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The Darboux's formula and Obreschkoff's formula are extended from one variable to two variables,and their various forms are obtained;thus Sard's formula is also extended.Finally,several expansions of logarithm function of two variables ln(x+y) are given using the known Bernoulli polynomials and the Euler polynomials.
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Basic Information:
China Classification Code:O174
Citation Information:
[1]Luo Qiuming~1,An Chunxiang~2(1.Department of Mathematics,Jiaozuo University,Jiaozuo 454003,China,2.Department of Mathematics,Jiaozuo Normal College,Jiaozuo 454003,China).Darboux Formula and Obreschkoff Formula of Two Variable Functions[J].Journal of Zhengzhou University(Natural Science Edition),2005(03).
Fund Information:
国家自然科学基金资助项目,编号10001016;; 河南省杰出青年科学基金资助项目,编号0112000200
2005-09-01
2005-09-01