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Appell sequence

Known as: Appell, Appel sequence, Appell sets 
In mathematics, an Appell sequence, named after Paul Émile Appell, is any polynomial sequence {pn(x)}n = 0, 1, 2, ... satisfying the identity and in… 
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Related topics

Related topics

6 relations
Bernoulli polynomialsGeneralized Appell polynomialsHermite polynomialsPolynomial sequence

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2013
Highly Cited
2013
Solving the conformal constraints for scalar operators in momentum space and the evaluation of Feynman’s master integrals
A bstractWe investigate the structure of the constraints on three-point correlation functions emerging when conformal invariance… 
Highly Cited
2012
Highly Cited
2012
Hecke‐type double sums, Appell–Lerch sums, and mock theta functions, I
By introducing a dual notion between partial theta functions and Appell–Lerch sums, we find and prove a formula which expresses… 
Highly Cited
2010
Highly Cited
2010
The non-compact elliptic genus: mock or modular
We analyze various perspectives on the elliptic genus of non-compact supersymmetric coset conformal field theories with central… 
2007
2007
Exact symbol error probability of general order rectangular QAM with MRC diversity reception over nakagami-m fading channels
Exact average symbol error probability (SEP) of the general order rectangular quadrature amplitude modulation (QAM) with maximal… 
Highly Cited
2006
Highly Cited
2006
Periapsis and gravitomagnetic precessions of stellar orbits in Kerr and Kerr–de Sitter black hole spacetimes
The exact solution for the motion of a test particle in a non-spherical polar orbit around a Kerr black hole is derived. Exact… 
Highly Cited
2002
Highly Cited
2002
What is the General Form of the Explicit Equations of Motion for Constrained Mechanical Systems
This paper presents the general form of the explicit equations of motion for mechanical systems. The systems may have holonomic… 
Highly Cited
2000
Highly Cited
2000
Equal-gain diversity receiver performance in wireless channels
Performance analysis of equal-gain combining (EGC) diversity systems is notoriously difficult only more so given that the closed… 
Highly Cited
1996
Highly Cited
1996
NONPERTURBATIVE EFFECTIVE ACTIONS OF (N=2)-SUPERSYMMETRIC GAUGE THEORIES
We elaborate on our previous work on (N=2)-supersymmetric Yang-Mills theory. In particular, we show how to explicitly determine… 
Highly Cited
1994
Highly Cited
1994
Going in and out of Languages: An Example of Bilingual Flexibility
When bilinguals speak to one another, they choose a base language to interact in and then, depending on the need, code-switch to… 
Highly Cited
1983
Highly Cited
1983
Generalised hypergeometric series NF (x1,...,xN) arising in physical and quantum chemical applications
Functions NF (x1,...,xN) which are a straightforward generalisation of standard hypergeometric functions of N variables are… 
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