Some Determinantal Expressions and Recurrence Relations of the Bernoulli Polynomials
In the paper, the authors recall some known determinantal expressions in terms of the Hessenberg determinants for the Bernoulli numbers and polynomials, find alternative determinantal expressions in terms of the Hessenberg determinants for the Bernoulli numbers and polynomials, and present several n...
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| Format: | Article |
| Language: | English |
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MDPI AG
2016-11-01
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| Series: | Mathematics |
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| Online Access: | http://www.mdpi.com/2227-7390/4/4/65 |
| _version_ | 1819162306971435008 |
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| author | Feng Qi Bai-Ni Guo |
| author_facet | Feng Qi Bai-Ni Guo |
| author_sort | Feng Qi |
| collection | DOAJ |
| description | In the paper, the authors recall some known determinantal expressions in terms of the Hessenberg determinants for the Bernoulli numbers and polynomials, find alternative determinantal expressions in terms of the Hessenberg determinants for the Bernoulli numbers and polynomials, and present several new recurrence relations for the Bernoulli numbers and polynomials. |
| first_indexed | 2024-12-22T17:26:09Z |
| format | Article |
| id | doaj.art-3d44291116ce41d9939ecd1c84d34ed7 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-22T17:26:09Z |
| publishDate | 2016-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-3d44291116ce41d9939ecd1c84d34ed72022-12-21T18:18:42ZengMDPI AGMathematics2227-73902016-11-01446510.3390/math4040065math4040065Some Determinantal Expressions and Recurrence Relations of the Bernoulli PolynomialsFeng Qi0Bai-Ni Guo1Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454010, ChinaSchool of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, Henan, ChinaIn the paper, the authors recall some known determinantal expressions in terms of the Hessenberg determinants for the Bernoulli numbers and polynomials, find alternative determinantal expressions in terms of the Hessenberg determinants for the Bernoulli numbers and polynomials, and present several new recurrence relations for the Bernoulli numbers and polynomials.http://www.mdpi.com/2227-7390/4/4/65determinantal expressionrecurrence relationBernoulli numberBernoulli polynomialHessenberg determinant |
| spellingShingle | Feng Qi Bai-Ni Guo Some Determinantal Expressions and Recurrence Relations of the Bernoulli Polynomials Mathematics determinantal expression recurrence relation Bernoulli number Bernoulli polynomial Hessenberg determinant |
| title | Some Determinantal Expressions and Recurrence Relations of the Bernoulli Polynomials |
| title_full | Some Determinantal Expressions and Recurrence Relations of the Bernoulli Polynomials |
| title_fullStr | Some Determinantal Expressions and Recurrence Relations of the Bernoulli Polynomials |
| title_full_unstemmed | Some Determinantal Expressions and Recurrence Relations of the Bernoulli Polynomials |
| title_short | Some Determinantal Expressions and Recurrence Relations of the Bernoulli Polynomials |
| title_sort | some determinantal expressions and recurrence relations of the bernoulli polynomials |
| topic | determinantal expression recurrence relation Bernoulli number Bernoulli polynomial Hessenberg determinant |
| url | http://www.mdpi.com/2227-7390/4/4/65 |
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