Title of article
A unified presentation of identities involving Weierstrass-type functions and their applications
Author/Authors
Wu، نويسنده , , Tsu-Chen and Chang، نويسنده , , Chung-Hau and Srivastava، نويسنده , , H.M.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
7
From page
864
To page
870
Abstract
In this work, we investigate and discuss Weierstrass-type functions ℘ 2 k 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.
Keywords
Bernoulli numbers , Weierstrass ? -function , Weierstrass-type functions , zeta function , Eisenstein series , Euler’s identity
Journal title
Applied Mathematics Letters
Serial Year
2010
Journal title
Applied Mathematics Letters
Record number
1527035
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