function $J_{\mu ,\omega } ( x )$ is introduced. The function $J_{\mu ,\omega } ( x )$ is given as one solution of the following differential equation: $$ x^2{y}''+x{y}'+\left( {x-\mu ^2} \right)\left( {x+\omega ^2} \right)y=0, \quad \mu , \omega \...

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Bibliographic Details
Main Authors: Nina A Virchenko, Maria O Chetvertak
Format: Article
Language:English
Published: Samara State Technical University 2014-12-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
Online Access:https://journals.eco-vector.com/1991-8615/article/viewFile/20734/16994