271 research outputs found

    A new proof of Watson's theorem for the series 3F2(1)

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    We give a new proof of the classical Watson theorem for the summation of a 3F2 hypergeometric series of unit argument. The proof relies on the two well-known Gauss summation theorems for the 2F1 function

    A derivation of two transformation formulas contiguous to that of Kummer’s second theorem via a differential equation approach

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    The purpose of this note is to provide an alternative proof of two transformation formulas contiguous to that of Kummer’s second transformation for the confluent hypergeometric function 1F1 using a differential equation approach

    Raquel

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    I finally cut off my long red hair. What a problem that was, trailing behind me, dragging on the ground attracting all that attention. Swains swanning all around. Rapunzel, I love you, Rapunzel be mine, Rapunzel let me wrap myself in your hair!~ excerpt from the poe
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