Oscillatory integrals for Mittag-Leffler functions with two variables
Isroil A. Ikromov, Michael Ruzhansky, Akbar R. Safarov
TL;DR
This paper investigates the estimation of oscillatory integrals involving Mittag-Leffler functions in two variables, extending classical exponential-based integrals to a more general Mittag-Leffler framework.
Contribution
It introduces a novel approach to estimate oscillatory integrals with Mittag-Leffler functions in two variables, broadening the scope of oscillatory integral analysis.
Findings
Derived new bounds for oscillatory integrals with Mittag-Leffler functions
Extended classical oscillatory integral techniques to Mittag-Leffler functions
Provided analytical tools for two-variable Mittag-Leffler oscillatory integrals
Abstract
In this paper we consider the problem of estimation of oscillatory integrals with Mittag-Leffler functions in two variables. The generalisation is that we replace the exponential function with the Mittag-Leffler-type function, to study oscillatory type integrals.
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Taxonomy
TopicsMathematical functions and polynomials · Numerical methods in inverse problems · Differential Equations and Boundary Problems