In this paper, the Euler-Maclaurin Summation formula was researched, the purpose of research is to promote the application of the Hurwitz Zeta-function ; Combination method of number theory special a function and Euler-Maclaurin Summation Formula was been used ; By three derivatives of the the Euler-Maclaurin Summation formula , three formulas of Hurwitz Zeta-function were been given.
| Published in |
Pure and Applied Mathematics Journal (Volume 4, Issue 5-1)
This article belongs to the Special Issue Mathematical Aspects of Engineering Disciplines |
| DOI | 10.11648/j.pamj.s.2015040501.12 |
| Page(s) | 6-14 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2015. Published by Science Publishing Group |
Hurwitz Zeta-function, Euler Maclauring Summation, Logarithmic Derivative
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APA Style
Qianli Yang. (2015). The Higher Derivation of the Hurwitz Zeta-function. Pure and Applied Mathematics Journal, 4(5-1), 6-14. https://doi.org/10.11648/j.pamj.s.2015040501.12
ACS Style
Qianli Yang. The Higher Derivation of the Hurwitz Zeta-function. Pure Appl. Math. J. 2015, 4(5-1), 6-14. doi: 10.11648/j.pamj.s.2015040501.12
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Download@article{10.11648/j.pamj.s.2015040501.12,
author = {Qianli Yang},
title = {The Higher Derivation of the Hurwitz Zeta-function},
journal = {Pure and Applied Mathematics Journal},
volume = {4},
number = {5-1},
pages = {6-14},
doi = {10.11648/j.pamj.s.2015040501.12},
url = {https://doi.org/10.11648/j.pamj.s.2015040501.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.s.2015040501.12},
abstract = {In this paper, the Euler-Maclaurin Summation formula was researched, the purpose of research is to promote the application of the Hurwitz Zeta-function ; Combination method of number theory special a function and Euler-Maclaurin Summation Formula was been used ; By three derivatives of the the Euler-Maclaurin Summation formula , three formulas of Hurwitz Zeta-function were been given.},
year = {2015}
}
TY - JOUR T1 - The Higher Derivation of the Hurwitz Zeta-function AU - Qianli Yang Y1 - 2015/07/14 PY - 2015 N1 - https://doi.org/10.11648/j.pamj.s.2015040501.12 DO - 10.11648/j.pamj.s.2015040501.12 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 6 EP - 14 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.s.2015040501.12 AB - In this paper, the Euler-Maclaurin Summation formula was researched, the purpose of research is to promote the application of the Hurwitz Zeta-function ; Combination method of number theory special a function and Euler-Maclaurin Summation Formula was been used ; By three derivatives of the the Euler-Maclaurin Summation formula , three formulas of Hurwitz Zeta-function were been given. VL - 4 IS - 5-1 ER -
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