Michael Milgram

collaborators

3 papers

math.CA2026

Five Parameter Hypergeometric 3F2(1) when One or more Parameters are Integers or Separated by Integers: Derivations, Review, Exotics and More

Michael Milgram

This work was intended to be all about, and only about, hypergeometric 3F2(1). The initial goal was to revisit many identities from the literature that have been derived over the y…

math.CA2024

On the Use of the Mellin Transform to Generate Families of Power, Hyperpower, Lambert and Dirichlet Type Series and Some Consequences

Larry Glasser, Michael Milgram

This note is concerned with series of the forms $\sum f (a^{n})$ and $\sum f (n^{- a})$ where f(a) possesses a Mellin transform and $a > 1$ or $a < 0$ respectively. Integral representatio…

math.NT2024

On a Generalized Moment Integral containing Riemann's Zeta Function: Analysis and Experiment

Michael Milgram, Roy Hughes

Here, we study both analytically and numerically, an integral $Z (I ¨ , r)$ related to the mean value of a generalized moment of Riemann's zeta function. Analytically, we predict finit…