An infinite dimensional umbral calculus [PDF]
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
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Characterizations of Orthogonal Generalized Gegenbauer-Humbert Polynomials and Orthogonal Sheffer-type Polynomials [PDF]
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
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
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Generalized Riordan arrays [PDF]
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
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Reference genome of the long-jawed orb-weaver, Tetragnatha versicolor (Araneae: Tetragnathidae). [PDF]
Adams SA +14 more
europepmc +1 more source
Sheffer sequences, probability distributions and approximation operators [PDF]
Craciun, M., Di Bucchianico, A.
openaire +3 more sources
Chromosome-level reference genome of the European wasp spider Argiope bruennichi: a resource for studies on range expansion and evolutionary adaptation. [PDF]
Sheffer MM +9 more
europepmc +1 more source
AUTOMORPHISMS GENERATED BY UMBRAL CALCULUS ON A NUCLEAR SPACE OF ENTIRE TEST FUNCTIONS [PDF]
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]
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]
Yigit G +12 more
europepmc +1 more source

