On Bessel Functions and the Modified Bessel Functions and its Properties
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Date
2018-08-03
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Addis Ababa University
Abstract
In this paper we study Bessel differential equation of the form ݔଶݕᇱᇱ+ݕݔᇱ+(ݔଶ−ݒଶ)ݕ=0, and the modified Bessel equation of the form ݔଶݕᇱᇱ+ݕݔᇱ−(ݔଶ+ݒଶ)ݕ=0Along with the corresponding Bessel functions ܬ(ݔ) = (−1)ݔଶା2ଶା݉!(݊+݉)!ஶୀand the modified Bessel function ܫ௩(ݔ)=ቀ௫ଶቁଶା௩݉!߁(݉+ݒ+1)ஶୀand the pertinent properties
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Bessel Functions, Modified Bessel, Functions and its Properties