TY - JOUR
T1 - The New Mittag-Leffler Function and Its Applications
AU - Ayub, U.
AU - Mubeen, S.
AU - Abdeljawad, T.
AU - Rahman, G.
AU - Nisar, Kottakkaran Sooppy
N1 - Publisher Copyright:
© 2020 U. Ayub et al.
PY - 2020
Y1 - 2020
N2 - In this paper, we investigate some properties of the Pochhammer p,s,k-symbol n,k,sp and gamma p,s,k-function Γs,kp. We then prove several identities for newly defined symbol n,k,sp and the function Γs,kp. The integral representations for the gamma p,s,k-function and beta p,s,k-function are presented. Also, we define a new Mittag-Leffler p,s,k-function and study its analytic properties and its transforms.
AB - In this paper, we investigate some properties of the Pochhammer p,s,k-symbol n,k,sp and gamma p,s,k-function Γs,kp. We then prove several identities for newly defined symbol n,k,sp and the function Γs,kp. The integral representations for the gamma p,s,k-function and beta p,s,k-function are presented. Also, we define a new Mittag-Leffler p,s,k-function and study its analytic properties and its transforms.
UR - https://www.scopus.com/pages/publications/85098599275
U2 - 10.1155/2020/2463782
DO - 10.1155/2020/2463782
M3 - Article
AN - SCOPUS:85098599275
SN - 2314-4629
VL - 2020
JO - Journal of Mathematics
JF - Journal of Mathematics
M1 - 2463782
ER -