Results 61 to 70 of about 813 (211)
International Journal of Mathematics and Mathematical Sciences, 2014 By using the polylogarithm function, a new integral operator is introduced. Strong differential subordination and superordination properties are determined for some families of univalent functions in the open unit disk which are associated with new ...
K. AL-Shaqsi
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Trait diversity in plant communities maintained by competition for water and light
Ecological Monographs, Volume 95, Issue 1, February 2025.Abstract Ecological communities frequently exhibit remarkable taxonomic and trait diversity, and this diversity is consistently shown to regulate ecosystem function and resilience. However, ecologists lack a synthetic theory for how this diversity is maintained when species compete for limited resources, hampering our ability to project the future of ...
Jacob I. Levine +2 more
wiley +1 more source
Binomial Series Involving Harmonic-like Numbers
AxiomsBy computing definite integrals, we shall examine binomial series of convergence rate ±1/2 and weighted by harmonic-like numbers. Several closed formulae in terms of the Riemann and Hurwitz zeta functions as well as logarithm and polylogarithm functions ...
Chunli Li, Wenchang Chu
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Introducing the Polylogarithmic Hardy Space [PDF]
Integral Equations and Operator Theory, 2015 15 ...
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Cluster polylogarithms for scattering amplitudes [PDF]
Journal of Physics A: Mathematical and Theoretical, 2014 Motivated by the cluster structure of two-loop scattering amplitudes in N=4 Yang-Mills theory we define "cluster polylogarithm functions". We find that all such functions of weight 4 are made up of a single simple building block associated to the A_2 cluster algebra.
Golden, John +3 more
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The k‐Augmented Pascal Matrix and Its Properties
Journal of Mathematics, Volume 2025, Issue 1, 2025.We define the k‐augmented Pascal matrix and present both a generalization and an alternative version of this matrix. We derive some properties of the defined matrices and establish a connection with generalized Stirling numbers and second‐order Eulerian numbers. Additionally, we provide a factorization of the k‐augmented Pascal matrix, highlighting its
Gonca Kizilaslan +2 more
wiley +1 more source
Some identities and reciprocity relationsof unipoly-Dedekind type DC sums
Journal of Inequalities and Applications, 2021 Dedekind type DC sums and their generalizations are defined in terms of Euler functions and their generalization. Recently, Ma et al. (Adv. Differ. Equ. 2021:30 2021) introduced the poly-Dedekind type DC sums by replacing the Euler function appearing in ...
Hye Kyung Kim, Dae Sik Lee
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Numerical evaluation of harmonic polylogarithms [PDF]
Computer Physics Communications, 2001 16 pages, LaTeX, minor changes, to appear in Comp.
Gehrmann, T., Remiddi, E.
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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
wiley +1 more source
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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