4 citations · 28 across the 48 of their papers we have counts for
6 papers · 2 filters
On some Integrals associated with the Riesz function
Alexander E Patkowski
We explore some integrals associated with the Riesz function and establish relations to other functions from number theory that have appeared in the literature. We also comment on…
On some instances of Fox's Integral Equation
Alexander E. Patkowski
We consider some applications of the non-homogeneous second order integral equation of Fox. Some new solutions to Fox's integral equation are discussed in relation to number theory…
Some Remarks on Glaisher-Ramanujan Type Integrals
Alexander E. Patkowski
Some integrals of the Glaisher-Ramanujan type are established in a more general form than in previous studies. As an application we prove some Ramanujan-type series identities, as…
A note on Some Partitions Related to Ternary Quadratic Forms
Alexander E. Patkowski
We offer some partition functions related to ternary quadratic forms, and note on their upper bounds and related properties. We offer these results as an application of a simple me…
On Some Families of Integrals Connected to the Hurwitz Zeta Function
Alexander E Patkowski
Expressions for a family of integrals involving the Hurwitz zeta function are established using standard properties of the Fourier transform.
On some new Bailey pairs and new expansions for some Mock theta functions
Alexander E Patkowski
In this paper we offer some new identities associated with mock theta functions and establish new Bailey pairs related to indefinite quadratic forms. We believe our proof is instru…