New approach to generalized Mittag-Leffler function via quantum calculus

Published 15 Jan 2019 in math.CA | (1901.05851v1)

Abstract: We aim to introduce a new extension of Mittag-Leffler function via q-analogue and obtained their significant properties including integral representation, q-differentiation, q-Laplace transform, image formula under q-derivative operators. We also consider some particular cases to give the applications of our main results.

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