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哑算子可迁公式的证明及应用

Proof Application for Transfer Formulas of Umbral Operator
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摘要 利用形式幂级数方法证明了哑算子(Umbral operator)代数上的可迁公式(Transfer formula),并且证明了Sheffer序列的可迁公式与Lagrange展开定理是等价的.另外,作为这种代数方法与可迁公式的新应用,给出了2个组合矩阵反演的新证明. By means of formal power series, two generalized transfer formulas of umbral operator were shown, which in turn asserted that the generalized transfer formulas for the She_er sequences are equivalent to the Lagrange expan- sion theorem. As two byproducts of new argument, the generalized transfer formulas were used to reproduce two combinational matrix inversions originally.
作者 宋莉华
出处 《南通大学学报(自然科学版)》 CAS 2014年第1期71-75,共5页 Journal of Nantong University(Natural Science Edition) 
基金 国家自然科学基金项目(11071183)
关键词 哑算子 Sheffer序列 可迁公式 Lagrange展开定理 反演 umbral operator sheffer sequences transfer formula Lagrange expansion theorem inversion
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参考文献12

  • 1Roman S. The umbral calcullus [M ]. New York :Academic Press, 1984.
  • 2Roman S. The theory ofumbral calculus | [J]. J Math Anal Ap- pl, 1982, 87(1):58-115.
  • 3Roman S. The theory of umbral calculus 11 [J]. J Math Anal Ap- pl, 1982, 89(1):528-563.
  • 4Roman S. The theory ofumbral calculus III [J]. J Math Anal Ap- pl, 1983, 95(2) :528-563.
  • 5Roman S M, Rota G C. The umbral calculus[J]. Advances in Mathematics, 1978, 27(2) :95-98.
  • 6孙燮华.关于哑演算理论的若干新进展[J].中国计量学院学报,1994,5(2):9-16. 被引量:1
  • 7Whittaker E T, Watson G N. A course of modem analysis [M]. 4th ed. Cambrideg:UK Cambridge University Press, 1996.
  • 8Krattenthaler C. A new q-Lagrange formula and some appli- cations[J]. Proc Amer Math Soc, 1984, 90(2) :338-334.
  • 9Egorychev G P. Integral representation and the computation of combinatorial sums[M]. Amer Math Soe Translations, 1984.
  • 10Ma Xinrong. Two universal matrix inversions associated with the Hagen-Rothe formula, their q-analogues and ap- plications[J]. J Combin Theory, Ser A, 2011, 188(4) : 1475-1493.

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