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关于Euler积分多项式的一组恒等式

A Set of Identities of Euler’s Polynomials and Their Properties
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摘要 利用发生函数,研究了Euler积分多项式和Bernoulli多项式,Genocchi多项式之间的关系,并得到了一些有趣的性质. In this paper,we research on the relationships among integral polynomia1 of Euler’s polynomials and Bernoulli polynomials,as well as Genocchi polynomials by the method of general function,and obtain some interesting identities.
作者 陈候炎
出处 《乐山师范学院学报》 2010年第5期1-4,共4页 Journal of Leshan Normal University
基金 国家自然科学基金项目(10771186) 湛师基教院科研基金(200439)
关键词 Euler积分多项式 性质 生成函数 integral polynomial of Euler’s polynomial property general function
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  • 1朱伟义.有关Euler、Bernoulli和Genocehi序列几个恒等式[J].浙江师范大学学报(自然科学版),2004,27(3):230-233. 被引量:11
  • 2杜凤英.几个Bernoulli多项式和Euler多项式的关系式[J].浙江师范大学学报(自然科学版),2006,29(4):401-404. 被引量:2
  • 3王竹溪 郭守仁.特殊函数概论[M].科学出版社,1979.383.
  • 4Carlitz L. Bernoulli N umbers[J]. Fib. Quart, 1968,6 : 71-85.
  • 5Luo Qiuming, Qi Feng. Relationships between generalized Bernoulli numbers and polynomials and generalized Euler numbers and polynomials [J]. Adv. Stud. Contemp. Math. ,2003,7 (1) : 11-18.
  • 6Abramowitz M.Stegun I A (Eds).Handbook of Mathematical Functions with Formulas,Graphs,and Mathematical Tables [M]. National Bureau of Standards, applied Mathematics Series 55, 4th printing,Washington, 1965.
  • 7Nǒrlund N E. Differentzenrechnung[M]. Berling Springer-Verlag. 1924.
  • 8Zhang Wen Peng. Some idendities involing the Euler and the central factorial numbers [J]. The Fibonacci Quarterly, 1998, 36(2): 154--157.
  • 9Vassilev M V. Relations between Bernoulli numbers and Euler numbers[J]. Bull Number Related Topics. 1987.11(1--3): 93--95.
  • 10M Abramowitz,I A Stegun (Eds). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables,National Bureau of Standards, Applied Mathematics Series 55, 4th printing, Washington, 1965, 804~810.

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