Generalizations of Ramanujan's reciprocity formula and the Askey-Wilson integral
Classical Analysis and ODEs
2013-06-12 v1
Abstract
By using two known transformation formulas for basic hypergeometric series, we establish a direct extension of Bailey's -series identity. Subsequently, it and Milne's identity are employed to drive multi-variable generalizations of Ramanujan's reciprocity formula. Then we utilize also Milne's identity to deduce a multi-variable generalization of the Askey-Wilson integral.
Keywords
Cite
@article{arxiv.1306.2596,
title = {Generalizations of Ramanujan's reciprocity formula and the Askey-Wilson integral},
author = {Chuanan Wei and Xiaoxia Wang and Qinglun Yan},
journal= {arXiv preprint arXiv:1306.2596},
year = {2013}
}