A Study on Harmonic Univalent Function with (p, q)-Calculus and Introducing (p, q)-Poisson Distribution Series

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dc.contributor.authorCanbulat, A.
dc.contributor.authorSakar, F. M.
dc.date.accessioned2024-04-24T17:20:24Z
dc.date.available2024-04-24T17:20:24Z
dc.date.issued2023
dc.departmentDicle Üniversitesien_US
dc.description.abstractLooking at the history of fractional derivatives, it can be clearly seen that various generalizations have been presented for it regularly by researchers. Perhaps, in the meantime, the derivative of the q-fraction has received more attention due to the provision of discrete space and the entry of the computer into the computing scene. But recently, a new generalization has been presented for the q-derivative, namely (p, q)-derivative. In this research, we intend to define the (p, q)-Poisson distribution of harmonic functions by using (p, q)-derivatives. Some numerical result provided for (p, q)-analogue to make our presentation more objective. Also, we defined (p, q)-analogue of exponential function, then we use it to express the (p, q)-Poisson distribution. By that, we will check the conditions of Poisson distribution for two subclasses of harmonic univalent functions.en_US
dc.description.sponsorshipDicle University Scientific Research Projects Coordination Unit [IIBF.21.001]en_US
dc.description.sponsorshipThis research has been supported by Dicle University Scientific Research Projects Coordination Unit. Project Number: IIBF.21.001.en_US
dc.identifier.doi10.30495/JME.2023.2654
dc.identifier.issn1735-8299
dc.identifier.issue4en_US
dc.identifier.urihttps://doi.org/10.30495/JME.2023.2654
dc.identifier.urihttps://hdl.handle.net/11468/19021
dc.identifier.volume17en_US
dc.identifier.wosWOS:001125669700005
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoenen_US
dc.publisherIslamic Azad Univ, Shiraz Branchen_US
dc.relation.ispartofJournal of Mathematical Extension
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject(P, Q)-Calculusen_US
dc.subject(P, Q)-Poisson Distributionen_US
dc.subject(P, Q)-Harmonic Functionen_US
dc.subjectComplex Harmonic Functionen_US
dc.titleA Study on Harmonic Univalent Function with (p, q)-Calculus and Introducing (p, q)-Poisson Distribution Seriesen_US
dc.titleA Study on Harmonic Univalent Function with (p, q)-Calculus and Introducing (p, q)-Poisson Distribution Series
dc.typeArticleen_US

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