Article
Differential Equation of Appell Polynomials Via the Factorization Method
Journal of Computational and Applied Mathematics
Document Type
Article
Publication Date
2-15-2002
Keywords
- Appell polynomials,
- Bernoulli polynomials,
- Euler polynomials,
- Differential equations
Disciplines
Abstract
Let {Pn(x)}∞n=0 be a sequence of polynomials of degree n. We define two sequences of differential operators Φn and Ψn satisfying the following properties:
By constructing these two operators for Appell polynomials, we determine their differential equations via the factorization method introduced by Infeld and Hull (Rev. Mod. Phys. 23 (1951) 21). The differential equations for both Bernoulli and Euler polynomials are given as special cases of the Appell polynomials.
DOI
10.1016/S0377-0427(01)00423-X
Citation Information
Matthew He and Paolo E. Ricci. "Differential Equation of Appell Polynomials Via the Factorization Method" Journal of Computational and Applied Mathematics Vol. 139 Iss. 2 (2002) p. 231 - 237 ISSN: 0377-0427 Available at: http://works.bepress.com/matthew-he/20/
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