期刊文献+

Vandermonde卷积公式及其应用(英文)

A Vandermonde-type Convolution Formula and Its Applications
下载PDF
导出
摘要 利用Lagrange Bürmann反演公式得到了Vandermonde卷积公式,由此得到Abel恒等式的特殊情形和一些很有意义的组合恒等式. In this paper, a Vandermonde-type convolution formula by using the Lagrange-Bürmann inversion formula is presented.Furthermore,in virtue of this formula,the classical Abel identity as specific case and some significative combinatorial identities are obtained.
作者 孙映成
出处 《徐州师范大学学报(自然科学版)》 CAS 2005年第2期15-18,共4页 Journal of Xuzhou Normal University(Natural Science Edition)
基金 the Natural Science Foundation of the Education Department of Jiangsu Province(04JKB110152)
关键词 卷积公式 Abel恒等式 应用 组合恒等式 反演公式 Lagrange-Bürmann inversion convolution formula combinatorial identity
  • 相关文献

参考文献6

  • 1Comtet L. AdvancedCombinatorics-the Art of Finite and Infinite Expansions[M].Paris: Reidel PublishingCompany,1974.68-76.
  • 2Carsia A M, Joni S A. A new expression for umbral operators and power seriesinversion[J].Porc Ams,1977,64:179.
  • 3Gessel I, Stanton D. Applications of q-Lagrange inversion[J].Transaction of theAmerican Mathematical Society,1983,277(1):173.
  • 4Gould H W. Some generalizations of Vandermonde′s convolution[J].Monthly ofAmerican Mathematical Society,1956,63:84.
  • 5Gould H W. Final analysis of Vandermonde′s convolution[J].Monthly of AmericanMathematical Society,1956,63:409.
  • 6Joni S A. Polynomial of binomial type and Lagrange′s inversion formula[D].SanDiego:University of California,1977.

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