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Brychkov, Yu. A.; Kim, Yong Sup; Rathie, Arjun K.

On new reduction formulas for the Humbert functions \(\Psi_2\), \(\Phi_2\) and \(\Phi_3\). (English) Zbl 1367.33015

Integral Transforms Spec. Funct. 28, No. 5, 350-360 (2017).
The authors derive several new reduction formulae for the Humbert functions, also known as the confluent Appell functions, \(\Phi_2\), \(\Phi_3\), and \(\Psi_2\).
Reviewer: Peter Massopust (München)

Cited in 11 Documents

MSC:

33C65 Appell, Horn and Lauricella functions
33C70 Other hypergeometric functions and integrals in several variables

Keywords:

Humbert function; Appell function; hypergeometric function; reduction formulae
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References:

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