JP Journal of Algebra, Number Theory and Applications
Volume 13, Issue 1, Pages 65 - 98
(February 2009)
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APPELL POLYNOMIAL SEQUENCES: A LINEAR ALGEBRA APPROACH
Yongzhi Yang (USA) and Heekyung Youn (USA)
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Abstract: In this paper, we develop a new approach to studying Appell polynomial sequences via linear algebra. This approach offers a powerful tool for investigating the properties of Appell polynomials. Within a self-contained theory, employing only matrix operations, we show how the derivation of some of old and new properties of Appell polynomials is greatly simplified. |
Keywords and phrases: Appell polynomials, Bernoulli polynomials and numbers, Euler polynomials and numbers, generalized Pascal functional matrix, Wronskian vector, generalized Appell identity. |
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