Generalized multivariable Cauchy residue theorem and non-zero zeros of multivariable and multiparameters generalized Mittag-Leffler functions. (English) Zbl 1449.33020
Summary: The frequent requirements of Cauchy residue theorem in the analysis of many problems of mathematics and mathematical physics have inspired the present paper and the authors prove here the generalized multivariable Cauchy residue theorem. Then we make use of this theorem to derive Weierstrass type product formula for distribution of non-zero zeros of multivariable and multi-parameters generalized Mittag-Leffler functions.
MSC:
33E12 | Mittag-Leffler functions and generalizations |
33E30 | Other functions coming from differential, difference and integral equations |