Exponential Operators and Hermite Type Polynomials
| dc.contributor.advisor | Özarslan, Mehmet Ali | |
| dc.contributor.author | Baran, Gizem | |
| dc.date.accessioned | 2016-09-30T08:00:04Z | |
| dc.date.available | 2016-09-30T08:00:04Z | |
| dc.date.issued | 2016-02 | |
| dc.date.submitted | 2016 | |
| dc.department | Eastern Mediterranean University, Faculty of Arts and Science, 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, 2016. Supervisor: Prof. Dr. Mehmet Ali Özarslan. | en_US |
| dc.description.abstract | This thesis consists of five Chapters. Chapter 1 is devoted to the Introduction. We investigate some basic properties of the exponential operators, in Chapter 2. Chapter 3, gives the proves of some exponential operator identities such as Weyl, Sack, Hausdorff and Crofton identities. In Chapter 4, we study the monomiality principle and its properties. Finally in the last chapter, as an application to Chapters 3 and 4, we investigate some properties of Hermite polynomials in two variables, Hermite-Kampe de Feriet polynomials, Laguerre polynomials in two variables and Hermite-Based Appell polynomials. Keywords: Exponential operators,Weyl, Sack, Hausdorff and Crofton identities, Monomiality principle,Hermite-Kampe de Feriet polynomials, Laguerre polynomials in two variables. | en_US |
| dc.description.abstract | ÖZ: Bu tez be¸s bölümden olu¸smaktadır. Birinci bölüm giri¸s kısmına ayrılmı¸stır. ˙Ikinci bölümde üstel operatörlerin bazı özellikleri incelenmi¸stir. Üçüncü bölümde Weyl, Sack, Hausdorff ve Crofton özde¸slikleri ispatlanmı¸stır. Dördüncü bölümde tek terimlilik prensipleri çalı¸sılmı¸stır. Son bölümde ise üçüncü ve dördüncü bölümün uygulamaları yapılmı¸s, iki de˘gi¸skenli Hermite polinomları, Hermite-Kampe de Feriet polinomları, iki de˘gi¸skenli Laguerre polinomları ve Hermite-Based Appell polinomları gösterilmi¸stir. Anahtar Kelimeler: Üstel operatörler,Weyl, Sack, Hausdorff ve Crofton özde¸slikleri, Monomiallik prensipleri, Hermite-Kampe de Feriet polinomları, iki de˘gerli Laguerre polinomları | en_US |
| dc.identifier.citation | Baran, Gizem. (2016). Exponential Operators and Hermite Type Polynomials. 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/11129/2924 | |
| 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 | en_US |
| dc.subject | Operator theory (Mathematics) | en_US |
| dc.subject | Exponential operators | en_US |
| dc.subject | Weyl | en_US |
| dc.subject | Sack | en_US |
| dc.subject | Hausdorff and Crofton identities | en_US |
| dc.subject | Monomiality principle | en_US |
| dc.subject | Hermite-Kampe de Feriet polynomials | en_US |
| dc.subject | Laguerre polynomials in two variables | en_US |
| dc.title | Exponential Operators and Hermite Type Polynomials | en_US |
| dc.type | Master Thesis |
