Derivatives with respect to the order of the Bessel function of the first kind

2014/01/20 by J. Sesma, Sesma, J.
Mathematics · #33C10 (Primary) 33B15 #33F05 (Secondary) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:33B15 #msc:33C10 #msc:33F05

paper · pdf · doi:10.48550/arxiv.1401.4850

9 pages

arxiv created 2014/01/20 · arxiv updated 2014/01/21

Abstract

An explicit expression of the k-th derivative of the Bessel function J_ν(z), with respect to its order ν, is given. Particularizations for the cases of positive or negative ν are considered.

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