engleski

Integral and computational representation of summation which extends a Ramanujan's sum

A generalized sum, which contains Ramanujan's summation formula recorded in Hardy's article [1] as a special case, has been represented in the form of Mellin-Barnes type contour integral. Computational representation formula is derived for this summation in terms of the unified Hurwitz-Lerch Zeta function.

Ramanujan's summation formula ; Generalized hypergeometric functions ${; ; ; ; }; ; ; ; _pF_q$ ; Mellin-Barnes type path integral ; Hurwitz-Lerch Zeta function ; Computational representation.

nije evidentirano