The MC-algorithm and continued fraction formulas involving ratios of Gamma functions

Abstract: Ramanujan discovered many continued fraction expansions about ratios of the Gamma functions. However, Ramanujan left us no clues about how he discovered these elegant formulas. In this talk, we will explain the so-called MC-algorithm. By this algorithm, we can not only rediscover many of Ramanujan's continued fraction expansions, but also find some new formulas.

classical analysis and ODEscombinatoricsnumber theory

Audience: researchers in the topic

Special Functions and Number Theory seminar

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