Results 81 to 90 of about 562 (207)
Parametric Integrals for Binomial Series with Harmonic Polynomials
AxiomsBinomial series involving harmonic polynomials are expressed in terms of parametric integrals. By evaluating these parametric integrals, we establish several remarkable closed formulae for the infinite series containing both central binomial coefficients
Chunli Li, Wenchang Chu
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Complete Monotonicity of Functions Connected with the Exponential Function and Derivatives
Abstract and Applied Analysis, 2014 Some complete monotonicity results that the functions ±1/e±t-1 are logarithmically completely monotonic, and that differences between consecutive derivatives of these two functions are completely monotonic, and that the ratios between consecutive ...
Chun-Fu Wei, Bai-Ni Guo
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good: An R package for modelling count data
Methods in Ecology and Evolution, Volume 15, Issue 12, Page 2192-2197, December 2024.Abstract Organisms‐related data often appear as counts. The Poisson distribution is the most popular choice for modelling count data, but this distribution assumes equidispersion, which is usually not satisfied in real‐world data. Deviations from the Poisson assumption lead to discrete‐valued distributions that can fit over‐ and/or underdispersion ...
David Agis +4 more
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Asymptotics of parity biases for partitions into distinct parts via Nahm sums
Proceedings of the London Mathematical Society, Volume 129, Issue 6, December 2024.Abstract For a random partition, one of the most basic questions is: what can one expect about the parts that arise? For example, what is the distribution of the parts of random partitions modulo N$N$? As most partitions contain a 1, and indeed many 1s arise as parts of a random partition, it is natural to expect a skew toward 1(modN)$1\ (\mathrm{mod} \
Kathrin Bringmann +3 more
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Stirling numbers and inverse factorial series [PDF]
Contributions to Mathematics, 2023 Khristo N. Boyadzhiev
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Completeness in Polylogarithmic Time and Space
CoRR, 2020 Complexity theory can be viewed as the study of the relationship between computation and applications, understood the former as complexity classes and the latter as problems. Completeness results are clearly central to that view. Many natural algorithms resulting from current applications have polylogarithmic time (PolylogTime) or space complexity ...
Flavio Ferrarotti +3 more
openaire +2 more sources
A discrete mean value of the Riemann zeta function
Mathematika, Volume 70, Issue 4, October 2024.Abstract In this work, we estimate the sum ∑0<ℑ(ρ)⩽Tζ(ρ+α)X(ρ)Y(1−ρ)$$\begin{align*} \sum _{0 < \Im (\rho) \leqslant T} \zeta (\rho +\alpha)X(\rho) Y(1\!-\! \rho) \end{align*}$$over the nontrivial zeros ρ$\rho$ of the Riemann zeta function where α$\alpha$ is a complex number with α≪1/logT$\alpha \ll 1/\log T$ and X(·)$X(\cdot)$ and Y(·)$Y(\cdot)$ are ...
Kübra Benli, Ertan Elma, Nathan Ng
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Weyl groups and elliptic solutions of the WDVV equations [PDF]
, 2010 A functional ansatz is developed which gives certain elliptic solutions of the Witten-Dijkgraaf-Verlinde-Verlinde (or WDVV) equations. This ansatz is based on the elliptic trilogarithm function introduced by Beilinson and Levin. For this to be a solution
Ian A. B. Strachan +2 more
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On the Thomas–Fermi model: Gabor J. Kalman's contribution and numerical approximations
Contributions to Plasma Physics, Volume 64, Issue 6, July 2024.Abstract In this article, we would like to pay tribute to Gabor Kalman, outlining his contribution to a model widely used in dense plasma physics: the high‐temperature Thomas–Fermi model. The approach of Ruoxian Ying and Kalman relies on the separation of the bound and free electrons, a physically reasonable definition of the bound electrons, a ...
Jean‐Christophe Pain
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