ON THE NEW k-BIVARIATE MITTAG-LEFFLER FUNCTION

Hossein Jafari, Meryem Meddahi, Javad Ebadpour Golanbar and Nguyen van Thinh
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Hossein Jafari: Institute of Research and Development, Duy Tan University, Da Nang, Vietnam†School of Engineering & Technology, Duy Tan University, Da Nang, Vietnam‡Department of Mathematical Sciences, University of South Africa, UNISA0003, South Africa§Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 110112, Taiwan
Meryem Meddahi: �Faculty of Technology, University of Hassiba Ben Bouali, Chlef, Algeria
Javad Ebadpour Golanbar: ��Department of Science, Payame Noor University, Tehran, Iran
Nguyen van Thinh: *Department of Civil and Environmental Engineering, Seoul National University, Seoul, South Korea

FRACTALS (fractals), 2025, vol. 33, issue 06, 1-17

Abstract: A new analog formula of the bivariate Mittag-Leffler function is presented in this work. We prove some relationships with known special functions, integral representations and recurrence relations. Also, we study some further interesting properties of the given function including the general transform and fractional calculus. Finally, a new integral operator is investigated.

Keywords: Bivariate Mittag-Leffler Function; Special Functions; Integral Representaions; Recurrence Relations; Fractional Calculus; General Transform (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25401206

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