ON APPELL-LAGUERRE POLYNOMIALS

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:49

Article; Proceedings Paper

BELMEHDI, S

关键词: APPELL POLYNOMIALS;    LAGUERRE POLYNOMIALS;    RODRIGUES FORMULA;    GENERATING FUNCTION;    HYPERGEOMETRIC DIFFERENTIAL EQUATION;   

DOI  :  10.1016/0377-0427(93)90129-Y

来源: Elsevier

【 摘 要 】

In this note we give a digest study of Appell-Laguerre polynomials, we provide a recurrence relation and a second-order differential equation satisfied by these polynomials. Moreover, an explicit expression and a generating function of the polynomials are given. The location and the number of the real zeros of Appell-Laguerre polynomials are determined; consequently, we recover information about the zeros of Laguerre polynomials when the range of the parameter alpha is the whole real axis excepting the negative integers.

【 授权许可】

Free