On q-Analogue and (p,q)–Analogue of Gamma and Beta Functions


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dc.contributor.advisor Mahmudov, Nazım
dc.contributor.author Al-Khateeb, Areen Saber
dc.date.accessioned 2020-11-27T08:10:05Z
dc.date.available 2020-11-27T08:10:05Z
dc.date.issued 2017-01
dc.date.submitted 2017-02
dc.identifier.citation Al-Khateeb, Areen Saber. (2017). On q-Analogue and (p,q)–Analogue of Gamma and Beta Functions. Thesis (M.S.), Eastern Mediterranean University, Institute of Graduate Studies and Research, Dept. of Mathematics, Famagusta: North Cyprus. en_US
dc.identifier.uri http://hdl.handle.net/11129/4781
dc.description Master of Science in Mathematics. Thesis (M.S.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2017. Supervisor: Prof. Dr. Nazım Mahmudov. en_US
dc.description.abstract ABSTRACT: In this study we discuss the integral representation of the q-analogue of two special functions, q-GF (gamma function) and q-BF (beta function). This discussion gives a very attractive q-constant.Also, we get the proof of the famous Jacobi triple product which contains the identity of Jacobi .After that we obtain a new proof for Ramanujan’s equation. Furthermore, we introduce a new generalization of gamma function and beta function that are: the (p,q) - GF and the (p,q) - BF. Finally, we obtain an equivalent definitions for (p,q) - analogue for GF and BF. Keywords: q-Gamma Function, q-Beta Function, (p,q)-Gamma Function, (p,q)-Beta Function. en_US
dc.description.abstract ÖZ: Bu çalışmada, iki özel fonksiyon, q-gama fonksiyonu ve q-beta fonksiyonunun integral formu tartışılmaktadır. Ayrıca, (p, q) -gamma fonksiyonun ve (p, q) - beta fonksiyonun yeni bir gama fonksiyonu ve beta fonksiyonu genellemesi elde edilmiştir. Son olarak, gama ve beta fonksiyonları için (p, q) - analog için eşdeğer tanımlar verilmiştir. Anahtar kelimeler: q- gama fonksiyonu, q-beta fonksiyonunun, (p, q) -gamma fonksiyonun, (p, q) -beta fonksiyonun. en_US
dc.language.iso eng en_US
dc.publisher Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ) en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Mathematics Department en_US
dc.subject q-Gamma Function, q-Beta Function, (p,q)-Gamma Function, (p,q)-Beta Function en_US
dc.title On q-Analogue and (p,q)–Analogue of Gamma and Beta Functions en_US
dc.type masterThesis en_US
dc.contributor.department Eastern Mediterranean University, Faculty of Arts and Sciences, Department of Mathematics en_US

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