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https://hdl.handle.net/20.500.11851/8430
Title: | Yüksek mertebeden lineer indirgeme dizilerinin terimlerinin ters toplamları | Other Titles: | Reciprocal sums of the terms of the higher order recursive sequences | Authors: | Arıkan, Talha | Advisors: | Kılıç, Emrah | Keywords: | Higher order generalized fibonacci sequence Reciprocal sums Recurrences Yüksek mertebeden genelleştirilmiş fibonacci dizisi Ters toplamlar Rekürans dizileri |
Publisher: | TOBB Ekonomi ve Teknoloji Üniversitesi Fen Bilimleri Enstitüsü Matematik Anabilim Dalı | Abstract: | Let p_i's be arbitrary reals for all 1<=i<=k. Higher order linear recursive sequence {u_n } with constant coefficients and arbitrary initials is defined by the recursion u_n=p_1 u_(n-1)+p_2 u_(n-2)+...+p_k u_(n-k) In this thesis, we obtain some results about partial reciprocal and alternating partial reciprocal sums of the terms of the sequence {u_n } given by (sum_(k=n)^(infinity) 1/u_(tk+r) )^(-1) and (sum_(k=n)^(infinity) (-1)^k/u_(tk+r) )^(-1) according to choice of initials and coefficients for arbitrary integers t and r with 0<=r Keyfi başlangıç koşullarına sahip ve her 1<=i<=k için p_i'ler keyfi reel sayılar olmak üzere yüksek mertebeden sabit katsayılı lineer indirgeme dizisi {u_n } u_n=p_1 u_(n-1)+p_2 u_(n-2)+...+p_k u_(n-k) kuralı ile tanımlanır. Bu tezde, başlangıç koşullarına ve katsayıların seçimine bağlı olarak her bir {u_n } dizisi için 0<=r |
URI: | https://hdl.handle.net/20.500.11851/8430 |
Appears in Collections: | Matematik Yüksek Lisans Tezleri / Mathematics Master Theses |
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