Abdi Tadesse (PhD)kebede Basazenew2019-10-312023-11-042019-10-312023-11-042018-08-03http://etd.aau.edu.et/handle/123456789/19734In 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 propertiesenBessel FunctionsModified BesselFunctions and its PropertiesThesis