Fibonaccijevi i Lucasovi polinomi

master's thesis

• Author: Ivana Šokčić
• Mentor: Zrinka Franušić (mentor)
• Committee member: Zrinka Franušić (predsjednik povjerenstva)
• Committee member: Boris Guljaš (član povjerenstva)
• Committee member: Goran Muić (član povjerenstva)
• Committee member: Marko Tadić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2015-09-23, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

Pomoću rekurzija nalik onima za Fibonaccijeve brojeve možemo generirati brojne klase polinoma, a koji su poopćenje niza Fibonaccijevih brojeva. Takve polinome zovemo Fibonaccijevi polinomi. U radu opažamo mnoga zanimljiva svojstva takvih polinoma, nalazimo eksplicitne formule za njih, te njihovu funkciju izvodnicu.

Abstract (english)

Large classes of polynomials can be defined by Fibonacci-like recurrence relations, and yield Fibonacci numbers. Such polynomials are called the Fibonacci polynomials. In this work we observe many interesting properties of such polynomials, find some explicite formulas and a generating function for them.

• Keywords: Fibonaccijevi polinomi; Lucasovi polinomi
• Keywords (english): Fibonacci polynomials; Lucas polynomials
• Language: croatian
• URN:NBN: urn:nbn:hr:217:168634
• Study programme: Title: Mathematics Education; specializations in: Mathematics Education; Course: Mathematics Education; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Access restricted to students and staff of home institution
• Created on: 2019-02-13 13:03:30