Some infinite series and functional relations that arose in the context of fractional calculus
The authors in search of new generalizations of various functional series relations present in this paper four theorems which give series relations involving an arbitrary bounded sequence, gamma and digamma functions, and an arbitrary discrete-valued function. The derivation of the results is direct and uses known summation formulas. Functional relations involving the \(H\)-functions are also derived. Several special cases of the main results are pointed out, particularly, corrections in some earlier known results are also specifically mentioned.
scientific article; zbMATH DE number 1563466
scientific article