POSITIVITY OF THE POISSON KERNEL FOR THE CONTINUOUS Q-JACOBI POLYNOMIALS AND SOME QUADRATIC TRANSFORMATION FORMULAS FOR BASIC HYPERGEOMETRIC-SERIES

被引：16

作者：

GASPER, G ^{[1
]}

RAHMAN, M ^{[1
]}

机构：

[1] CARLETON UNIV,DEPT MATH & STAT,OTTAWA K1S 5B6,ONTARIO,CANADA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1986年 / 17卷 / 04期

关键词：

D O I：

10.1137/0517069

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：970 / 999

页数：30

共 17 条

[1] SOME REMARKS ON Q-BETA-INTEGRAL [J].

ALSALAM, WA ;

VERMA, A .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 85 (03) :360-362

[2] Q-ANALOGS OF WATSON AND WHIPPLE SUMMATIONS/S [J].

ANDREWS, GE .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1976, 7 (03) :332-336

[3] Q-IDENTITIES OF AULUCK CARLITZ AND ROGERS [J].

ANDREWS, GE .

DUKE MATHEMATICAL JOURNAL, 1966, 33 (03) :575-&

[4]

ASKEY R, 1985, MEM AM MATH SOC, V319

[5]

Bailey WN., 1936, Q J MATH OXFORD, V7, P105, DOI [10.1093/qmath/os-7.1.105, DOI 10.1093/QMATH/OS-7.1.105]

[6] SOME FORMULAS OF JACKSON,FH [J].

CARLITZ, L .

MONATSHEFTE FUR MATHEMATIK, 1969, 73 (03) :193-&

[7] POSITIVITY OF THE POISSON KERNEL FOR THE CONTINUOUS Q-ULTRASPHERICAL POLYNOMIALS [J].

GASPER, G ;

RAHMAN, M .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1983, 14 (02) :409-420

[8] PRODUCT-FORMULAS OF WATSON, BAILEY AND BATEMAN TYPES AND POSITIVITY OF THE POISSON KERNEL FOR Q-RACAH POLYNOMIALS [J].

GASPER, G ;

RAHMAN, M .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1984, 15 (04) :768-789

[9]

GASPER G, C HARMONIC ANAL HONO, P44

[10] ASYMPTOTIC AND GENERATING RELATIONS FOR THE Q-JACOBI AND 4-PHI-3 POLYNOMIALS [J].

ISMAIL, MEH ;

WILSON, JA .

JOURNAL OF APPROXIMATION THEORY, 1982, 36 (01) :43-54

← 1 2 →