On local solutions of the Ramanujan equation and their connection formulae
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 q-Airy function and the divergent basic hypergeometric series 20(0,0;-;q,x). We use two different q-Borel-Laplace transformations to obtain our connection formulae.
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