Some formulas for the Appell function<i>F</i><sub>1</sub>(<i>a, b, b</i>′;<i>c; w, z</i>)
Yu. A. BrychkovDorodnicyn Computing Center of the Russian Academy of Sciences , Vavilov street 40, Moscow , 119333, V-333 , RussiaNasser SaadDepartment of Mathematics and Statistics , University of Prince Edward Island , Charlottetown , Prince Edward Island , Canada , C1A 4P3
2011en
ABI
Аннотация
Some new relations for the Appell function F 1 (a, b, b′; c; w, z) are obtained including differentiation and integration formulas, integral representations, series and recurrence relations. Some integrals are given which can be expressed in terms of F 1 and confluent Appell functions (Humbert functions) Φ1, Φ2, Φ3.
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