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THE EXTENDED k-MITTAG-LEFFLER FUNCTION AND ITS PROPERTIES

김태균|G. Rahman|K.S. NISAR|S. MUBEEN|M. ARSHAD
장전수학회 (Jangjeon Mathematical Society)|2018.07|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제21권 제3호|pp. 487-496|DOI 10.17777/pjms.2018.21.3.013

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참고문헌

키워드

Mittag-Leffler functionk-Mittag-Leffler functionk-extended beta functionMellin transformfractional derivativek-fractional derivativek-Wright function
주제분류수학

초록

In this present paper, our aim is to derive the extended k- Mittag-Leffler function by using the extended k-beta function (Mubeen et al. in J. math. anal. Volume 7 Issue 5(2016), 118-131.) and de- ne some integral representation this newly de ned function. Also, we introduce the extended k-fractional derivative formula and show that the extended k-fractional derivative k-fractional of the k-Mittag-Leffler gives the extended k-Mittag-Leffler function.

Abstract

In this present paper, our aim is to derive the extended k- Mittag-Leffler function by using the extended k-beta function (Mubeen et al. in J. math. anal. Volume 7 Issue 5(2016), 118-131.) and de- ne some integral representation this newly de ned function. Also, we introduce the extended k-fractional derivative formula and show that the extended k-fractional derivative k-fractional of the k-Mittag-Leffler gives the extended k-Mittag-Leffler function.

참고문헌 (22)

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