Generalized Tetranacci Hybrid Numbers-Reference-Cited by-同舟云学术

Generalized Tetranacci Hybrid Numbers

Published:2020-10-06 Issue:1 Volume:35 Page:113-130
ISSN:2391-4238
Container-title:Annales Mathematicae Silesianae
language:en
Short-container-title:

Author:

Soykan Yüksel¹,Taşdemir Erkan²

Affiliation:

1. Department of Mathematics, Art and Science Faculty , Zonguldak Bülent Ecevit University , 67100 , Zonguldak , Turkey

2. Pınarhisar Vocational School of Higher Education , Kırklareli University , 39300 , Kırklareli , Turkey

Abstract

Abstract In this paper, we introduce the generalized Tetranacci hybrid numbers and, as special cases, Tetranacci and Tetranacci-Lucas hybrid numbers. Moreover, we present Binet’s formulas, generating functions, and the summation formulas for those hybrid numbers.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/amsil-2020-0021

Reference21 articles.

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3. [3] R. Ben Taher and M. Rachidi, Solving some generalized Vandermonde systems and inverse of their associate matrices via new approaches for the Binet formula, Appl. Math. Comput. 290 (2016), 267–280.

4. [4] B. Bernoussi, M. Rachidi, and O. Saeki, Factorial Binet formula and distributional moment formulation of generalized Fibonacci sequences, Fibonacci Quart. 42 (2004), no. 4, 320–329.

5. [5] G. Cerda-Morales, Investigation of generalized hybrid Fibonacci numbers and their properties, arXiv preprint. Available at arXiv: 1806.02231v1.

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