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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… Expand
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Related topics

Related topics

6 relations
Bernoulli polynomialsGeneralized Appell polynomialsHermite polynomialsPolynomial sequence
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2014
Highly Cited
2014
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… Expand
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2014
2014
Some Families of Differential Equations Associated with the Hermite-Based Appell Polynomials and Other Classes of Hermite-Based Polynomials
Recently, Khan { \it et al .} [S. Khan, G. Yasmin , R. Khan and N. A. M. Hassan , Hermite-based Appell polynomials: Properties… Expand
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2013
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… Expand
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Highly Cited
2012
Highly Cited
2012
Massive 3-loop Ladder Diagrams for Quarkonic Local Operator Matrix Elements
Abstract 3-loop diagrams of the ladder-type, which emerge for local quarkonic twist-2 operator matrix elements, are computed… Expand
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2010
2010
A determinantal approach to Appell polynomials
A new definition by means of a determinantal form for Appell (1880) [1] polynomials is given. General properties, some of them… Expand
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2004
2004
Another look at the Picard-Lefevre formula for finite-time ruin probabilities
Abstract In the compound Poisson risk model, with discrete claim size distribution, Picard and Lefevre [Picard, P., Lefevre, C… Expand
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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… Expand
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2002
2002
Serial-robot dynamics algorithms for moderately large numbers of joints
Abstract A method for solving the complete dynamic problem in robots with rigid links and ideal joints using the Gibbs–Appell… Expand
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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… Expand
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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… Expand
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