Results 61 to 70 of about 596 (185)
Journal of Function Spaces, Volume 2026, Issue 1, 2026.The objective of this research is to establish an effective methodology for addressing specific linear, nonlinear, singular n + 1‐dimensional fractional pseudo‐hyperbolic equations via the use of the multi‐Sumudu and generalized Laplace transforms combined with the decomposition method.
Hassan Eltayeb +2 more
wiley +1 more source
Mellin Transform of Weierstrass Zeta Function and Integral Representations of Some Lambert Series
MathematicsWe consider a series which combines two Dirichlet series constructed from the coefficients of a Laurent series and derive a general integral representation of the series as a Mellin transform.
Namhoon Kim
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A Family of Hybrid Functions Generated by the Composition of Bessel and Mittag–Leffler Functions
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we employ a symbolic technique to introduce a new family of Mittag–Leffler–Bessel functions (MLBFs), formed by compositionally combining the classical Bessel functions of the first kind with the three‐parameter Mittag–Leffler function.
Maged G. Bin-Saad +2 more
wiley +1 more source
A Study of Fractional Kinetic Equations Incorporating Incomplete R‐Function Kernels
Journal of Mathematics, Volume 2026, Issue 1, 2026.This article introduces a more generalized version of the fractionalized kinetic equation (KE), expressed using the incomplete R‐function. Various special functions—including the incomplete and complete forms of the R‐function and H‐function, as well as the Fox–Wright and Meijer’s G‐functions—are employed to highlight the importance of fractional KEs ...
Priti Purohit +4 more
wiley +1 more source
HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS [PDF]
International Journal of Modern Physics A, 1999 This paper describes algorithms to deal with nested symbolic sums over combinations of harmonic series, binomial coefficients and denominators. In addition it treats Mellin transforms and the inverse Mellin transformation for functions that are encountered in Feynman diagram calculations.
openaire +4 more sources
Certain Properties of Extended Mittag-Leffler-Type Function of Arbitrary Order [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعيةIn this paper, we introduce a new extension of Mittag-Leffler function. We investigate its basic roperties, including recurrence relations, differential formulas, integral representations, aplace transform and Mellin transform.
Maged Bin-Saad, Jihad Younis
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A Mellin Transform Approach to the Pricing of Options with Default Risk. [PDF]
Comput Econ, 2022 Choi SY, Veng S, Kim JH, Yoon JH.
europepmc +1 more source
Barrier Option Under Lévy Model : A PIDE and Mellin Transform Approach
Mathematics, 2016 We propose a stochastic model to develop a partial integro-differential equation (PIDE) for pricing and pricing expression for fixed type single Barrier options based on the Itô-Lévy calculus with the help of Mellin transform.
Sudip Ratan Chandra, Diganta Mukherjee
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The symmetric Mellin transform in quantum calculus
Le Matematiche, 2015 In this paper, we define the q-analogue of Mellin Transform symmetric under interchange of q and 1/q, and present some of its main properties and explore the possibility of using the integral transform to solve a class of differential equations q ...
Brahim Kamel Brahim +2 more
doaj
This work brings Mellin transforms into the realm of motivic integration. The new, larger class of motivic functions is stable under motivic Mellin and Fourier transforms, with general Fubini results and change of variables formulas. It specializes to $p$-adic integrals and $p$-adic Mellin transforms uniformly in $p$, with transfer principles between ...
Cluckers, Raf +3 more
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