δ-Fibonacci numbers-Reference-Cited by-同舟云学术

δ-Fibonacci numbers

Published:2009 Issue:2 Volume:3 Page:310-329
ISSN:1452-8630
Container-title:Applicable Analysis and Discrete Mathematics
language:en
Short-container-title:APPL ANAL DISCRETE M

Author:

Wituła Roman¹,Słota Damian¹

Affiliation:

1. Institute of Mathematics, Silesian University of Technology, Gliwice, Poland

Abstract

The scope of the paper is the definition and discussion of the polynomial generalizations of the Fibonacci numbers called here ?-Fibonacci numbers. Many special identities and interesting relations for these new numbers are presented. Also, different connections between ?-Fibonacci numbers and Fibonacci and Lucas numbers are proven in this paper.

Publisher

National Library of Serbia

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference14 articles.

1. Carlitz L. (1974) Some combinatorial identities Publ. Elektrotehn. Fak. Ser. Mat. Fiz : 461-497, 87-90

2. Cvetković Dragoš M. (1973) On enumeration of certain types of sequences Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz : 412-460, 159-164

3. Fairgrieve S. (2005) Product difference Fibonacci identities of Simson, Gelin-Cesaro, Tagiuri and generalizations Fibonacci Quart : 43, 137-141

4. Grzymkowski R. (2000) Calculus methods in algebra Gliwice: WPKJS Part One

5. Horadam A.F. (1987) Generalization of identities of Catalan and others Port. Math : 44 137-148

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On split quaternion equivalents for Quaternaccis, shortly Split Quaternaccis;Open Mathematics;2021-01-01

2. On Quaternion Equivalents for Quasi-Fibonacci Numbers, Shortly Quaternaccis;Advances in Applied Clifford Algebras;2019-05-30

3. Binomials transformation formulae for scaled Fibonacci numbers;Open Mathematics;2017-04-23

4. On values of the psi function;Journal of Applied Mathematics and Computational Mechanics;2017-03

5. δ-Fibonacci and δ-lucas numbers, δ-fibonacci and δ-lucas polynomials;Mathematica Slovaca;2017-02-01