Topic
Appell sequence
About: Appell sequence is a research topic. Over the lifetime, 223 publications have been published within this topic receiving 2991 citations.
Papers published on a yearly basis
1 / 2
Papers
7 Sep 2007
TL;DR: In this article, a special class of homogeneous monogenic polynomials constructed in the framework of hypercomplex function theory is presented, in order to be an Appell set of polynomial functions.
Abstract: In this paper we present applications of a special class of homogeneous monogenic polynomials constructed, in the framework of hypercomplex function theory, in order to be an Appell set of polynomials. In particular, we derive important properties of an associated exponential function from R3 to R3 and propose a generalization to Rn+1.
109 citations
TL;DR: A new definition by means of a determinantal form for Appell (1880) polynomials is given and general properties, some of them new, are proved by using elementary linear algebra tools.
103 citations
1 Jan 1986
TL;DR: In this article, a CLT for processes of the form L(Xt) is proved, where L(x) is a polynomial and Xt, t ∈ ℤ is a process with long range dependence.
Abstract: A CLT for processes of the form L(Xt) is proved, where L(x) is a polynomial and Xt, t ∈ ℤ is a process with long range dependence. Conditions on Xt are formulated in terms of semi-invariants; they are specified for linear processes Xt. The notion of the Appell rank of L(x) plays a basic role in the CLT. Various topics related to Appell polynomials (e.g. expansions, diagram formalism for semi-invariants) are discussed.
85 citations
TL;DR: From applications of umbral calculus on fermionic p -adic integral on Z p, some new identities on Genocchi numbers and polynomials are derived.
82 citations
TL;DR: In this article, the authors introduced Hermite-based Appell polynomials and investigated the possibility of extending this technique to introduce Hermite based Sheffer polynomorphisms (for example, Hermite Laguerre and Hermite Sister Celine's polynomial).
70 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 2 |
| 2020 | 1 |
| 2019 | 5 |
| 2018 | 3 |
| 2017 | 16 |
| 2016 | 12 |