New relations and transformation formulas for the Appell function F2 (a, b, b′; c, c′; w, z) and confluent Appell functions (Humbert functions) Ψ1, Ψ2 are obtained. These relations include limit formulas, integral representations, differentiation and recurrence formulas. Summation formulas for F2, Ψ1, and Ψ2 are derived.
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Brychkov et al. (2013) studied this question.
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