Open AccessExtended Mittag-Leffler function, series and its sum
Author(s) -
S. Jaraldpushparaj,
G. Britto Antony Xavier
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1597/1/012005
Subject(s) - series (stratigraphy) , mathematics , fractional calculus , mittag leffler function , matlab , operator (biology) , function (biology) , polynomial , order (exchange) , calculus (dental) , algebra over a field , pure mathematics , computer science , mathematical analysis , dentistry , repressor , chemistry , biology , operating system , paleontology , biochemistry , evolutionary biology , transcription factor , medicine , finance , economics , gene
This paper introduces first order extended Mittag-Leffler function by using generalized polynomial factorials. By applying generalized ℓ–difference operator, we obtain a formula for the series having extended Mittag-Leffler functions which has several applications in fractional calculus. Suitable examples and numerical verification by MATLAB are inserted to validate our findings.