期刊文献+

On Some Transformation and Summation Formulae for Bivariate Basic Hypergeometric Series

双变量基本超几何级数的若干变换与求和公式(英文)
下载PDF
导出
摘要 The purpose of this paper is to establish several transformation formulae for bivariate basic hypergeometric series by means of series rearrangement technique. From these transformations, some interesting summation formulae are obtained. The purpose of this paper is to establish several transformation formulae for bivariate basic hypergeometric series by means of series rearrangement technique. From these transformations, some interesting summation formulae are obtained.
出处 《Journal of Mathematical Research and Exposition》 CSCD 2009年第6期1029-1034,共6页 数学研究与评论(英文版)
基金 the National Natural Science Foundation of China (No.10771093) the Natural Science Foundation of the Education Department of Henan Province (No.2007110025)
关键词 basic hypergeometric series Watson's q-Whipple transformation series rearrange-ment. 基本超几何级数 求和公式 二元 转型 转换公式
  • 相关文献

参考文献8

  • 1CARLITZ L. Some formulas ofF. H. Jackson [J]. Monatsh. Math., 1969, 73: 193-198.
  • 2CHU Wenchang, SRIVASTAVA H M. Ordinary and basic bivariate hypergeometric transformations associated with the Appell and Kampe de Feriet functions [J]. J. Comput. Appl. Math., 2003, 156(2): 355-370.
  • 3GASPER G, RAHMAN M. Basic Hypergeometric Series. With a foreword by Richard Askey (II) [M]. Cambridge University Press, Cambridge, 2004.
  • 4JAIN V K. Certain transformations of basic hypergeometric series and their applications [J]. Pacific J. Math., 1982, 101(2): 333-349.
  • 5JIA Cangzhi, WANG Tianming. Reduction and transformation formulae for bivariate basic hypergeometric series [J]. J. Math. Anal. Appl., 2007, 328(2): 1152-1160.
  • 6SINGH S P. Certain transformation formulae for q-series [J]. Indian J. Pure Appl. Math., 2000, 31(10): 1369-1377.
  • 7SRIVASTAVA H M, KARLSSON P W. Multiple Gaussian Hypergeometric Series [M]. John Wiley & Sons, Inc., New York, 1985.
  • 8SLATER L J. Generalized Hypergeometric Functions [M]. Cambridge University Press, Cambridge, 1966.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部