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Article

On some formulas for the Appell function F4(a,b;c,c′;w,z)

Yu. A. BrychkovDorodnicyn Computing Centre, Federal Research Centre ‘Computer Science and Control’ of the Russian Academy of Sciences, Moscow, RussiaNasser SaadDepartment of Mathematics and Statistics, University of Prince Edward Island, Charlottetown, Canada
2017en
ABI

Abstract

New relations for the Appell function F4(a,b;c,c′;w,z) are obtained including differentiation and integration formulas, finite and infinite series, and functional relations. Some reduction and transformation formulas are also presented.

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