Results 81 to 90 of about 509 (161)

An infinite dimensional umbral calculus [PDF]

open access: yes, 2019
The aim of this paper is to develop foundations of umbral calculus on the space $\mathcal D'$ of distributions on $\mathbb R^d$, which leads to a general theory of Sheffer polynomial sequences on $\mathcal D'$.
Finkelshtein, Dmitri   +7 more
core   +1 more source

Characterizations of Orthogonal Generalized Gegenbauer-Humbert Polynomials and Orthogonal Sheffer-type Polynomials [PDF]

open access: yes, 2011
We present characterizations of the orthogonal generalized Gegen-bauer-Humbert polynomial sequences and the orthogonal Sheffer-type polynomial sequences.
He, Tian-Xiao
core  

Two characterizations of Sheffer-Dunkl sequences

open access: yes
Sheffer polynomials can be characterized using different Stieltjes integrals. These families of polynomials have been recently extended to the Dunkl context. In this way some classical operators as the derivative operator or the difference operator are replaced as analogous operators in the Dunkl universe.
Asensi, Alejandro Gil   +1 more
openaire   +2 more sources

Generalized Riordan arrays [PDF]

open access: yes, 2008
In this paper, we generalize the concept of Riordan array. A generalized Riordan array with respect to cn is an infinite, lower triangular array determined by the pair (g(t),f(t)) and has the generic element dn,k=[tn/cn]g(t)(f(t))k/ck, where cn is a ...
Tianming Wang   +3 more
core   +1 more source

Reference genome of the long-jawed orb-weaver, Tetragnatha versicolor (Araneae: Tetragnathidae). [PDF]

open access: yesJ Hered, 2023
Adams SA   +14 more
europepmc   +1 more source

Chromosome-level reference genome of the European wasp spider Argiope bruennichi: a resource for studies on range expansion and evolutionary adaptation. [PDF]

open access: yesGigascience, 2021
Sheffer MM   +9 more
europepmc   +1 more source

AUTOMORPHISMS GENERATED BY UMBRAL CALCULUS ON A NUCLEAR SPACE OF ENTIRE TEST FUNCTIONS [PDF]

open access: yes, 2018
Jamil F, Kondratiev Y, Menchavez S, Streit L. AUTOMORPHISMS GENERATED BY UMBRAL CALCULUS ON A NUCLEAR SPACE OF ENTIRE TEST FUNCTIONS. METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY.
Streit, Ludwig ; https://orcid.org/   +3 more
core  

Generalized Segal–Bargmann transforms and generalized Weyl algebras associated with the Meixner class of orthogonal polynomials [PDF]

open access: yes
Meixner (1934) proved that there exist exactly five classes of orthogonal Sheffer sequences: Hermite polynomials which are orthogonal with respect to Gaussian distribution, Charlier polynomials orthogonal with respect to Poisson distribution, Laguerre ...
Eugene Lytvynov, Chadaphorn Kodsueb
core   +1 more source

Loss-of-function variants in DNM1 cause a specific form of developmental and epileptic encephalopathy only in biallelic state. [PDF]

open access: yesJ Med Genet, 2022
Yigit G   +12 more
europepmc   +1 more source

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