𝑞-Analogues of the Bernoulli and Genocchi Polynomials and the Srivastava-Pintér Addition Theorems
The main purpose of this paper is to introduce and investigate a new class of generalized Bernoulli and Genocchi polynomials based on the 𝑞-integers. The 𝑞-analogues of well-known formulas are derived. The 𝑞-analogue of the Srivastava-Pintér addition theorem is obtained.
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/169348 |
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| author | N. I. Mahmudov |
| author_facet | N. I. Mahmudov |
| author_sort | N. I. Mahmudov |
| collection | DOAJ |
| description | The main purpose of this paper is to introduce and investigate a new class of generalized Bernoulli and Genocchi
polynomials based on the 𝑞-integers. The 𝑞-analogues of well-known formulas are derived. The 𝑞-analogue
of the Srivastava-Pintér addition theorem is obtained. |
| format | Article |
| id | doaj-art-5df6912b666140a99bc72bf0f4626e17 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-5df6912b666140a99bc72bf0f4626e172025-08-20T02:06:03ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/169348169348𝑞-Analogues of the Bernoulli and Genocchi Polynomials and the Srivastava-Pintér Addition TheoremsN. I. Mahmudov0Eastern Mediterranean University, Gazimagusa, TRNC, Mersin 10, TurkeyThe main purpose of this paper is to introduce and investigate a new class of generalized Bernoulli and Genocchi polynomials based on the 𝑞-integers. The 𝑞-analogues of well-known formulas are derived. The 𝑞-analogue of the Srivastava-Pintér addition theorem is obtained.http://dx.doi.org/10.1155/2012/169348 |
| spellingShingle | N. I. Mahmudov 𝑞-Analogues of the Bernoulli and Genocchi Polynomials and the Srivastava-Pintér Addition Theorems Discrete Dynamics in Nature and Society |
| title | 𝑞-Analogues of the Bernoulli and Genocchi Polynomials and the Srivastava-Pintér Addition Theorems |
| title_full | 𝑞-Analogues of the Bernoulli and Genocchi Polynomials and the Srivastava-Pintér Addition Theorems |
| title_fullStr | 𝑞-Analogues of the Bernoulli and Genocchi Polynomials and the Srivastava-Pintér Addition Theorems |
| title_full_unstemmed | 𝑞-Analogues of the Bernoulli and Genocchi Polynomials and the Srivastava-Pintér Addition Theorems |
| title_short | 𝑞-Analogues of the Bernoulli and Genocchi Polynomials and the Srivastava-Pintér Addition Theorems |
| title_sort | 𝑞 analogues of the bernoulli and genocchi polynomials and the srivastava pinter addition theorems |
| url | http://dx.doi.org/10.1155/2012/169348 |
| work_keys_str_mv | AT nimahmudov qanaloguesofthebernoulliandgenocchipolynomialsandthesrivastavapinteradditiontheorems |