# Ramanujan's Master theorem for the hypergeometric Fourier transform on root systems

@article{lafsson2012RamanujansMT, title={Ramanujan's Master theorem for the hypergeometric Fourier transform on root systems}, author={Gestur {\'O}lafsson and Angela Pasquale}, journal={arXiv: Classical Analysis and ODEs}, year={2012} }

Ramanujan's Master theorem states that, under suitable conditions, the Mellin transform of an alternating power series provides an interpolation formula for the coefficients of this series. Ramanujan applied this theorem to compute several definite integrals and power series, which explains why it is referred to as the "Master Theorem". In this paper we prove an analogue of Ramanujan's Master theorem for the hypergeometric Fourier transform on root systems. This theorem generalizes to arbitrary…

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