<it>q</it>-Bernoulli numbers and <it>q</it>-Bernoulli polynomials revisited
<p>Abstract</p> <p>This paper performs a further investigation on the <it>q</it>-Bernoulli numbers and <it>q</it>-Bernoulli polynomials given by Acikgöz et al. (Adv Differ Equ, Article ID 951764, 9, 2010), some incorrect properties are revised. It i...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2011-01-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://www.advancesindifferenceequations.com/content/2011/1/33 |
| Summary: | <p>Abstract</p> <p>This paper performs a further investigation on the <it>q</it>-Bernoulli numbers and <it>q</it>-Bernoulli polynomials given by Acikgöz et al. (Adv Differ Equ, Article ID 951764, 9, 2010), some incorrect properties are revised. It is point out that the generating function for the <it>q</it>-Bernoulli numbers and polynomials is unreasonable. By using the theorem of Kim (Kyushu J Math <b>48</b>, 73-86, 1994) (see Equation 9), some new generating functions for the <it>q</it>-Bernoulli numbers and polynomials are shown.</p> <p><b>Mathematics Subject Classification (2000) </b>11B68, 11S40, 11S80</p> |
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| ISSN: | 1687-1839 1687-1847 |