Results 61 to 70 of about 2,125,985 (294)
The asymptotic expansion of a generalised Mathieu series [PDF]
, 2013 We obtain the asymptotic expansion of a generalised Mathieu series and its alternating variant for large complex values of the variable by means of a Mellin transform approach.
Paris, Richard B.
core +1 more source
An Improved Method to Compute the Inverse Mellin Transform of Holonomic Sequences
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018), 2018 We describe a new method to compute the inverse Mellin transform of holonomic sequences, that is based on a method to compute the Mellin transform of holonomic functions. The method is implemented in the computer algebra package HarmonicSums.
J. Ablinger
semanticscholar +1 more source
Distributional celestial amplitudes
Journal of High Energy PhysicsScattering amplitudes are tempered distributions, which are defined through their action on functions in the Schwartz space S ℝ $$ \mathcal{S}\left(\mathbb{R}\right) $$ by duality.
Majdouline Borji, Yorgo Pano
doaj +1 more source
Variational inequality arising from variable annuity with mean reversion environment
Journal of Inequalities and Applications, 2023 In this paper, we study a variational inequality arising from variable annuity (VA) to find the optimal surrender strategy for a VA investor when the underlying asset follows a mean reverting process.
Junkee Jeon, Geonwoo Kim
doaj +1 more source
A Simple Proof of Siegel's Theorem Using Mellin Transform [PDF]
arXiv, 2022 In this paper, we present a simple analytic proof of Siegel's theorem that concerns the lower bound of $L(1,\chi)$ for primitive quadratic $\chi$. Our new method compares an elementary lower bound with an analytic upper bound obtained by the inverse Mellin transform of $\Gamma(s)$.
arxiv
Mellin Transforms of Multivariate Rational Functions [PDF]
Journal of Geometric Analysis, 2011 This paper deals with Mellin transforms of rational functions $g/f$ in several variables. We prove that the polar set of such a Mellin transform consists of finitely many families of parallel hyperplanes, with all planes in each such family being integral translates of a specific facial hyperplane of the Newton polytope of the denominator $f$.
Mikael Passare, Lisa Nilsson
openaire +3 more sources
A Dark Future of Endangered Mountain Species, Parnassius bremeri, Under Climate Change
Ecology and Evolution, Volume 15, Issue 4, April 2025.We assessed the climate change effects on the distribution of Parnassius bremeri, a critically endangered butterfly species in the Republic of Korea, in relation to food availability (Sedum kamtschaticum and Sedum aizoon), land‐use change, and dispersal limitations. Our findings indicate that climate change is a significant driver of habitat loss for P.
Kyung Ah Koo, Seon Uk Park
wiley +1 more source
Calculation of local formal Mellin transforms [PDF]
Pacific J. Math. 283 (2016) 115-137, 2016 Much recent work has been done on the local Fourier transforms for connections on the punctured formal disk. Specifically, the local Fourier transforms have been introduced, shown to induce certain equivalences of categories, and explicit formulas have been found to calculate them.
arxiv +1 more source
Non-abelian Mellin transformations and applications
Forum of Mathematics, Sigma, 2022 Abstract We study non-abelian versions of the Mellin transformations, originally introduced by Gabber-Loeser on complex affine tori. Our main result is a generalisation to the non-abelian context and with arbitrary coefficients of the t-exactness of Gabber-Loeser’s Mellin transformation.
Yongqiang Liu +2 more
openaire +2 more sources
Environmental Microbiology, Volume 27, Issue 3, March 2025.We examined the effects of symbiont identity and heat stress on the host metabolome and proteome in the cnidarian–dinoflagellate symbiosis. Integrated metabolome and proteome analyses characterised host thermal responses between symbioses, with clear evidence of enhanced nutritional deprivation and cellular stress in hosts harbouring heterologous ...
Bobby Lust +8 more
wiley +1 more source