A study on the Epstein-Hubbell generalized elliptic-type integral using residue theory

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A study on the Epstein-Hubbell generalized elliptic-type integral using residue theory

dc.contributor.buuauthor	Cengiz, Ahmet
dc.contributor.department	Fen Edebiyat Fakültesi
dc.contributor.department	Fizik Bölümü
dc.contributor.scopusid	18534116600
dc.date.accessioned	2021-10-06T08:03:37Z
dc.date.available	2021-10-06T08:03:37Z
dc.date.issued	1997
dc.description.abstract	In this study, a new solution method for Epstein-Hubbell generalized elliptic-type integral is developed and complex variable residue theory is used to arrive at the self-truncating series associated with this integral. By means of this method, we determined that only a closed term, C-j(j) = 2(-2n)(2n/n) = 2(-2n)(2n)!/(n!)(2), n = 0,1,2,... contributes to the obtained series.
dc.identifier.citation	Cengiz, A. (1997). "A study on the Epstein-Hubbell generalized elliptic-type integral using residue theory". Applied Mathematics and Computation, 83(1), 19-26.
dc.identifier.doi	10.1016/S0096-3003(96)00041-0
dc.identifier.endpage	26
dc.identifier.issn	0096-3003
dc.identifier.issue	1
dc.identifier.scopus	2-s2.0-1542361043
dc.identifier.startpage	19
dc.identifier.uri	https://doi.org/10.1016/S0096-3003(96)00041-0
dc.identifier.uri	https://www.sciencedirect.com/science/article/pii/S0096300396000410
dc.identifier.uri	http://hdl.handle.net/11452/22246
dc.identifier.volume	83
dc.identifier.wos	A1997WM56800004
dc.indexed.wos	SCIE
dc.language.iso	en
dc.publisher	Elsevier Science
dc.relation.journal	Applied Mathematics and Computation
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	Mathematics
dc.subject	Irrational definite integrals
dc.subject.scopus	Solid Angle; Recursive Functions; Hypergeometric Series
dc.subject.wos	Mathematics, applied
dc.title	A study on the Epstein-Hubbell generalized elliptic-type integral using residue theory
dc.type	Article
dc.wos.quartile	Q4
dspace.entity.type	Publication
local.contributor.department	Fen Edebiyat Fakültesi/Fizik Bölümü
local.indexed.at	Scopus
local.indexed.at	WOS