On local solutions of the Ramanujan equation and their connection formulae
Classical Analysis and ODEs
2012-03-16 v1
Abstract
We show connection formulae of local solutions of the Ramanujan equation between the origin and the infinity. These solutions are given by the Ramanujan function, the -Airy function and the divergent basic hypergeometric series . We use two different -Borel-Laplace transformations to obtain our connection formulae.
Keywords
Cite
@article{arxiv.1203.3404,
title = {On local solutions of the Ramanujan equation and their connection formulae},
author = {Takeshi Morita},
journal= {arXiv preprint arXiv:1203.3404},
year = {2012}
}
Comments
arXiv admin note: text overlap with arXiv:1104.0755