Certain Extension of the Hurwitz-Lerch Zeta Function and its Properties
The main object of this paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function given in [1]. Some recurrence relations, generating functions and integral representations are derived for that new extension.
| Main Authors: | , |
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| Format: | Article |
| Language: | Arabic |
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university of Aden
2020-03-01
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| Series: | مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة |
| Subjects: | |
| Online Access: | https://ejua.net/index.php/EJUA-BA/article/view/9 |
| _version_ | 1818574993547591680 |
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| author | Ahmed Ali Al-Gonah Waleed Khadher Mohammed |
| author_facet | Ahmed Ali Al-Gonah Waleed Khadher Mohammed |
| author_sort | Ahmed Ali Al-Gonah |
| collection | DOAJ |
| description | The main object of this paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function given in [1]. Some recurrence relations, generating functions and integral representations are derived for that new extension. |
| first_indexed | 2024-12-15T00:34:01Z |
| format | Article |
| id | doaj.art-0bc7c023f1f54ac181a3f08cef4365f0 |
| institution | Directory Open Access Journal |
| issn | 2708-0684 |
| language | Arabic |
| last_indexed | 2024-12-15T00:34:01Z |
| publishDate | 2020-03-01 |
| publisher | university of Aden |
| record_format | Article |
| series | مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة |
| spelling | doaj.art-0bc7c023f1f54ac181a3f08cef4365f02022-12-21T22:41:51Zarauniversity of Adenمجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة2708-06842020-03-011139489Certain Extension of the Hurwitz-Lerch Zeta Function and its PropertiesAhmed Ali Al-Gonah0Waleed Khadher Mohammed1Department of Mathematics, Faculty of Science, Aden University, Aden, YemenDepartment of Mathematics, Faculty of Education-Yafea, Aden University, Aden, YemenThe main object of this paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function given in [1]. Some recurrence relations, generating functions and integral representations are derived for that new extension.https://ejua.net/index.php/EJUA-BA/article/view/9extended beta function, extended hurwitz-lerch zeta function, recurrence relation, generating functions, integral representation. |
| spellingShingle | Ahmed Ali Al-Gonah Waleed Khadher Mohammed Certain Extension of the Hurwitz-Lerch Zeta Function and its Properties مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة extended beta function, extended hurwitz-lerch zeta function, recurrence relation, generating functions, integral representation. |
| title | Certain Extension of the Hurwitz-Lerch Zeta Function and its Properties |
| title_full | Certain Extension of the Hurwitz-Lerch Zeta Function and its Properties |
| title_fullStr | Certain Extension of the Hurwitz-Lerch Zeta Function and its Properties |
| title_full_unstemmed | Certain Extension of the Hurwitz-Lerch Zeta Function and its Properties |
| title_short | Certain Extension of the Hurwitz-Lerch Zeta Function and its Properties |
| title_sort | certain extension of the hurwitz lerch zeta function and its properties |
| topic | extended beta function, extended hurwitz-lerch zeta function, recurrence relation, generating functions, integral representation. |
| url | https://ejua.net/index.php/EJUA-BA/article/view/9 |
| work_keys_str_mv | AT ahmedalialgonah certainextensionofthehurwitzlerchzetafunctionanditsproperties AT waleedkhadhermohammed certainextensionofthehurwitzlerchzetafunctionanditsproperties |