Sums involving generalized fibonacci and lucas numbers

vSUMS INVOLVING GENERALİZED FIBONACCI AND LUCASNUMBERS(M.Sc. Thesis)Esra AKBAŞGAZİ UNIVERSITYINSTITUTE OF SCIENCE AND TECHNOLOGYAralık 2006ABSTRACTIn this study, considering the generalized Fibonacci and Lucas numbers, someformulas for these numbers were obtained. For these numbers using theseformulas, some trigonometric and inverse trigonometric formulas includingfinite and infinite sums were obtained. Also infinite products includinggeneralized Fibonacci and Lucas numbers were obtained by using the sums.Finally, some equations and results in terms of trigonometric functions wereobtained for Jacobsthal and Jacobsthal-Lucas numbers.Science Code : 204.1.025Key Words : The Generalized Fibonacci and Lucas numbers, trigonometricfunctionsPage Number : 45Adviser : Prof. Dr. Dursun TAŞÇI