# zbMATH — the first resource for mathematics

On the generalized Wright function. (English) Zbl 1027.33015
Summary: The paper is devoted to the study of the generalized Wright function. Conditions for the existence of $${_p\Psi_q}(z)$$ are proved. The representation of the function in terms of the Mellin-Barnes integral and of the $$H$$-function are etablished. Special cases, involving the Mittag-Leffler function and its generalizations, are considered. The obtained results imply more precisely the known results.

##### MSC:
 33E12 Mittag-Leffler functions and generalizations 33C60 Hypergeometric integrals and functions defined by them ($$E$$, $$G$$, $$H$$ and $$I$$ functions)