On the Pell-Eisenstein Series of Power M

dc.authorscopusid 25925069700
dc.authorscopusid 57224960892
dc.authorscopusid 57386689500
dc.authorscopusid 57615497800
dc.contributor.author Inam, I.
dc.contributor.author Özkan, E.
dc.contributor.author Özkaya, Z.D.
dc.contributor.author Uysal, M.
dc.date.accessioned 2025-05-10T16:54:03Z
dc.date.available 2025-05-10T16:54:03Z
dc.date.issued 2022
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp Inam I., Bilecik Seyh Edebali University, Faculty of Arts and Sciences, Department of Mathematics, Bilecik, 11200, Turkey; Özkan E., Erzincan Binali Yıldırım University, Faculty of Arts and Sciences, Department of Mathematics, Erzincan, 24002, Turkey; Özkaya Z.D., Van Yuzuncu Yıl University, Muradiye Vocational School, Van, 65080, Turkey; Uysal M., Erzincan Binali Yıldırım University, Faculty of Arts and Sciences, Department of Mathematics, Erzincan, 24002, Turkey en_US
dc.description.abstract In this paper, we introduce the Pell-Eisenstein Series which are obtained by Pell numbers and they are a new class of Eisenstein-type series. First we see that they are well-defined and then we prove that the Pell-Eisenstein series satisfies some functional equations. Proofs are based on properties of Pell numbers and calculations. © 2022, Transilvania University of Brasov 1. All rights reserved. en_US
dc.identifier.doi 10.31926/but.mif.2022.2.64.1.6
dc.identifier.endpage 82 en_US
dc.identifier.issn 2810-2029
dc.identifier.issue 1 en_US
dc.identifier.scopus 2-s2.0-85134003304
dc.identifier.scopusquality Q4
dc.identifier.startpage 77 en_US
dc.identifier.uri https://doi.org/10.31926/but.mif.2022.2.64.1.6
dc.identifier.uri https://hdl.handle.net/20.500.14720/3001
dc.identifier.volume 2 en_US
dc.identifier.wosquality N/A
dc.language.iso en en_US
dc.publisher Transilvania University of Brasov 1 en_US
dc.relation.ispartof Bulletin of the Transilvania University of Brasov, Series III: Mathematics and Computer Science en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Eisenstein Series en_US
dc.subject Integer Partitions en_US
dc.subject Modular Forms en_US
dc.subject Pell Numbers en_US
dc.title On the Pell-Eisenstein Series of Power M en_US
dc.type Article en_US
dspace.entity.type Publication

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