Results 51 to 60 of about 574 (133)
Distribution of integer points on determinant surfaces and a mod‐p analogue
Mathematika, Volume 72, Issue 2, April 2026.Abstract We establish an asymptotic formula for counting integer solutions with smooth weights to an equation of the form xy−zw=r$xy-zw=r$, where r$r$ is a non‐zero integer, with an explicit main term and a strong bound on the error term in terms of the size of the variables x,y,z,w$x, y, z, w$ as well as of r$r$.
Satadal Ganguly, Rachita Guria
wiley +1 more source
Asymptotics of integrodifferential models with integrable kernels II
International Journal of Mathematics and Mathematical Sciences, 2003 Nonlinear singularly perturbed Volterra integrodifferential equations with weakly singular kernels are investigated using singular perturbation methods, the Mellin transform technique, and the theory of fractional integration.
Angelina M. Bijura
doaj +1 more source
FRACTIONAL CALCULUS AND LAMBERT FUNCTION I. LIOUVILLE–WEYL FRACTIONAL INTEGRAL
Acta Polytechnica, 2014 The interconnection between the Liouville–Weyl fractional integral and the Lambert function is studied. The class of modified Abel equations of the first kind is solved.
Vladimír Vojta
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Joint distribution of Hecke eigenforms on H3$ \mathbb {H}^3$
Mathematische Nachrichten, Volume 299, Issue 3, Page 661-674, March 2026.Abstract We prove a joint value equidistribution statement for Hecke–Maaß cusp forms on the hyperbolic three‐space H3$\mathbb {H}^3$. This supports the conjectural statistical independence of orthogonal cusp forms.
Didier Lesesvre +2 more
wiley +1 more source
Marine Heatwaves, Ocean Warming and Acidification Reshape Reef Fish Gut Microbiomes
Molecular Ecology, Volume 35, Issue 5, March 2026.ABSTRACT Extreme climatic events and gradual climate change are increasingly anticipated to interact and reshape ecological communities. However, the combined effects of ocean warming, acidification and marine heatwaves on host‐associated microbial communities and their potential role in host adaptation remain poorly understood.
Angus Mitchell +9 more
wiley +1 more source
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
Exchange Formulae for the Stieltjes–Poisson Transform over Weighted Lebesgue Spaces
AxiomsThis paper aims to develop exchange formulae for the Stieltjes–Poisson transform by using Mellin-type convolutions in the context of weighted Lebesgue spaces. A key result is the introduction of bilinear and continuous Mellin-type convolutions, expanding
Hari M. Srivastava +2 more
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