Some properties of Wright-type generalized hypergeometric function via fractional calculus

Advances in Difference Equations

Ajay K Shukla²  Snehal B Rao³  Jyotindra C Prajapati⁴  Amitkumar D Patel⁵ 

[1] Humanities, S. V. National Institute of Technology, Surat, India;Department of Applied Mathematics &Department of Applied Mathematics, The M.S. University of Baroda, Vadodara, India;Department of Mathematical Sciences, Faculty of Applied Sciences, Charotar University of Science and Technology, Anand, India;Department of Mathematics, Shroff S.R. Rotary Institute of Chemical Technology, Vataria, India

关键词: fractional integral and differential operators;    generalized hypergeometric function;    Lebesgue measurable functions;   

DOI  :  10.1186/1687-1847-2014-119

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is devoted to the study of a Wright-type hypergeometric function (Virchenko, Kalla and Al-Zamel in Integral Transforms Spec. Funct. 12(1):89-100, 2001) by using a Riemann-Liouville type fractional integral, a differential operator and Lebesgue measurable real or complex-valued functions. The results obtained are useful in the theory of special functions where the Wright function occurs naturally. MSC: 33C20, 33E20, 26A33, 26A99.

【 授权许可】

CC BY