Higher-Order Multivariable Euler’s Polynomial and Higher-Order Multivariable Bernoulli’s Polynomial

Liu Guodong

Volume 19 Issue 9

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Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(9): 827-836

Liu Guodong. Higher-Order Multivariable Euler’s Polynomial and Higher-Order Multivariable Bernoulli’s Polynomial[J]. Applied Mathematics and Mechanics, 1998, 19(9): 827-836.

Citation:

Liu Guodong. Higher-Order Multivariable Euler’s Polynomial and Higher-Order Multivariable Bernoulli’s Polynomial[J]. Applied Mathematics and Mechanics, 1998, 19(9): 827-836.

Citation:

Liu Guodong. Higher-Order Multivariable Euler’s Polynomial and Higher-Order Multivariable Bernoulli’s Polynomial[J]. Applied Mathematics and Mechanics, 1998, 19(9): 827-836.

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Higher-Order Multivariable Euler’s Polynomial and Higher-Order Multivariable Bernoulli’s Polynomial

Liu Guodong

Departmet of Mathematics, Huizhou University, Huizhou, Guangdong 516015, P.R. China

Received Date: 1996-11-11
Rev Recd Date: 1997-04-10
Publish Date: 1998-09-15

Abstract

Abstract

In this paper,the definitions of both higher-order multivariable Euler's numbers and polynomial,higher-order multivariable Bernoulli's numbers and polynomial are given and some of their important properties are expounded.As a resut,the mathematical relationship between higher-order multivariable Euler's polynomial (numbers) and higher-order multivariable Bernoulli's polynomial (numbers) are thus obtained.

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References(6)

References

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[3]	N.E.Noulund,Vorlesungen Über Difference Zenchnun g,Berlin (1923),29-37,110-156.
[4]	Tom M.Aposto,Introduction to Analytic Number,Springer-Verlag,Newyork,Iteidelberg,Berlin (1976).
[5]	W.H.拜尔,《标准数学手册》(荣现志、张顺忠译),化学工业出版社,北京 (1988),420-426.
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