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1. The transcendent is En.m (z ) ═ ∑∞ r = 0(−)r z n+rm /2n+rm (r !)m -1(n+r )! wherein, for the moment, we taken, m to be integers. This becomes a Bessel coefficient whenm 2. En .2(z ) ═ Jn (z ).

On a class of transcendents of which the bessel functions are a particular case