All hypergeometric-class special functions are shown to be governed by one Casimir operator in Miller's Lie algebra, giving unified derivations of their recurrences, symmetries, series, integrals, and polynomial orthogonality.
and Ruba,B.: Generalized integrals of Macdonald and Gegenbauer functions, in ``Applications and q -Extensions of Hypergeometric Functions'', Contemporary Mathematics, vol
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A unified approach to hypergeometric class functions
All hypergeometric-class special functions are shown to be governed by one Casimir operator in Miller's Lie algebra, giving unified derivations of their recurrences, symmetries, series, integrals, and polynomial orthogonality.