ON APPELL-LAGUERRE POLYNOMIALS

[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.

[发布日期] 1993-12-31

[效力级别]  Proceedings Paper

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