Differential Equation and Recursive Formulas of Sheffer Polynomial Sequences
Joint Authors
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-03
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Youn, Heekyung& Yang, Yongzhi. 2011. Differential Equation and Recursive Formulas of Sheffer Polynomial Sequences. ISRN Discrete Mathematics،Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-474626
Modern Language Association (MLA)
Youn, Heekyung& Yang, Yongzhi. Differential Equation and Recursive Formulas of Sheffer Polynomial Sequences. ISRN Discrete Mathematics No. 2011 (2011), pp.1-16.
https://search.emarefa.net/detail/BIM-474626
American Medical Association (AMA)
Youn, Heekyung& Yang, Yongzhi. Differential Equation and Recursive Formulas of Sheffer Polynomial Sequences. ISRN Discrete Mathematics. 2011. Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-474626
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-474626
