A NEW EXTENSION OF THE HURWITZ- LERCH ZETA FUNCTION AND PROPERTIES USING THE EXTENDED BETA FUNCTION \(B_{p,q}^{(ρ,σ,τ)}(x,y)\)
The purpose of present paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function. Some recurrence relations, generating relations and integral representations are derived for that new extension.
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| Format: | Article |
| Language: | Arabic |
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university of Aden
2020-09-01
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| Series: | مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة |
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| Online Access: | https://ejua.net/index.php/EJUA-BA/article/view/33 |
| _version_ | 1830402258860244992 |
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| author | Salem Saleh Barahmah |
| author_facet | Salem Saleh Barahmah |
| author_sort | Salem Saleh Barahmah |
| collection | DOAJ |
| description | The purpose of present paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function. Some recurrence relations, generating relations and integral representations are derived for that new extension. |
| first_indexed | 2024-12-20T16:50:37Z |
| format | Article |
| id | doaj.art-27038a432d1c42598986931c5b503f4a |
| institution | Directory Open Access Journal |
| issn | 2708-0684 |
| language | Arabic |
| last_indexed | 2024-12-20T16:50:37Z |
| publishDate | 2020-09-01 |
| publisher | university of Aden |
| record_format | Article |
| series | مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة |
| spelling | doaj.art-27038a432d1c42598986931c5b503f4a2022-12-21T19:32:49Zarauniversity of Adenمجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة2708-06842020-09-011312012710.47372/ejua-ba.2020.3.3333A NEW EXTENSION OF THE HURWITZ- LERCH ZETA FUNCTION AND PROPERTIES USING THE EXTENDED BETA FUNCTION \(B_{p,q}^{(ρ,σ,τ)}(x,y)\)Salem Saleh Barahmah0Department of Mathematics, Faculty of Education-Aden, Aden University, Aden, Yemen.The purpose of present paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function. Some recurrence relations, generating relations and integral representations are derived for that new extension.https://ejua.net/index.php/EJUA-BA/article/view/33extended beta function, extended hurwitz-lerch zeta function, recurrence relation, generating relation, integral representation. |
| spellingShingle | Salem Saleh Barahmah A NEW EXTENSION OF THE HURWITZ- LERCH ZETA FUNCTION AND PROPERTIES USING THE EXTENDED BETA FUNCTION \(B_{p,q}^{(ρ,σ,τ)}(x,y)\) مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة extended beta function, extended hurwitz-lerch zeta function, recurrence relation, generating relation, integral representation. |
| title | A NEW EXTENSION OF THE HURWITZ- LERCH ZETA FUNCTION AND PROPERTIES USING THE EXTENDED BETA FUNCTION \(B_{p,q}^{(ρ,σ,τ)}(x,y)\) |
| title_full | A NEW EXTENSION OF THE HURWITZ- LERCH ZETA FUNCTION AND PROPERTIES USING THE EXTENDED BETA FUNCTION \(B_{p,q}^{(ρ,σ,τ)}(x,y)\) |
| title_fullStr | A NEW EXTENSION OF THE HURWITZ- LERCH ZETA FUNCTION AND PROPERTIES USING THE EXTENDED BETA FUNCTION \(B_{p,q}^{(ρ,σ,τ)}(x,y)\) |
| title_full_unstemmed | A NEW EXTENSION OF THE HURWITZ- LERCH ZETA FUNCTION AND PROPERTIES USING THE EXTENDED BETA FUNCTION \(B_{p,q}^{(ρ,σ,τ)}(x,y)\) |
| title_short | A NEW EXTENSION OF THE HURWITZ- LERCH ZETA FUNCTION AND PROPERTIES USING THE EXTENDED BETA FUNCTION \(B_{p,q}^{(ρ,σ,τ)}(x,y)\) |
| title_sort | new extension of the hurwitz lerch zeta function and properties using the extended beta function b p q ρ σ τ x y |
| topic | extended beta function, extended hurwitz-lerch zeta function, recurrence relation, generating relation, integral representation. |
| url | https://ejua.net/index.php/EJUA-BA/article/view/33 |
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