Some Symmetry Identities for the Euler Polynomials

Some Symmetry Identities for the Euler Polynomials

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摘要 Using the generating functions, we prove some symmetry identities for the Euler polynomials and higher order Euler polynomials, which generalize the multiplication theorem for the Euler polynomials. Also we obtain some relations between the Bernoulli polynomials, Euler polynomials, power sum, alternating sum and Genocchi numbers. Using the generating functions, we prove some symmetry identities for the Euler polynomials and higher order Euler polynomials, which generalize the multiplication theorem for the Euler polynomials. Also we obtain some relations between the Bernoulli polynomials, Euler polynomials, power sum, alternating sum and Genocchi numbers.

作者 Sheng Liang YANG Zhan Ke QIAO

机构地区 Department of Applied Mathematics Department of Mathematics

出处《Journal of Mathematical Research and Exposition》 CSCD 2010年第3期457-464,共8页 数学研究与评论（英文版）

基金 Supported by the Natural Science Foundation of Gansu Province (Grant No. 3ZS041-A25-007)

关键词 Euler polynomial Bernoulli number Bernoulli polynomial Genocchi number power sum alternating sum. Euler polynomial Bernoulli number Bernoulli polynomial Genocchi number power sum alternating sum.

分类号 O157.1 [理学—基础数学]

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1LUO Qiu-ming,GE Shu-mei.Some Remarks for the Relationships between the Generalized Bernoulli and Euler Polynomials[J].Chinese Quarterly Journal of Mathematics,2010,25(1):16-22. 被引量：1

Journal of Mathematical Research and Exposition

2010年第3期

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Some Symmetry Identities for the Euler Polynomials

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