A new generalization of the Riemann zeta function and its difference equation
<p>Abstract</p> <p>We have introduced a new generalization of the Riemann zeta function. A special case of our generalization converges locally uniformly to the Riemann zeta function in the critical strip. It approximates the trivial and non-trivial zeros of the Riemann zeta functi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-01-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://www.advancesindifferenceequations.com/content/2011/1/20 |
| _version_ | 1811287392896679936 |
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| author | Qadir Asghar Tassaddiq Asifa Chaudhry Muhammad |
| author_facet | Qadir Asghar Tassaddiq Asifa Chaudhry Muhammad |
| author_sort | Qadir Asghar |
| collection | DOAJ |
| description | <p>Abstract</p> <p>We have introduced a new generalization of the Riemann zeta function. A special case of our generalization converges locally uniformly to the Riemann zeta function in the critical strip. It approximates the trivial and non-trivial zeros of the Riemann zeta function. Some properties of the generalized Riemann zeta function are investigated. The relation between the function and the general Hurwitz zeta function is exploited to deduce new identities.</p> |
| first_indexed | 2024-04-13T03:17:46Z |
| format | Article |
| id | doaj.art-a352dab49d5141c682950718e3858431 |
| institution | Directory Open Access Journal |
| issn | 1687-1839 1687-1847 |
| language | English |
| last_indexed | 2024-04-13T03:17:46Z |
| publishDate | 2011-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-a352dab49d5141c682950718e38584312022-12-22T03:04:52ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472011-01-012011120A new generalization of the Riemann zeta function and its difference equationQadir AsgharTassaddiq AsifaChaudhry Muhammad<p>Abstract</p> <p>We have introduced a new generalization of the Riemann zeta function. A special case of our generalization converges locally uniformly to the Riemann zeta function in the critical strip. It approximates the trivial and non-trivial zeros of the Riemann zeta function. Some properties of the generalized Riemann zeta function are investigated. The relation between the function and the general Hurwitz zeta function is exploited to deduce new identities.</p>http://www.advancesindifferenceequations.com/content/2011/1/20Riemann zeta functionHurwitz zeta functionPolylogarithm functionExtended Fermi-DiracBose-Einstein |
| spellingShingle | Qadir Asghar Tassaddiq Asifa Chaudhry Muhammad A new generalization of the Riemann zeta function and its difference equation Advances in Difference Equations Riemann zeta function Hurwitz zeta function Polylogarithm function Extended Fermi-Dirac Bose-Einstein |
| title | A new generalization of the Riemann zeta function and its difference equation |
| title_full | A new generalization of the Riemann zeta function and its difference equation |
| title_fullStr | A new generalization of the Riemann zeta function and its difference equation |
| title_full_unstemmed | A new generalization of the Riemann zeta function and its difference equation |
| title_short | A new generalization of the Riemann zeta function and its difference equation |
| title_sort | new generalization of the riemann zeta function and its difference equation |
| topic | Riemann zeta function Hurwitz zeta function Polylogarithm function Extended Fermi-Dirac Bose-Einstein |
| url | http://www.advancesindifferenceequations.com/content/2011/1/20 |
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