Expansions of _4F_3 when the upper parameters differ by integers

Mathematics – Classical Analysis and ODEs

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Scientific paper

In this article three expansion formulas for a generalized hypergeometric
function $_4F_3$ are derived, when its upper parameters differ by integers.
Though the results are special cases of a general continuation formula for
$_pF_q$, they are sufficiently general and unify a number of known results.

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