Multiplicative Cauchy-Euler and Legendre Differential Equation

Yalçın, Numan; Çelik, Ercan

doi:10.17714/gumusfenbil.451718

Multiplicative Cauchy-Euler and Legendre Differential Equation

MakaleAçık ErişimScopus SJRQ4

Özet

In this study, taking properties of Cauchy-Euler differential equation and Legendre differential equation, which are particular instances of linear differential equations with variable coefficients in classical analysis, as a basis, definitions of multiplicative Cauchy-Euler differential equation and multiplicative Legendre differential equation , which are types of multiplicative linear differential equations in multiplicative analysis, are given and also their solutions are investigated. In addition, multiplicative reduction of order method is given.

Anahtar Kelimeler

Matematik

RDL Kalıcı Bağlantı (PID)

https://rdlopen.rawdatalibrary.net/r/gumushane/18041Resmi atıflarda kullanılan kalıcı adres

DOI

https://doi.org/10.17714/gumusfenbil.451718Yayıncı resmi DOI adresi

Atıflar

OpenAlex: 5
TR Dizin: 5

Her kaynağın kendi saydığı toplam atıf; aktarım ve zenginleştirme sırasında alındı.

Tam Kayıt

Alan	Değer	Dil
dc.contributor.author	Yalçın, Numan
dc.contributor.author	Çelik, Ercan
dc.date.accessioned	2026-10-22T10:39:31.578494648Z
dc.date.available	2026-10-22T10:39:31.578494648Z
dc.date.issued	2019
dc.description.abstract	In this study, taking properties of Cauchy-Euler differential equation and Legendre differential equation, which are particular instances of linear differential equations with variable coefficients in classical analysis, as a basis, definitions of multiplicative Cauchy-Euler differential equation and multiplicative Legendre differential equation , which are types of multiplicative linear differential equations in multiplicative analysis, are given and also their solutions are investigated. In addition, multiplicative reduction of order method is given.
dc.identifier.doi	10.17714/gumusfenbil.451718
dc.identifier.eissn	2146-538X
dc.identifier.endpage	382
dc.identifier.issue	3
dc.identifier.startpage	373
dc.identifier.uri	https://rdlopen.rawdatalibrary.net/r/gumushane/18041
dc.identifier.volume	9
dc.language.iso	tr
dc.relation.ispartof	Gümüşhane Üniversitesi Fen Bilimleri Dergisi
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Matematik
dc.title	Multiplicative Cauchy-Euler and Legendre Differential Equation
dc.type	Article
dspace.entity.type	Publication
rdl.citation.openalex	5
rdl.citation.trdizin	5
rdl.oa.status	gold
rdl.oa.url	https://dergipark.org.tr/tr/download/article-file/758356
rdl.scopus.quartile	Q4
rdl.source.index	TRDIZIN