In this note, we shall give an explicit formula for the coefficients of the expansion of given generating function, when that function has an appropriate form, the coefficients can be represented by the higher-order Daehee and Changhee polynomials and numbers of the first kind. By the classical method of comparing the coefficients of the generating function, we show some interesting identities related to the Higher-order Daehee and Changhee numbers.
| 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.2015040501.17 |
| Page(s) | 33-37 |
| 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 |
Higher-order Daehee Numbers, Higher-order Changhee Numbers, Bernoulli Number, Euler Number
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APA Style
Nian Liang Wang, Hailong Li. (2015). Some identities on the Higher-order Daehee and Changhee Numbers. Pure and Applied Mathematics Journal, 4(5-1), 33-37. https://doi.org/10.11648/j.pamj.s.2015040501.17
ACS Style
Nian Liang Wang; Hailong Li. Some identities on the Higher-order Daehee and Changhee Numbers. Pure Appl. Math. J. 2015, 4(5-1), 33-37. doi: 10.11648/j.pamj.s.2015040501.17
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Download@article{10.11648/j.pamj.s.2015040501.17,
author = {Nian Liang Wang and Hailong Li},
title = {Some identities on the Higher-order Daehee and Changhee Numbers},
journal = {Pure and Applied Mathematics Journal},
volume = {4},
number = {5-1},
pages = {33-37},
doi = {10.11648/j.pamj.s.2015040501.17},
url = {https://doi.org/10.11648/j.pamj.s.2015040501.17},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.s.2015040501.17},
abstract = {In this note, we shall give an explicit formula for the coefficients of the expansion of given generating function, when that function has an appropriate form, the coefficients can be represented by the higher-order Daehee and Changhee polynomials and numbers of the first kind. By the classical method of comparing the coefficients of the generating function, we show some interesting identities related to the Higher-order Daehee and Changhee numbers.},
year = {2015}
}
TY - JOUR T1 - Some identities on the Higher-order Daehee and Changhee Numbers AU - Nian Liang Wang AU - Hailong Li Y1 - 2015/08/05 PY - 2015 N1 - https://doi.org/10.11648/j.pamj.s.2015040501.17 DO - 10.11648/j.pamj.s.2015040501.17 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 33 EP - 37 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.s.2015040501.17 AB - In this note, we shall give an explicit formula for the coefficients of the expansion of given generating function, when that function has an appropriate form, the coefficients can be represented by the higher-order Daehee and Changhee polynomials and numbers of the first kind. By the classical method of comparing the coefficients of the generating function, we show some interesting identities related to the Higher-order Daehee and Changhee numbers. VL - 4 IS - 5-1 ER -
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