5 papers · 1 filter
A Table of Generating Functions
Robert Reynolds
This is a compendium of generating functions involving single, double sums and definite integrals. These generating functions also involve special functions in both the summand fun…
Extended Blumberg-Dieckmann Series
Robert Reynolds
This paper introduces a set of finite summation formulas and utilize them to establish various functional relationships involving the multivariable Hurwitz-Lerch zeta function. Add…
Finite Sums and Products involving Special Functions
Robert Reynolds
Various product and sum relationships are established using special functions, specifically involving Special functions. These relationships are derived from formulas inspired by t…
Double Sum involving Product of Appell-Type Bernoulli and Euler Polynomials
Robert Reynolds
In this work we derive a bilateral generating function involving the product of an Appell-type product of the Bernoulli and Euler polynomials over independent indices and orders. T…
Extended Watson-Harkins Sum
Robert Reynolds
The Watson-Harkins sum involving the product of the cosine and cosecant functions is extended to derive the finite sum of generalized Hurwitz-Lerch Zeta functions is derived in ter…