Expansion formulas for an extended Hurwitz-Lerch zeta function obtained via fractional calculus

Simple item page
dc.contributor.authorSrivastava, H.M.
dc.contributor.authorGaboury, Sébastien
dc.contributor.authorBayad, Abdelmejid
dc.date.accessioned2015-05-22T16:51:13Z
dc.date.available2015-05-22T16:51:13Z
dc.date.copyright2014en_US
dc.date.issued2014-06-23
dc.descriptionSpringerOpenen_US
dc.description.abstractMotivated by the recent investigations of several authors, in this paper, we derive several new expansion formulas involving a generalized Hurwitz-Lerch zeta function introduced and studied recently by Srivastava et al. (Integral Transforms Spec. Funct. 22:487-506, 2011). These expansions are obtained by using some fractional calculus theorems such as the generalized Leibniz rules for the fractional derivatives and the Taylor-like expansions in terms of different functions. Several (known or new) special cases are also considered. MSC: Primary 11M25; 11M35; 26A33; secondary 33C05; 33C60en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationSrivastava et al.: Expansion formulas for an extended Hurwitz-Lerch zeta function obtained via fractional calculus. Advances in Difference Equations 2014 2014:169.en_US
dc.identifier.urihttp://www.advancesindifferenceequations.com/content/2014/1/169
dc.identifier.urihttp://dx.doi.org/10.1186/1687-1847-2014-169
dc.identifier.urihttp://hdl.handle.net/1828/6195
dc.language.isoenen_US
dc.publisherAdvances in Difference Equationsen_US
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Canada*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/2.5/ca/*
dc.subjectfractional derivatives
dc.subjectgeneralized Taylor expansion
dc.subjectgeneralized Hurwitz-Lerch zeta functions
dc.subjectRiemann zeta function
dc.subjectLeibniz rules
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleExpansion formulas for an extended Hurwitz-Lerch zeta function obtained via fractional calculusen_US
dc.typeArticleen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Srivastava_Hari_AdvancesDifferenceEquations_2014.pdf
Size:
328.16 KB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.74 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Faculty and Staff Publications
 
University of Victoria Libraries

We acknowledge and respect the Lək̓ʷəŋən (Songhees and Esquimalt) Peoples on whose territory the university stands, and the Lək̓ʷəŋən and W̱SÁNEĆ Peoples whose historical relationships with the land continue to this day.