7 citations · 7 across the 4 of their papers we have counts for
4 papers
Finding systems of functional equations for Andrews-Gordon type series
Yalçın Can Kılıç, Kağan Kurşungöz
We develop a search algorithm for systems of -difference equations satisfied by Andrews-Gordon type double series. We then couple the search algorithm with Euler's algorithm for…
A Decomposition of Cylindric Partitions and Cylindric Partitions into Distinct Parts
Kağan Kurşungöz, Halime Ömrüuzun Seyrek
We show that cylindric partitions are in one-to-one correspondence with a pair which has an ordinary partition and a colored partition into distinct parts. Then, we show the genera…
Andrews-Gordon Type Series for Capparelli's and Göllnitz-Gordon Identities
Kağan Kurşungöz
We construct Andrews-Gordon type evidently positive series as generating functions for the partitions satisfying the difference conditions imposed by Capparelli's identities and Gö…
Radial Limits of Partial Theta and Similar Series
Kağan Kurşungöz
We study unilateral series in a single variable where its exponent is an unbounded increasing function, and the coefficients are periodic. Such series converge inside the unit…