On q-Analogue and (p,q)–Analogue of Gamma and Beta Functions
| 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.department | Eastern Mediterranean University, Faculty of Arts and Sciences, Department of Mathematics | en_US |
| 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.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 | https://hdl.handle.net/11129/4781 | |
| dc.language.iso | en | |
| dc.publisher | Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ) | en_US |
| dc.relation.publicationcategory | Tez | |
| 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 | Master Thesis |
