Results 61 to 70 of about 325,732 (181)

Certain Hybrid Matrix Polynomials Related to the Laguerre-Sheffer Family

Fractal 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

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

Fractal 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, Emanuele Di Palma, Silvia Licciardi, Elio Sabia   +3 more
doaj   +1 more source

A Family of Generalized Legendre-Based Apostol-Type Polynomials

Axioms, 2022
Numerous polynomials, their extensions, and variations have been thoroughly explored, owing to their potential applications in a wide variety of research fields.
Talha Usman, Nabiullah Khan, Mohd Aman, Junesang Choi   +3 more
doaj   +1 more source

Using Rota's Umbral calculus to enumerate Stanley's P-partitions [PDF]

, 2008
Gian-Carlo's powerfull Umbral calculus, suitably automated, is used to enumerate large families of Richard Stanley's P ...
Zeilberger, Doron, Ekhad, Shalosh B.
core   +1 more source

Prospective external validation of ADNEX and RMI for estimating risk of malignancy in adnexal masses in general gynecological settings: Danish multicenter study

Ultrasound in Obstetrics &Gynecology, Volume 68, Issue 2, Page 256-269, August 2026.
ABSTRACT Objectives The primary aims of this study were to validate externally the diagnostic performance of the Assessment of Different NEoplasias in the adneXa (ADNEX) model for distinguishing between malignant and benign adnexal masses, when used by non‐expert ultrasound examiners in general gynecological settings with a low prevalence of ovarian ...
I. M. Dueholm Hjorth, B. H. Bech, A. Ledger, C. Møller, T. Van den Bosch, O. Mogensen, Collaborators, R. Al Taie, C. Blach Kristensen, M. Lundegaard Iversen, P. Bor, M. Stentebjerg   +11 more
wiley   +1 more source

Tertiary‐Ozone‐Maximum‐Like Mesospheric Ozone Increases Driven by Solar Eclipses: Sensitivity Experiments on WACCM‐X

Journal of Geophysical Research: Space Physics, Volume 131, Issue 8, August 2026.
Abstract Solar eclipses offer natural experiments to isolate the photochemical response of mesospheric ozone to solar radiation. Using the WACCM‐X model, we performed mechanism‐oriented sensitivity experiments for the 14 December 2020 eclipse to quantify the tertiary‐ozone‐maximum‐like (TOM‐like) response.
T. Yang, T. Nagahama, A. Mizuno, T. Dang, J. Lei, Joseph M. McInerney   +5 more
wiley   +1 more source

Angular momentum theory, umbral calculus, and combinatorics [PDF]

, 2001
The theory of the unitary irreducible representations of the unitary group SU(2) is reviewed with the objective of demonstrating the fundamental role that the umbral calculus and combinatorics play.
Chen, William Y.C., Louck, J.D., H.W. Galbraith, J.D. Louck, Galbraith, H.W., William Y.C. Chen   +5 more
core   +1 more source

Some Identities on Degenerate Bernstein and Degenerate Euler Polynomials

Mathematics, 2019
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

Umbral calculus in Ore extensions

, 2020
The aim of the paper is to show the existence of some ingredients for an umbral calculus on some Ore extensions, in a manner analogous to Rota's classical umbral calculus which deals with a univariate polynomial ring on a field of characteristic zero ...
Chahrazed Benouaret, A. Salinier
semanticscholar   +1 more source

Impacts of Ionospheric Conductance During the December 2021 Solar Eclipse on the Coupled Magnetosphere‐Ionosphere‐Thermosphere System

Journal of Geophysical Research: Space Physics, Volume 131, Issue 8, August 2026.
Abstract Solar eclipses provide unique opportunities to investigate geospace dynamics driven by rapid, localized reductions in solar radiation. On December 4th $4\text{t}\text{h}$, 2021, a total solar eclipse occurred over West Antarctica during substorms.
Yu Hong, Yue Deng, Daniel T. Welling, Aaron J. Ridley, Gang Lu, Astrid Maute, Qingyu Zhu, Sebastijan Mrak, Colin Waters, Cheng Sheng, Minjing Li, Ramon Lopez   +11 more
wiley   +1 more source