2 papers
math.NT2024
Expansion formulas for elliptic hypergeometric series
Gaurav Bhatnagar, Archna Kumari
We provide an alternate approach to obtaining expansion formulas on the lines of the well-poised Bailey lemma. We recover results due to Spiridonov and Warnaar and one new formula…
math.NT2023
An esoteric identity with many parameters and other elliptic extensions of elementary identities
Gaurav Bhatnagar, Archna Kumari, Michael J. Schlosser
We provide elliptic extensions of elementary identities such as the sum of the first odd or even numbers, the geometric sum and the sum of the first cubes. Many such identi…