Complex Partial Differential Equations

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dc.authorscopusid24402879000
dc.authorscopusid6603631794
dc.authorscopusid6701476307
dc.authorscopusid55749955900
dc.contributor.authorAksoy, Ü.
dc.contributor.authorBegehr, H.
dc.contributor.authorÇelebi, A.
dc.contributor.authorShupeyeva, B.
dc.date.accessioned2025-05-05T19:06:18Z
dc.date.available2025-05-05T19:06:18Z
dc.date.issued2025
dc.departmentAtılım Universityen_US
dc.department-temp[Aksoy Ü.] Atılım University, Ankara, Turkey; [Begehr H.] Mathematisches Institut, Berlin, Germany; [Çelebi A.] Yeditepe University, Istanbul, Turkey; [Shupeyeva B.] Nazarbayev University, Nur-Sultan, Kazakhstanen_US
dc.description.abstractThe Schwarz and iterated Dirichlet boundary-value problems are reported on for the polyanalytic operator in certain plane domains having a harmonic Green function. Hybrid polyharmonic Green functions are reviewed upon which open a variety of boundary-value problems for the polyharmonic operator. This topic is far from being complete. The higher the order of the polyharmonic operator the richer is the theory of related hybrid Green functions: they are constructed by continued convoluting harmonic Green, Neumann, Robin functions also incorporating polyharmonic Green–Almansi functions. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2025.en_US
dc.identifier.doi10.1007/s10958-025-07646-y
dc.identifier.endpage883en_US
dc.identifier.issn1072-3374
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-105001069350
dc.identifier.scopusqualityQ4
dc.identifier.startpage867en_US
dc.identifier.urihttps://doi.org/10.1007/s10958-025-07646-y
dc.identifier.urihttps://hdl.handle.net/20.500.14411/10567
dc.identifier.volume287en_US
dc.identifier.wosqualityN/A
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofJournal of Mathematical Sciences (United States)en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject30E25en_US
dc.subject30G20en_US
dc.subject31A10en_US
dc.subject31A25en_US
dc.subject35J40en_US
dc.subjectAdmissible Domainen_US
dc.subjectCauchy–Schwarz–Pompeiu Representationen_US
dc.subjectDirichlet Boundary-Value Problemen_US
dc.subjectGreen Functionen_US
dc.subjectGreen–Almansi Functionen_US
dc.subjectPolyanalytic Operatoren_US
dc.subjectPolyharmonic Boundary-Value Problemen_US
dc.subjectPolyharmonic Hybrid Green Functionen_US
dc.subjectRing Domainen_US
dc.subjectRiquier Boundary-Value Problemen_US
dc.subjectSchwarz Boundary-Value Problemen_US
dc.titleComplex Partial Differential Equationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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