TY - JOUR
T1 - A new generalization of Mittag-Leffler function via q-calculus
AU - Nadeem, Raghib
AU - Usman, Talha
AU - Nisar, Kottakkaran Sooppy
AU - Abdeljawad, Thabet
N1 - Publisher Copyright:
© 2020, The Author(s).
PY - 2020/12
Y1 - 2020/12
N2 - The present paper deals with a new different generalization of the Mittag-Leffler function through q-calculus. We then investigate its remarkable properties like convergence, recurrence relation, integral representation, q-derivative formula, q-Laplace transformation, and image formula under q-derivative operator. In addition to this, we consider some specific cases to give the utilization of our main results.
AB - The present paper deals with a new different generalization of the Mittag-Leffler function through q-calculus. We then investigate its remarkable properties like convergence, recurrence relation, integral representation, q-derivative formula, q-Laplace transformation, and image formula under q-derivative operator. In addition to this, we consider some specific cases to give the utilization of our main results.
KW - Mittag-Leffler function
KW - q-beta functions
KW - q-gamma functions
UR - https://www.scopus.com/pages/publications/85097434680
U2 - 10.1186/s13662-020-03157-z
DO - 10.1186/s13662-020-03157-z
M3 - Article
AN - SCOPUS:85097434680
SN - 1687-1839
VL - 2020
JO - Advances in Difference Equations
JF - Advances in Difference Equations
IS - 1
M1 - 695
ER -