Exponential Operators and Hermite Type Polynomials

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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.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	http://hdl.handle.net/11129/2924
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.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	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	masterThesis	en_US
dc.contributor.department	Eastern Mediterranean University, Faculty of Arts and Science, Department of Mathematics	en_US