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