Results 81 to 90 of about 2,125,985 (294)
Oikos, Volume 2025, Issue 2, February 2025.Earth's ecological assemblages are rapidly being driven towards unprecedented, novel states. We know little about ecological novelty in our oceans, limiting our ability to detect, contextualise, and manage substantive anthropogenic change. This is especially true for novel states with altered functional compositions.
Emer T. Cunningham +6 more
wiley +1 more source
A two-dimensional limit discrete theorem for Mellin transforms of the Riemann zeta-function
Lietuvos Matematikos Rinkinys, 2007 In the paper two-dimensional limit theorem for the modified Mellin transform of the Riemann zeta-function is obtained.
Violeta Balinskaitė
doaj +1 more source
Micronutrient levels of global tropical reef fish communities differ from fisheries capture
People and Nature, Volume 7, Issue 1, Page 32-51, January 2025.Abstract The exceptional diversity of shallow‐water marine fishes contributes to the nutrition of millions of people worldwide through coastal wild‐capture fisheries, with different species having diverse nutritional profiles. Fishes in ecosystems are reservoirs of micronutrients with benefits to human health.
Conor Waldock +23 more
wiley +1 more source
The n-dimensional distributional Mellin transformation
International Journal of Mathematics and Mathematical Sciences, 1983 The n-dimensional distributional Mellin transformation is developed using the testing function space Mc,d and its dual M′c,d The standard theorems on analyticity, uniqueness and continuity are proved.
Sunil Kumar Sinha
doaj +1 more source
Euler--Mellin integrals and A-hypergeometric functions [PDF]
arXiv, 2011 We consider integrals that generalize both the Mellin transforms of rational functions of the form 1/f and the classical Euler integrals. The domains of integration of our so-called Euler--Mellin integrals are naturally related to the coamoeba of f, and the components of the complement of the closure of the coamoeba give rise to a family of these ...
arxiv
Conformal Structure of Massless Scalar Amplitudes Beyond Tree level [PDF]
, 2017 We show that the one-loop on-shell four-point scattering amplitude of massless $\phi^4$ scalar field theory in 4D Minkowski space time, when Mellin transformed to the Celestial sphere at infinity, transforms covariantly under the global conformal group ($SL(2,C)$) on the sphere.
arxiv +1 more source
New four-dimensional integrals by Mellin-Barnes transform
, 2010 This paper is devoted to the calculation by Mellin-Barnes transform of a especial class of integrals. It contains double integrals in the position space in d = 4-2e dimensions, where e is parameter of dimensional regularization.
Cvetič G. +6 more
core +1 more source
Quadrature formulas for the Laplace and Mellin transforms [PDF]
BIT Numerical Mathematics, 2009 A discrete Laplace transform and its inversion formula are obtained by using a quadrature of the continuous Fourier transform which is given in terms of Hermite polynomials and its zeros. This approach yields a convergent discrete formula for the two-sided Laplace transform if the function to be transformed falls off rapidly to zero and satisfy certain
Rafael G. Campos, Francisco Mejía Díaz
openaire +3 more sources
Some New Application of Extended Wright Function
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.This study introduces a novel extension of the Wright function using the Macdonald function as an extension of the Pochhammer symbol. We establish integral, differential, and generating function formulas for this new function. Furthermore, we apply it to fractional differential equations, providing integral transformations of Cauchy‐type problems with ...
Pallavi Sharma +4 more
wiley +1 more source
A commutation theorem on Mellin transform on sheaves and the functor of solutions [PDF]
arXiv, 2007 We describe the complex of solutions of the algebraic Mellin transform of a $\mathcal{D}$-module $\mathcal{M}$ in terms of the solutions of $\mathcal{M}$. In order to do that, we define a Mellin functor on sheaves. We show the Mellin transform of the complex of rapid decay solutions of a regular holonomic $\mathcal{D}$-module $\mathcal{M}$ is quasi ...
arxiv