Some results about Mittag-Leffler function's integral representations

2019/12/10 by Wu, Yayun, Liu, Zhihua
#Complex Variables (math.CV) #FOS: Mathematics #G.0 #G.1.7

paper · doi:10.48550/arxiv.1912.04777

Abstract

In many articles on the integral expressions of Mittag-Leffler functions, we have found that whether the integral expression can be used at the origin is still unresolved. In this article we give the applicable conditions and proof. And we also generalize some important conclusions about Mittag-Leffler function.

Related

• The calculation of the Mittag-Leffler function
• Singular points of the integral representation of the Mittag-Leffler function
• Euler type integral operator involving k-Mittag-Leffler function
• Integral representations and asymptotic behaviours of Mittag-Leffler type functions of two variables
• Representation of the Mittag-Leffler function through the exponential functions in the case of rational derivatives