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The solutions of multiplicative Hermite differential equation and multiplicative Hermite polynomials

MakaleYalnız künyeScopus SJRQ3

Özet

In this work, we give the power series solutions around an ordinary point, in the case of variable coefficients, homogeneous multiplicative differential equations of 2nd order. Further, we introduce the multiplicative Hermite differential equations, multiplicative Hermite polynomials and basic properties of these polynomials.

Anahtar Kelimeler

Multiplicative derivativeMultiplicative differential equationMultiplicative Hermite differential equationMultiplicative Hermite polynomialsMultiplicative ordinary point
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/11305Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1007/s12215-019-00474-5Yayıncı resmi DOI adresi
İndeks kayıtları
ScopusScopusWeb of ScienceWeb of Science
Kaydın indeks veri tabanlarındaki sayfası (aktarımda alınan kayıt numarasıyla). Erişim, indeksin kendi koşullarına bağlıdır.
Atıflar
Scopus
17
WoS
18
OpenAlex
23
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorYalçın, Numan
dc.date.accessioned2026-10-22T10:18:53.029310260Z
dc.date.available2026-10-22T10:18:53.029310260Z
dc.date.issued2021
dc.description.abstractIn this work, we give the power series solutions around an ordinary point, in the case of variable coefficients, homogeneous multiplicative differential equations of 2nd order. Further, we introduce the multiplicative Hermite differential equations, multiplicative Hermite polynomials and basic properties of these polynomials.
dc.identifier.doi10.1007/s12215-019-00474-5
dc.identifier.eissn1973-4409
dc.identifier.endpage21
dc.identifier.issn0009-725X
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85077703602
dc.identifier.startpage9
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/11305
dc.identifier.volume70
dc.identifier.wosWOS:000548800600001
dc.language.isoen
dc.publisherSpringer-Verlag Italia s.r.l.
dc.relation.ispartofRendiconti del Circolo Matematico di Palermo
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectMultiplicative derivative
dc.subjectMultiplicative differential equation
dc.subjectMultiplicative Hermite differential equation
dc.subjectMultiplicative Hermite polynomials
dc.subjectMultiplicative ordinary point
dc.subject.classificationMathematics
dc.subject.otherCALCULUS
dc.titleThe solutions of multiplicative Hermite differential equation and multiplicative Hermite polynomials
dc.typeArticle
rdl.citation.openalex23
rdl.citation.scopus17
rdl.citation.wos18
rdl.oa.statusclosed
rdl.scopus.quartileQ3
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)