The Multiple Gamma-Functions and the Log-Gamma Integrals
In this paper, which is a companion paper to [W], starting from the Euler integral which appears in a generalization of Jensen’s formula, we shall give a closed form for the integral of log . This enables us to locate the genesis of two new functions and considered by Srivastava and Choi. We consi...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/547459 |
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| author | X.-H. Wang Y.-L. Lu |
| author_facet | X.-H. Wang Y.-L. Lu |
| author_sort | X.-H. Wang |
| collection | DOAJ |
| description | In this paper, which is a companion paper to [W],
starting from the Euler integral which appears in a generalization
of Jensen’s formula, we shall give a closed form for the integral
of log . This enables us to locate the genesis of two new
functions and considered by Srivastava and Choi. We
consider the closely related function A(a) and the Hurwitz zeta function,
which render the task easier than working with the functions themselves. We shall also give a direct proof of Theorem
4.1, which is a consequence of [CKK, Corollary 1.1], though. |
| format | Article |
| id | doaj-art-80257ebef17341229a961e0ec8b63a43 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-80257ebef17341229a961e0ec8b63a432025-02-03T01:09:10ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/547459547459The Multiple Gamma-Functions and the Log-Gamma IntegralsX.-H. Wang0Y.-L. Lu1Xi’an International Studies University, Xi’an, Shaanxi 710128, ChinaDepartment Of Mathematics, Weinan Teachers’ College, Shaanxi 714000, ChinaIn this paper, which is a companion paper to [W], starting from the Euler integral which appears in a generalization of Jensen’s formula, we shall give a closed form for the integral of log . This enables us to locate the genesis of two new functions and considered by Srivastava and Choi. We consider the closely related function A(a) and the Hurwitz zeta function, which render the task easier than working with the functions themselves. We shall also give a direct proof of Theorem 4.1, which is a consequence of [CKK, Corollary 1.1], though.http://dx.doi.org/10.1155/2012/547459 |
| spellingShingle | X.-H. Wang Y.-L. Lu The Multiple Gamma-Functions and the Log-Gamma Integrals International Journal of Mathematics and Mathematical Sciences |
| title | The Multiple Gamma-Functions and the Log-Gamma Integrals |
| title_full | The Multiple Gamma-Functions and the Log-Gamma Integrals |
| title_fullStr | The Multiple Gamma-Functions and the Log-Gamma Integrals |
| title_full_unstemmed | The Multiple Gamma-Functions and the Log-Gamma Integrals |
| title_short | The Multiple Gamma-Functions and the Log-Gamma Integrals |
| title_sort | multiple gamma functions and the log gamma integrals |
| url | http://dx.doi.org/10.1155/2012/547459 |
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