<?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>2026-10-23T14:55:00Z</responseDate><request verb="GetRecord" identifier="oai:gumushane-rdlopen.rawdatalibrary.net:gumushane/14976" metadataPrefix="oai_dc">https://gumushane-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:gumushane-rdlopen.rawdatalibrary.net:gumushane/14976</identifier><datestamp>2026-10-22T11:37:34Z</datestamp><setSpec>openaire</setSpec><setSpec>driver</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>Finite difference approximations of first order derivatives of complex-valued functions</dc:title><dc:creator>Ashyralyyev, Charyyar</dc:creator><dc:creator>Öztürk, Beyza</dc:creator><dc:contributor>Ashyralyev, A.</dc:contributor><dc:contributor>Sadybekov, M.</dc:contributor><dc:contributor>Lukashov, A.</dc:contributor><dc:description>In this study, we generalize the well-known finite difference method to compute derivatives of a real-valued function to approximate complex derivatives wz and wz for complex-valued function w. Exploring different combinations of terms, we derive several approximations to compute the first order derivatives of complex-valued function. The first, second, third and fourth order of accuracy finite differences to calculate derivatives are studied. Error analysis in test examples are carried out by using Matlab program.</dc:description><dc:publisher>American Institute of Physics Inc.</dc:publisher><dc:date>2018</dc:date><dc:type>Conference Object</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/gumushane/14976</dc:identifier><dc:identifier>https://doi.org/10.1063/1.5049048</dc:identifier><dc:identifier>978-073541713-7</dc:identifier><dc:identifier>0094-243X</dc:identifier><dc:language>en</dc:language><dc:relation>AIP Conference Proceedings</dc:relation><dc:rights>info:eu-repo/semantics/openAccess</dc:rights><dc:type>info:eu-repo/semantics/conferenceObject</dc:type><dc:identifier>https://gumushane-rdlopen.rawdatalibrary.net/tr/items/gumushane/14976</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>