Certain fractional integral operators and the generalized multi-index Mittag-Leffler functions

Proceedings Mathematical Sciences

Praveen Agarwal²  Sergei V Rogosin¹  Juan J Trujillo³ 

[1] Department of Economics, Belarusian State University, 000 Minsk, Belarus$$;Department of Mathematics, Anand International College of Engineering, Jaipur 0 0, India$$;Department de Analisis Matemático, Universidad de La Laguna, C/Astr. Fco. Sánchez s/n, La Laguna Tenerife, Spain$$

关键词: Marichev–Saigo–Maeda fractional integral operators;    generalized multiindex Mittag-Leffler functions;    Appell functions;    generalized Wright function.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, we obtain formulas of fractional integration (of Marichev–Saigo–Maeda type) of the generalized multi-index Mittag-Leffler functions 𝐸𝛾,𝜅[(𝛼𝑗, 𝛽𝑗)𝑚; 𝑧] generalizing 2𝑚-parametric Mittag-Leffler functions studied by Saxena and Nishimoto (J. Fract. Calc. 37 (2010) 43–52). Some interesting special cases of our main results are considered too.

【 授权许可】

Unknown