On Vietoris’ hybrid number sequence

Authors

NURTEN GÜRSESFollow
GÜLSÜM YELİZ SAÇLIFollow
SALİM YÜCEFollow

Author ORCID Identifier

SALİM YÜCE: 0000-0002-8296-6495

NURTEN GÜRSES: 0000-0001-8407-854X

GÜLSÜM YELİZ SAÇLI: 0000-0002-8647-1801

DOI

10.55730/1300-0098.3533

Abstract

This work is intended to establish a relation between Vietoris’ sequence, which is a rational sequence, andhybrid numbers. Then it provides some characteristic properties of the hybrid numbers with Vietoris’ number coefficients.Some relations between this hybrid number and its norm, the recurrence relations, the generating function, Binet-likeformula and Catalan-like identities are also indicated. Furthermore, a determinantal approach is presented to obtainelements of Vietoris’ hybrid number sequence.

Keywords

hybrid number, recurrence relation, tridiagonal matrix, Vietoris' number sequence

First Page

658

Last Page

672

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

GÜRSES, NURTEN; SAÇLI, GÜLSÜM YELİZ; and YÜCE, SALİM (2024) "On Vietoris’ hybrid number sequence," Turkish Journal of Mathematics: Vol. 48: No. 4, Article 4. https://doi.org/10.55730/1300-0098.3533
Available at: https://journals.tubitak.gov.tr/math/vol48/iss4/4