About this Journal Submit a Manuscript Table of Contents
ISRN Discrete Mathematics
Volume 2011 (2011), Article ID 476462, 16 pages
http://dx.doi.org/10.5402/2011/476462
Research Article

Differential Equation and Recursive Formulas of Sheffer Polynomial Sequences

Department of Mathematics, University of St. Thomas, 2115 Summit Avenue, Saint Paul, MN 55105-1079, USA

Received 3 August 2011; Accepted 7 September 2011

Academic Editors: M. Chlebík, K. Eriksson, and M. C. Wilson

Copyright © 2011 Heekyung Youn and Yongzhi Yang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. di Bucchianico and D. Loeb, “A selected survey of umbral calculus,” Electronic Journal of Combinatorics, vol. 2, pp. 1–34, 2000. View at Scopus
  2. M. X. He and P. E. Ricci, “Differential equation of Appell polynomials via the factorization method,” Journal of Computational and Applied Mathematics, vol. 139, no. 2, pp. 231–237, 2002. View at Publisher · View at Google Scholar · View at MathSciNet
  3. Y. Yang and C. Micek, “Generalized Pascal functional matrix and its applications,” Linear Algebra and Its Applications, vol. 423, no. 2-3, pp. 230–245, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  4. Y. Yang and H. Youn, “Appell polynomial sequences: a linear algebra approach,” JP Journal of Algebra, Number Theory and Applications, vol. 13, no. 1, pp. 65–98, 2009.
  5. S. Roman, The Umbral Calculus, Academic Press, Orlando, Fla, USA, 1984.
  6. D. H. Lehmer, “A new approach to Bernoulli polynomials,” The American Mathematical Monthly, vol. 95, no. 10, pp. 905–911, 1988. View at Publisher · View at Google Scholar · View at MathSciNet
  7. K. Rosen, Handbook of Discrete and Combinatorial Mathematics, CRC Press LLC, Boca Raton, Fla, USA, 2000.