CONVERGENCE OF PADE APPROXIMANTS OF PARTIAL THETA-FUNCTIONS AND THE ROGERS-SZEGO POLYNOMIALS

被引:38
作者
LUBINSKY, DS
SAFF, EB
机构
[1] CSIR,NATL RES INST MATH SCI,PRETORIA 0001,SOUTH AFRICA
[2] UNIV S FLORIDA,DEPT MATH,INST CONSTRUCT MATH,TAMPA,FL 33620
关键词
D O I
10.1007/BF01890574
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:331 / 361
页数:31
相关论文
共 45 条
[1]   RAMANUJANS LOST NOTEBOOK .1. PARTIAL THETA-FUNCTIONS [J].
ANDREWS, GE .
ADVANCES IN MATHEMATICS, 1981, 41 (02) :137-172
[2]  
ASKEY R, 1984, MEM AM MATH SOC, V49
[3]  
Baker G. A., 1975, ESSENTIALS PADE APPR
[4]  
Balk M.B., 1960, ISSLEDOVANIYA SOVREM, P234
[5]   BEHAVIOR OF ZEROS OF POLYNOMIALS OF NEAR BEST APPROXIMATION [J].
BLATT, HP ;
SAFF, EB .
JOURNAL OF APPROXIMATION THEORY, 1986, 46 (04) :323-344
[6]  
BLATT HP, 1985, DELAY EQUATIONS APPR, V74, P71
[7]  
BUSLAEV VI, 1984, MATH USSR SB, V48, P535
[8]   PADE-TABLES OF ENTIRE-FUNCTIONS [J].
EDREI, A .
JOURNAL OF APPROXIMATION THEORY, 1980, 28 (01) :54-82
[9]   ANGULAR-DISTRIBUTION OF THE ZEROS OF PADE POLYNOMIALS [J].
EDREI, A .
JOURNAL OF APPROXIMATION THEORY, 1978, 24 (03) :251-265
[10]   SECTIONS OF THE TAYLOR EXPANSION OF EXP (G(Z)) WHERE G(Z) IS ENTIRE AND ADMISSIBLE IN THE SENSE OF HAYMAN [J].
EDREI, A .
CONSTRUCTIVE APPROXIMATION, 1985, 1 (04) :359-396