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Sums of Products of Kronecker's Double Series
Title: | Sums of Products of Kronecker's Double Series |
Authors: | Machide, Tomoya Browse this author |
Keywords: | Bernoulli numbers | Bernoulli polynomials | Euler numbers | Euler polynomials | Sums of products |
Issue Date: | 2006 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 804 |
Start Page: | 1 |
End Page: | 18 |
Abstract: | Closed expressions are obtained for sums of products of Kronecker's double series. Corresponding results are derived for functions which are an elliptic analogue of the periodic Euler polynomials. As corollaries, we reproduce the formulas for sums of products of Bernoulli numbers, Bernoulli polynomials, Euler numbers, and Euler polynomials, which were given by K. Dilcher. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69612 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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