New Expansion Formulas for a Family of the λ-Generalized Hurwitz-Lerch Zeta Functions
We derive several new expansion formulas for a new family of the λ-generalized Hurwitz-Lerch zeta functions which were introduced by Srivastava (2014). These expansion formulas are obtained by making use of some important fractional calculus theorems such as the generalized Leibniz rules, the Taylor...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2014/131067 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832548828622880768 |
|---|---|
| author | H. M. Srivastava Sébastien Gaboury |
| author_facet | H. M. Srivastava Sébastien Gaboury |
| author_sort | H. M. Srivastava |
| collection | DOAJ |
| description | We derive several new expansion formulas for a new family of the λ-generalized Hurwitz-Lerch zeta functions which were introduced by Srivastava (2014). These expansion formulas are obtained by making use of some important
fractional calculus theorems such as the generalized Leibniz rules, the Taylor-like expansions in terms of different functions, and the
generalized chain rule. Several (known or new) special cases are also considered. |
| format | Article |
| id | doaj-art-8690545f73604de087ace5da49b576d4 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8690545f73604de087ace5da49b576d42025-02-03T06:13:00ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252014-01-01201410.1155/2014/131067131067New Expansion Formulas for a Family of the λ-Generalized Hurwitz-Lerch Zeta FunctionsH. M. Srivastava0Sébastien Gaboury1Department of Mathematics and Statistics, University of Victoria, Victoria, BC, V8W 3R4, CanadaDepartment of Mathematics and Computer Science, University of Québec at Chicoutimi, Chicoutimi, QC, G7H 2B1, CanadaWe derive several new expansion formulas for a new family of the λ-generalized Hurwitz-Lerch zeta functions which were introduced by Srivastava (2014). These expansion formulas are obtained by making use of some important fractional calculus theorems such as the generalized Leibniz rules, the Taylor-like expansions in terms of different functions, and the generalized chain rule. Several (known or new) special cases are also considered.http://dx.doi.org/10.1155/2014/131067 |
| spellingShingle | H. M. Srivastava Sébastien Gaboury New Expansion Formulas for a Family of the λ-Generalized Hurwitz-Lerch Zeta Functions International Journal of Mathematics and Mathematical Sciences |
| title | New Expansion Formulas for a Family of the λ-Generalized Hurwitz-Lerch Zeta Functions |
| title_full | New Expansion Formulas for a Family of the λ-Generalized Hurwitz-Lerch Zeta Functions |
| title_fullStr | New Expansion Formulas for a Family of the λ-Generalized Hurwitz-Lerch Zeta Functions |
| title_full_unstemmed | New Expansion Formulas for a Family of the λ-Generalized Hurwitz-Lerch Zeta Functions |
| title_short | New Expansion Formulas for a Family of the λ-Generalized Hurwitz-Lerch Zeta Functions |
| title_sort | new expansion formulas for a family of the λ generalized hurwitz lerch zeta functions |
| url | http://dx.doi.org/10.1155/2014/131067 |
| work_keys_str_mv | AT hmsrivastava newexpansionformulasforafamilyofthelgeneralizedhurwitzlerchzetafunctions AT sebastiengaboury newexpansionformulasforafamilyofthelgeneralizedhurwitzlerchzetafunctions |