An upper bound for the Laguerre polynomials

被引:14
作者
Lewandowski, Z [1 ]
Szynal, J [1 ]
机构
[1] Marie Curie Sklodowska Univ, Dept Math, PL-20031 Lublin, Poland
关键词
Laguerre polynomials; Laplace integral;
D O I
10.1016/S0377-0427(98)00181-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A simple new uniform estimate for the Laguerre polynomials of order alpha, L-n((alpha))(x), alpha is an element of R is given. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:529 / 533
页数:5
相关论文
共 7 条
[1]  
Abramowitz M., 1964, HDB MATH FUNCTIONS
[2]   JACOBI POLYNOMIALS .2. ANALYTIC PROOF OF PRODUCT FORMULA [J].
KOORNWINDER, T .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1974, 5 (01) :125-137
[3]  
Lewardowski Z., 1995, 16 ROLF NEV C, P257
[4]   INEQUALITIES FOR LEGENDRE FUNCTIONS AND GEGENBAUER FUNCTIONS [J].
LOHOFER, G .
JOURNAL OF APPROXIMATION THEORY, 1991, 64 (02) :226-234
[5]  
Rainville E., 1960, Special Functions
[6]  
Rooney P.G., 1985, C.R. Math. Rep. Acad. Sci. Can., V7, P273
[7]  
SZEGO G, 1939, AM MATH SOC C PUBL, V23