ON THE NEW k-BIVARIATE MITTAG-LEFFLER FUNCTION

被引:0
|
作者
Jafari, Hossein [1 ,2 ,3 ,4 ]
Meddahi, Meryem [5 ]
Golanbar, Javad ebadpour [6 ]
Nguyen, Van thinh [7 ]
机构
[1] Duy Tan Univ, Inst Res & Dev, Da Nang, Vietnam
[2] Duy Tan Univ, Sch Engn & Technol, Da Nang, Vietnam
[3] Univ South Africa, Dept Math Sci, UNISA0003, Pretoria, South Africa
[4] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
[5] Univ Hassiba Ben Bouali, Fac Technol, Chlef, Algeria
[6] Payame Noor Univ Tehran, Dept Sci, Tehran, Iran
[7] Seoul Natl Univ, Dept Civil & Environm Engn, Seoul, South Korea
关键词
Bivariate Mittag-Leffler Function; Special Functions; Integral Representaions; Recurrence Relations; Fractional Calculus; General Transform; GAMMA-FUNCTION;
D O I
10.1142/S0218348X25401206
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
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页数:17
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