A new family of functional series relations involving digamma functions (Q677877)

This paper is devoted to obtain a new family of functional series relations involving the digamma functions. The approach of derivations is based upon series rearrangement methods. Due to the generality of the functional series relations involving arbitrary coefficients \(A(r)\), several known and new series summations involving digamma functions are derived. A summation formula involving the well-known H-function has also been established by applying the main result.