Sl(2) temsillerinin kulllanılması ile özel fonksiyonların ikili doğurucu fonksiyonlarının hesaplanması

This thesis is using of theory of matrix representation of Lie groups and Lie algebras, particularly, representations of SL2 using differential operators on calculations of bilateral generating functions of generalized Laguarre and some hypergeometric functions. The thesis consists of the details of calculations of linear generating functions of special functions, with along applications of the theory of Lie groups and algebras, their representations to calculations of generating functions. Keywords: Generalized Laguerre functions, Lie group, Lie algebra,Hypergeometric function, Casimir element.