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ON A MULTIVARIABLE CLASS OF MITTAG-LEFFLER TYPE FUNCTIONS
Author(s) -
Rakesh K. Parmar,
Min-Jie Luo,
Ravinder Krishna Raina
Publication year - 2016
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/2016064
Subject(s) - multivariable calculus , mathematics , class (philosophy) , type (biology) , convergence (economics) , pure mathematics , mittag leffler function , fractional calculus , calculus (dental) , computer science , medicine , ecology , control engineering , artificial intelligence , engineering , biology , dentistry , economics , economic growth
The present paper studies and investigates a class of Mittag-Leffler type multivariable functions. We derive the necessary convergence conditions and establish several properties associated with this class and those related with the corresponding class of fractional integral operators. New extensions of the introduced definitions and special cases of some of the results are also pointed out.

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