Results 61 to 70 of about 3,137 (142)
Umbral calculus in positive characteristic
Advances in Applied Mathematics, 2005 An umbral calculus over local fields of positive characteristic is developed on the basis of a relation of binomial type satisfied by the Carlitz polynomials. Orthonormal bases in the space of continuous $\mathbb F_q$-linear functions are constructed.
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Identifying Key Biodiversity Areas Based on Distinct Genetic Diversity
Molecular Ecology Resources, Volume 26, Issue 2, February 2026.ABSTRACT Key Biodiversity Areas (KBAs) are sites that contribute significantly to the global persistence of biodiversity. Distinct genetic diversity has been introduced as one of the metrics to estimate whether a site holds a threshold proportion of a species' global genetic diversity during the KBA identification process.
Sarah Christin Gronefeld +3 more
wiley +1 more source
The theory of the umbral calculus III
Journal of Mathematical Analysis and Applications, 1982 Let P denote the commutative algebra of all polynomials in a single variable x with coefficients in a field K (real or complex) of characteristic zero. Let P * be the vector space of all linear functionals on P and the action of a linear functional L on a polynomial P(x) is denoted by \(\).
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Key drivers of at‐vessel mortality in demersal sharks
Conservation Biology, Volume 40, Issue 1, February 2026.Abstract Chondrichthyans are highly vulnerable to fisheries overexploitation, and postcapture mortality poses a significant threat to most species. Global bycatch mitigation guidelines recommend adopting hierarchical decision‐making approaches tailored to species‐specific vulnerabilities and socioeconomic and regulatory contexts.
David Ruiz‐García +3 more
wiley +1 more source
On a representation of time space-harmonic polynomials via symbolic L\'evy processes [PDF]
, 2013 In this paper, we review the theory of time space-harmonic polynomials developed by using a symbolic device known in the literature as the classical umbral calculus. The advantage of this symbolic tool is twofold. First a moment representation is allowed
Di Nardo, E.
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A Family of Hybrid Functions Generated by the Composition of Bessel and Mittag–Leffler Functions
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we employ a symbolic technique to introduce a new family of Mittag–Leffler–Bessel functions (MLBFs), formed by compositionally combining the classical Bessel functions of the first kind with the three‐parameter Mittag–Leffler function.
Maged G. Bin-Saad +2 more
wiley +1 more source
Some Identities of Fully Degenerate r-Dowling Polynomials Arising from λ-Umbral Calculus
MathematicsThis paper introduces fully Dowling polynomials of the first and second kinds, which are degenerate versions of the ordinary Dowling polynomials. Then, several important identities for these degenerate polynomials are derived.
Xiaoxue Li, Siqi Dong, Yuankui Ma
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The Scientific World Journal, Volume 2026, Issue 1, 2026.This study investigates the ionospheric effects of the annular solar eclipse (20–21 May 2012) and total solar eclipse (21 August 2017) across midlatitude stations, analyzing critical parameters: F2‐layer critical frequency (foF2), peak height (hmF2), and total electron content (TEC).
Manghang Limbu +8 more
wiley +1 more source
A Class of Sheffer Sequences of Some Complex Polynomials and Their Degenerate Types
Mathematics, 2019 We study some properties of Sheffer sequences for some special polynomials with complex Changhee and Daehee polynomials introducing their complex versions of the polynomials and splitting them into real and imaginary parts using trigonometric polynomial ...
Dojin Kim
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On λ-linear functionals arising from p-adic integrals on Z p $\mathbb{Z}_{p}$
Advances in Difference Equations, 2021 The aim of this paper is to determine the λ-linear functionals sending any given polynomial p ( x ) $p(x)$ with coefficients in C p $\mathbb{C}_{p}$ to the p-adic invariant integral of P ( x ) $P(x)$ on Z p $\mathbb{Z}_{p}$ and also to that of P ( x 1 + ⋯
Dae San Kim +4 more
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