Some extensions for the several combinatorial identities
Abstract In this paper, we give some extensions for Mortenson’s identities in series with the Bell polynomial using the partial fraction decomposition. As applications, we obtain some combinatorial identities involving the harmonic numbers.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-01-01
|
| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-020-03171-1 |
| id |
doaj-8a75a4fb2a51499d986fdda568e6b9f7 |
|---|---|
| record_format |
Article |
| spelling |
doaj-8a75a4fb2a51499d986fdda568e6b9f72021-01-10T12:52:30ZengSpringerOpenAdvances in Difference Equations1687-18472021-01-01202111510.1186/s13662-020-03171-1Some extensions for the several combinatorial identitiesGao-Wen Xi0Qiu-Ming Luo1Department of Mathematics, Chongqing University of Science and TechnologyDepartment of Mathematics, Chongqing Normal UniversityAbstract In this paper, we give some extensions for Mortenson’s identities in series with the Bell polynomial using the partial fraction decomposition. As applications, we obtain some combinatorial identities involving the harmonic numbers.https://doi.org/10.1186/s13662-020-03171-1Combinatorial identitiesHarmonic numberBell polynomialsPartial fraction decomposition |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Gao-Wen Xi Qiu-Ming Luo |
| spellingShingle |
Gao-Wen Xi Qiu-Ming Luo Some extensions for the several combinatorial identities Advances in Difference Equations Combinatorial identities Harmonic number Bell polynomials Partial fraction decomposition |
| author_facet |
Gao-Wen Xi Qiu-Ming Luo |
| author_sort |
Gao-Wen Xi |
| title |
Some extensions for the several combinatorial identities |
| title_short |
Some extensions for the several combinatorial identities |
| title_full |
Some extensions for the several combinatorial identities |
| title_fullStr |
Some extensions for the several combinatorial identities |
| title_full_unstemmed |
Some extensions for the several combinatorial identities |
| title_sort |
some extensions for the several combinatorial identities |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1847 |
| publishDate |
2021-01-01 |
| description |
Abstract In this paper, we give some extensions for Mortenson’s identities in series with the Bell polynomial using the partial fraction decomposition. As applications, we obtain some combinatorial identities involving the harmonic numbers. |
| topic |
Combinatorial identities Harmonic number Bell polynomials Partial fraction decomposition |
| url |
https://doi.org/10.1186/s13662-020-03171-1 |
| work_keys_str_mv |
AT gaowenxi someextensionsfortheseveralcombinatorialidentities AT qiumingluo someextensionsfortheseveralcombinatorialidentities |
| _version_ |
1724342229315616768 |