Exponential generating function of hyperharmonic numbers indexed by arithmetic progressions
Exponential generating function of hyperharmonic numbers indexed by arithmetic progressions
Abstract There is a circle of problems concerning the exponential generating function of harmonic numbers. The main results come from Cvijovic, Dattoli, Gosper and Srivastava. In this paper, we extend some of them. Namely, we give the exponential generating function of hyperharmonic numbers indexed by arithmetic progressions; in the sum …