Compositions of integers and Fibonacci numbers-Reference-Cited by-同舟云学术

Compositions of integers and Fibonacci numbers

Published:2023-09-15 Issue:1 Volume:73 Page:178-191
ISSN:1303-5991
Container-title:Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
language:en
Short-container-title:Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.

Author:

AL Busra¹^ORCID,ALKAN Mustafa¹^ORCID

Affiliation:

1. AKDENIZ UNIVERSITY

Abstract

In this paper, we deal with the compositions of the integers. We present the decompositions for both the composition sets and the odd composition sets of the integers. Thus the decompositions provide us to have not only an alternative proof of some well known identies but also many new identities for Fibonacci numbers and Lucas numbers. Thus we investigate the generating functions for the product sum of the odd composition sets of the integers and attain some functional equations.

Funder

Supported by the Scientific Research Project Administration of Akdeniz University

Publisher

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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