engleski

On series representations for modified Bessel function of second kind of integer order

The main aim of this paper is to establish two finite sum representation formulae for the modified Bessel function of the second kind K_n of positive integer order n positive integer: one of them includes among K_0, K_1 the generalized hypergeometric function _1F_2 and the another which includes K_0 and the modified Bessel functions of the first kind I_0 and I_1.

Modified Bessel functions of the first and second kind ; Basset function ; Macdonald function ; Generalized hypergeometric function ; Kamp\'e de F\'eriet function ; Series representation

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