Results 41 to 50 of about 16,079 (204)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12654-12674, September 2025.ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad +1 more
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Mellin-Fourier series and the classical Mellin transform
Computers & Mathematics with Applications, 2000 This is a continuation of the authors' work [J. Fourier Anal. Appl. 3, No. 4, 325-376 (1997; Zbl 0885.44004)]. Starting from the finite Mellin transformation which defines the Mellin-Fourier coefficients, they carry out a direct development of the Mellin-Fourier series, quite independent of the usual Fourier theory.
Butzer, P.L., Jansche, S.
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Space‐Time Smoothness and Parsimony in Covariance Functions
Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 13247-13259, September 2025.ABSTRACT This paper challenges the trade off between computational efficiency and statistical accuracy within the framework of Gaussian space‐time processes. Under such a framework, the space‐time dependence is completely specified through the space‐time covariance function.
Tarik Faouzi +2 more
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, 2018 A new approximation is proposed for the contour of the stationary phase of the Mellin--Barnes integrals in the case of its finite asymptotic behavior as ${\rm Re} z\to -\infty$.
Lashkevich, V. I. +2 more
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Quantifying the Nutritional and Socio‐Ecological Dimensions of Indian Ocean Fisheries
Fish and Fisheries, Volume 26, Issue 5, Page 909-922, September 2025.ABSTRACT Seafood from marine fisheries, such as finfishes and invertebrates, is an important source of nutrients for billions of people globally. Seafood species vary in their micronutrient concentration, their economic value, and their vulnerability to exploitation and climate change. However, fisheries management has rarely considered the nutritional
Vania Andreoli +6 more
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Correlations of the squares of the Riemann zeta function on the critical line
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract We compute the average of a product of two shifted squares of the Riemann zeta function on the critical line with shifts up to size T3/2−ε$T^{3/2-\varepsilon }$. We give an explicit expression for such an average and derive an approximate spectral expansion for the error term similar to Motohashi's.
Valeriya Kovaleva
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Asymptotic expansions for the Laplace-Mellin and Riemann-Liouville transforms of Lerch zeta-functions [PDF]
, 2021 Masanori Katsurada
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Triple sums of Kloosterman sums and the discrepancy of modular inverses
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract We investigate the distribution of modular inverses modulo positive integers c$c$ in a large interval. We provide upper and lower bounds for their box, ball, and isotropic discrepancy, thereby exhibiting some deviations from random point sets. The analysis is based, among other things, on a new bound for a triple sum of Kloosterman sums.
Valentin Blomer +2 more
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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.
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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