A unified presentation of identities involving Weierstrass-type functions and their applications

作者：Wu Tsu Chen; Chang Chung Hau; Srivastava H M^*

来源：Applied Mathematics Letters, 2010, 23(8): 864-870.

DOI：10.1016/j.aml.2010.03.024

• Bernoulli numbers
• Weierstrass s..)-function
• Weierstrass-type functions
• Euler's identity
• Zeta function
• Eisenstein series

In this work, we investigate and discuss Weierstrass-type functions 6:)2k to the power of m, and then derive a general formula for identities among them. Applications of this general formula include not only producing many of the familiar identities among Weierstrass-type functions, but also infinitely many new ones. Moreover, it is observed that new Bernoulli identities could be constructed systematically by means of the new identities among Weierstrass-type functions.

• 出版日期2010-8