Computing Hankel Determinants Hm(2) of Dixon Elliptic Functions With Modulus α = 0 Using Regular C Fraction
| dc.contributor.author | Silambarasan, R. | |
| dc.contributor.author | Belgacem, F.B.M. | |
| dc.contributor.author | Nisar, K.S. | |
| dc.contributor.author | Baleanu, D. | |
| dc.date.accessioned | 2025-07-06T00:54:05Z | |
| dc.date.available | 2025-07-06T00:54:05Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | In this research paper Dixon elliptic functions (DEF) having modulus, α = 0, smN(x,0): N ≥ 1 smN(x,0)cm(x,0) and smN(x,0)cm(x,0): N ≥ 0 are expanded by Regular C fractions and generalized using the Sumudu transform. Then Hankel determinants Hm(2) of DEF are calculated without resort to Maclaurin's series. For this purpose Heliermann correspondence is applied to Regular C Fraction (RCF) coefficients. Higher order results are given using formal notation and compact form. Some known and previous results are proven and numerical examples given to check the validity in light of this paper's new findings. © (2025), (Cambridge Scientific Publishers). All rights reserved. | en_US |
| dc.identifier.issn | 1359-8678 | |
| dc.identifier.scopus | 2-s2.0-105008706524 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10282 | |
| dc.language.iso | en | en_US |
| dc.publisher | Cambridge Scientific Publishers | en_US |
| dc.relation.ispartof | Nonlinear Studies | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Dixon Elliptic Functions | en_US |
| dc.subject | Hankel Determinants | en_US |
| dc.subject | Regular C Fractions | en_US |
| dc.subject | Sumudu Transform | en_US |
| dc.subject | Three Term Recurrences | en_US |
| dc.title | Computing Hankel Determinants Hm(2) of Dixon Elliptic Functions With Modulus α = 0 Using Regular C Fraction | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 55453857800 | |
| gdc.author.scopusid | 16641829200 | |
| gdc.author.scopusid | 56715663200 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Silambarasan R.] Department of Information Technology, School of Information Technology and Engineering, Vellore Institute of Technology, Tamilnadu, Vellore, India; [Belgacem F.B.M.] Math Natural Sciences Dept., College of Engineering, International University of Science and Technology (IUK), Kuwait; [Nisar K.S.] Department of Mathematics, College of Science and Humanities, Prince Sattam bin Abdulaziz University, Alkharj, Al Kharj, 11942, Saudi Arabia; [Baleanu D.] Department of Mathematics, Cankaya University, Ankara, 06530, Turkey | en_US |
| gdc.description.endpage | 562 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 543 | en_US |
| gdc.description.volume | 32 | en_US |
| gdc.description.wosquality | N/A | |
| gdc.scopus.citedcount | 0 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |