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Fractional calculus formulas for Mathieu-type series and generalized Mittag-Leffler function
(JOURNAL MATHEMATICS & COMPUTER SCIENCE-JMCS, 2020)
Fractional calculus is allowing integrals and derivatives of any positive order (the term 'fractional' kept only for historical reasons), which can be considered a branch of mathematical physics which mainly deals with ...
Modified laplace transform and its properties
(International Scientific Research Publications, 2020)
In this paper we propose a new definition of the modified Laplace transform La(f(t)) for a piece-wise continuous function of exponential order which further reduces to simple Laplace transform for a = e where a a ≠ 1 and ...
A new class of Appell-type Changhee-Euler polynomials and related properties
(AMER INST MATHEMATICAL SCIENCES-AIMS, 2021)
A remarkably large number of polynomials and their extensions have been presented and studied. In the present paper, we introduce the new type of generating function of Appelltype Changhee-Euler polynomials by combining ...