Differential Equation and Recursive Formulas of Sheffer Polynomial Sequences. (3rd November 2011)
- Record Type:
- Journal Article
- Title:
- Differential Equation and Recursive Formulas of Sheffer Polynomial Sequences. (3rd November 2011)
- Main Title:
- Differential Equation and Recursive Formulas of Sheffer Polynomial Sequences
- Authors:
- Youn Youn, Heekyung Heekyung
Yang Yang, Yongzhi Yongzhi - Other Names:
- Chlebík Chlebík M. M. Academic Editor.
Eriksson Eriksson K. K. Academic Editor.
Wilson Wilson M. C. M. C. Academic Editor. - Abstract:
- Abstract : We derive a differential equation and recursive formulas of Sheffer polynomial sequences utilizing matrix algebra. These formulas provide the defining characteristics of, and the means to compute, the Sheffer polynomial sequences. The tools we use are well-known Pascal functional and Wronskian matrices. The properties and the relationship between the two matrices simplify the complexity of the generating functions of Sheffer polynomial sequences. This work extends He and Ricci's work (2002) to a broader class of polynomial sequences, from Appell to Sheffer, using a different method. The work is self-contained.
- Is Part Of:
- ISRN discrete mathematics. Volume 2011(2011)
- Journal:
- ISRN discrete mathematics
- Issue:
- Volume 2011(2011)
- Issue Display:
- Volume 2011, Issue 2011 (2011)
- Year:
- 2011
- Volume:
- 2011
- Issue:
- 2011
- Issue Sort Value:
- 2011-2011-2011-0000
- Page Start:
- Page End:
- Publication Date:
- 2011-11-03
- Subjects:
- Discrete mathematics -- Periodicals
Computer science -- Mathematics
Computer science -- Mathematics
Periodicals
511.1 - Journal URLs:
- https://www.hindawi.com/journals/isrn/contents/isrn.discrete.mathematics/ ↗
http://bibpurl.oclc.org/web/53927 ↗ - DOI:
- 10.5402/2011/476462 ↗
- Languages:
- English
- ISSNs:
- 2090-7788
- Deposit Type:
- Legaldeposit
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- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 24197.xml