Results 51 to 60 of about 159,564 (166)

On Umbral Calculus I

open access: yesJournal of Mathematical Analysis and Applications, 2000
The author establishes some weaker characteristic conditions of the operator \(t_c\) and investigates invariant operators. It is shown that if an operator \(T\) can commute with one of the operators \(\sigma_p\) (\(p\neq 0\) and a root of unity), then \(T\) is an invariant operator.
openaire   +2 more sources

Some identities of Lah–Bell polynomials

open access: yesAdvances in Difference Equations, 2020
Recently, the nth Lah–Bell number was defined as the number of ways a set of n elements can be partitioned into nonempty linearly ordered subsets for any nonnegative integer n.
Yuankui Ma   +4 more
doaj   +1 more source

A q-umbral calculus

open access: yesJournal of Mathematical Analysis and Applications, 1981
AbstractAn algebraic setting for the Roman-Rota umbral calculus is introduced. It is shown how many of the umbral calculus results follow simply by introducing a comultiplication map and requiring it to be an algebra map. The same approach is used to construct a q-umbral calculus.
Ihrig, Edwin C, Ismail, Mourad E.H
openaire   +1 more source

Umbral calculus in positive characteristic

open access: yesAdvances 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.
openaire   +2 more sources

When is the bait worth the risk? A mechanistic model of a compensatory ecological trap in seabirds

open access: yesFunctional Ecology, EarlyView.
Read the free Plain Language Summary for this article on the Journal blog. Abstract Ecological traps occur when organisms preferentially select habitats that reduce fitness. In seabird–fishery systems, fishery‐derived trophic subsidies can increase foraging success, reinforce habitat preference and indirectly enhance reproductive output or recruitment,
Cristóbal Anguita   +2 more
wiley   +1 more source

From Circular to Bessel Functions: A Transition through the Umbral Method

open access: yesFractal and Fractional, 2017
A common environment in which to place Bessel and circular functions is envisaged. We show, by the use of operational methods, that the Gaussian provides the umbral image of these functions.
Giuseppe Dattoli   +3 more
doaj   +1 more source

Bell-Based Bernoulli Polynomials with Applications

open access: yesAxioms, 2021
In this paper, we consider Bell-based Stirling polynomials of the second kind and derive some useful relations and properties including some summation formulas related to the Bell polynomials and Stirling numbers of the second kind.
Ugur Duran, Serkan Araci, Mehmet Acikgoz
doaj   +1 more source

Assessing and quantifying variations in the functioning of marine food webs across scales

open access: yesConservation Biology, EarlyView.
Abstract The mismatch between the scale of ecological processes and management decisions represents a significant challenge in marine conservation. This misalignment can result in ineffective conservation measures and compromise the sustainability of marine ecosystems.
Izaskun Preciado   +16 more
wiley   +1 more source

Certain Hybrid Matrix Polynomials Related to the Laguerre-Sheffer Family

open access: yesFractal and Fractional, 2022
The main goal of this article is to explore a new type of polynomials, specifically the Gould-Hopper-Laguerre-Sheffer matrix polynomials, through operational techniques.
Tabinda Nahid, Junesang Choi
doaj   +1 more source

Beyond Evidence: How Framing Shapes Public Health Policies During Health Crises

open access: yesPolicy Studies Journal, Volume 54, Issue 4, November 2026.
ABSTRACT Does the level of evidence that accompanies policy action depend on how a problem is framed, and on who frames it? This article examines these questions in the context of health crises. Bridging sociological and equivalence framing theories, it treats frames as preexisting interpretive schemes shared within communities of actors, whose ...
Antoine Claude Lemor, Eric Montpetit
wiley   +1 more source

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