Results 51 to 60 of about 416 (164)
A Family of Generalized Legendre-Based Apostol-Type Polynomials
Numerous polynomials, their extensions, and variations have been thoroughly explored, owing to their potential applications in a wide variety of research fields.
Talha Usman +3 more
doaj +1 more source
Umbral calculus, binomial enumeration and chromatic polynomials [PDF]
We develop the concept of partition categories, in order to extend the Mullin-Rota theory of binomial enumeration, and simultaneously to provide a natural setting for recent applications of the Roman-Rota umbral calculus to computations in algebraic ...
Nigel Ray
core +1 more source
Uncovering correlates of decline and critical refuges for a threatened terrestrial mammal
Abstract Globally, the geographic ranges of numerous species are contracting. Identifying spatiotemporal patterns of threat impact can illuminate why species decline in some parts of their range but persist in others. We developed a correlative approach to identify species’ response thresholds and locate ecological refuge areas associated with ...
Natalya M. Maitz +5 more
wiley +1 more source
Read the free Plain Language Summary for this article on the Journal blog. Abstract Heatwaves are becoming increasingly frequent across the Mediterranean and pose critical challenges for small passerines, yet the physiological and morphological limits to their resilience remain poorly understood.
Erick González‐Medina +6 more
wiley +1 more source
General power umbral calculus in several variables [PDF]
In this paper we give a version of multivariate general power umbral calculus with the starting point based on the theory given by S. Roman and A. Brini.
Ueno, Kazuo
core +1 more source
Some Identities on Degenerate Bernstein and Degenerate Euler Polynomials
In recent years, intensive studies on degenerate versions of various special numbers and polynomials have been done by means of generating functions, combinatorial methods, umbral calculus, p-adic analysis and differential equations.
Taekyun Kim, Dae San Kim
doaj +1 more source
ABSTRACT China's poverty alleviation campaign is significant. Over the past four decades, the number of people in China living below the international extreme‐poverty line fell by close to 800 million, accounting for nearly three‐quarters of the global reduction in extreme poverty.
Zhiqi Xu, Wil Hout
wiley +1 more source
An introduction to Umbral Calculus [PDF]
The aim of these lectures is to give an introduction to combinatorial aspects of Umbral Calculus. Seen in this light, Umbral Calculus is a theory of polynomials that count combinatorial objects.
A. Di Bucchianico
core
Towards the Centenary of Sheffer Polynomial Sequences: Old and Recent Results
Sheffer’s work is about to turn 100 years after its publication. In reporting this important event, we recall some interesting old and recent results, aware of the incompleteness of the wide existing literature. Particularly, we recall Sheffer’s approach,
Francesco Aldo Costabile +2 more
doaj +1 more source
Read the free Plain Language Summary for this article on the Journal blog. Abstract Understanding how local climate patterns select for thermal and drought tolerance traits is needed to predict differential responses to climate change across complex ecosystems.
Caitlin N. Terry +5 more
wiley +1 more source

