Results 51 to 60 of about 166,207 (201)

Representations by degenerate Daehee polynomials

open access: yesOpen Mathematics, 2022
In this paper, we consider the problem of representing any polynomial in terms of the degenerate Daehee polynomials and more generally of the higher-order degenerate Daehee polynomials.
Kim Taekyun   +3 more
doaj   +1 more source

Type-B analogue of Bell numbers using Rota's Umbral calculus approach [PDF]

open access: yesInternational Conference on Random and Exhaustive Generation of Combinatorial Structures
Rota used the functional L to recover old properties and obtain some new formulas for the Bell numbers. Tanny used Rota's functional L and the celebrated Worpitzky identity to obtain some expression for the ordered Bell numbers, which can be seen as an ...
Eli Bagno, David Garber
semanticscholar   +1 more source

Degenerate Lah–Bell polynomials arising from degenerate Sheffer sequences

open access: yesAdvances in Difference Equations, 2020
Umbral calculus is one of the important methods for obtaining the symmetric identities for the degenerate version of special numbers and polynomials. Recently, Kim–Kim (J. Math. Anal. Appl.
Hye Kyung Kim
doaj   +1 more source

SunSCC: Segmenting, Grouping and Classifying Sunspots From Ground‐Based Observations Using Deep Learning

open access: yesJournal of Geophysical Research: Space Physics, Volume 128, Issue 12, December 2023., 2023
Abstract We propose a fully automated system to detect, aggregate, and classify sunspot groups according to the McIntosh scheme using ground‐based white light (WL) observations from the USET facility located at the Royal Observatory of Belgium. The sunspot detection uses a Convolutional Neural Network (CNN), trained from segmentation maps obtained with
Niels Sayez   +4 more
wiley   +1 more source

Prioritizing global tall forests toward the 30 × 30 goals

open access: yesConservation Biology, Volume 37, Issue 6, December 2023., 2023
Abstract The Global Deal for Nature sets an ambitious goal to protect 30% of Earth's land and ocean by 2030. The 30 × 30 initiative is a way to allocate conservation resources and extend protection to conserve vulnerable and underprotected ecosystems while reducing carbon emissions to combat climate change.
Qiongyu Huang   +4 more
wiley   +1 more source

Operational Methods in the Study of Sobolev-Jacobi Polynomials

open access: yesMathematics, 2019
Inspired by ideas from umbral calculus and based on the two types of integrals occurring in the defining equations for the gamma and the reciprocal gamma functions, respectively, we develop a multi-variate version of umbral calculus and of the so-called ...
Nicolas Behr   +4 more
doaj   +1 more source

λ-q-Sheffer sequence and its applications

open access: yesDemonstratio Mathematica, 2022
Recently, Kim-Kim [J. Math. Anal. Appl. 493 (2021), no. 1] introduced the degenerate Sheffer sequence and λ-Sheffer sequence. The purpose of this article is to study λ-q-Sheffer sequence and the degenerate q-Sheffer sequence, which are derived from the ...
Kim Taekyun, Kim Dae San, Kim Hye Kyung
doaj   +1 more source

Umbral Vade Mecum

open access: yesFrontiers in Physics, 2013
In recent years the umbral calculus has emerged from the shadows to provide an elegant correspondence framework that automatically gives systematic solutions of ubiquitous difference equations --- discretized versions of the differential cornerstones ...
Thomas L Curtright, Cosmas K Zachos
doaj   +1 more source

Dual Numbers and Operational Umbral Methods

open access: yesAxioms, 2019
Dual numbers and their higher-order version are important tools for numerical computations, and in particular for finite difference calculus. Based on the relevant algebraic rules and matrix realizations of dual numbers, we present a novel point of view,
Nicolas Behr   +3 more
doaj   +1 more source

The theory of the umbral calculus III

open access: yesJournal of Mathematical Analysis and Applications, 1982
Developpement du calcul symbolique des puissances et de la methode des coalgebres et des comodules associee. Application a l'etude des fonctions speciales classiques (hypergeometriques, de Laguerre-Sonine, d'Hermite-Weber, de Legendre et de Bessel)
openaire   +4 more sources

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