Browsing by Author "kebede Basazenew"

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    On Bessel Functions and the Modified Bessel Functions and its Properties
    (Addis Ababa University, 2018-08-03) kebede Basazenew; Abdi Tadesse (PhD)
    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)௠ݔଶ௠ା௡2ଶ௠ା௡݉!(݊+݉)!ஶ௠ୀ଴and the modified Bessel function ܫ௩(ݔ)=෍ቀ௫ଶቁଶ௠ା௩݉!߁(݉+ݒ+1)ஶ௠ୀ଴and the pertinent properties