<?xml version="1.0" encoding="UTF-8"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-10-23T14:58:51Z</responseDate><request verb="GetRecord" identifier="oai:gumushane-rdlopen.rawdatalibrary.net:gumushane/11305" metadataPrefix="oai_dc">https://gumushane-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:gumushane-rdlopen.rawdatalibrary.net:gumushane/11305</identifier><datestamp>2026-10-22T11:34:44Z</datestamp><setSpec>openaire</setSpec><setSpec>com_gumushane_10000</setSpec><setSpec>col_gumushane_10001</setSpec><setSpec>com_gumushane_10007</setSpec><setSpec>col_gumushane_10171</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:title>The solutions of multiplicative Hermite differential equation and multiplicative Hermite polynomials</dc:title><dc:creator>Yalçın, Numan</dc:creator><dc:subject>Multiplicative derivative</dc:subject><dc:subject>Multiplicative differential equation</dc:subject><dc:subject>Multiplicative Hermite differential equation</dc:subject><dc:subject>Multiplicative Hermite polynomials</dc:subject><dc:subject>Multiplicative ordinary point</dc:subject><dc:description>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.</dc:description><dc:publisher>Springer-Verlag Italia s.r.l.</dc:publisher><dc:date>2021</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/gumushane/11305</dc:identifier><dc:identifier>https://doi.org/10.1007/s12215-019-00474-5</dc:identifier><dc:identifier>0009-725X</dc:identifier><dc:language>en</dc:language><dc:relation>Rendiconti del Circolo Matematico di Palermo</dc:relation><dc:rights>info:eu-repo/semantics/closedAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://gumushane-rdlopen.rawdatalibrary.net/tr/items/gumushane/11305</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>