4 citations · 28 across the 48 of their papers we have counts for
5 papers · 1 filter
More on some Mock theta Double sums
Alexander E Patkowski
We offer some further applications of some Bailey pairs related to some mock theta functions which were established in a recent study. We discuss and offer some double-sum -seri…
A note on some applications of the extension of Abel's lemma
Alexander E Patkowski
We offer some new applications of an extension of Abel's lemma, as well as its more general form established by Andrews and Freitas. A nice connection is established between this l…
More on some non-gaussian wave packets
Alexander E Patkowski
We expand on a previous study, offering a generalized wave function associated with the parabolic cylinder function and a connection with a two-particle position-space wave functio…
On integrals associated with the Free particle wave packet
Alexander E Patkowski
We discuss some properties of integrals associated with the free particle wave packet, which are solutions to the time-dependent Schrdinger equation for a free…
On a symmetric -series identity
Alexander E Patkowski
We prove an interesting symmetric -series identity which generalizes a result due to Ramanujan. A proof that is analytic in nature is offered, and a bijective-type proof is also…