Gaussian Generalized Guglielmo Numbers

Bahadır Yılmaz; Yüksel Soykan

doi:10.9734/ajarr/2023/v17i12581

Research Article Open access CC BY 4.0

Gaussian Generalized Guglielmo Numbers

Bahadır Yılmaz, Yüksel Soykan

Asian Journal of Advanced Research and Reports · pp. 1–18 · Published 6 Nov 2023

10.9734/ajarr/2023/v17i12581

Abstract

In this study, we define Gaussian generalized Guglielmo numbers in detail, and focus on four specific cases: Gaussian triangular numbers, Gaussian triangular-Lucas numbers, Gaussian oblong numbers, and Gaussian pentagonal numbers. In addition, we present some identities and matrices related to these sequences, as well as recurrence relations, Binet’s formulas, generating functions, Simpson’s formulas, and summation formulas.

Gaussian triangular numbers Gaussian oblong numbers Gaussian pentegonal numbers triangular numbers oblong numbers pentegonal numbers

Cited by 1

Uma Nota sobre os Números Multifigurados Quadrados-Nonagonais.

Francisco Hedyleno Coelho Bezerra, F. R. Vieira Alves, E. A. Da Costa · Intermaths · 2025

Access this article

View at publisher

Cite this article

Bahadır Yılmaz, Yüksel Soykan (2023). Gaussian Generalized Guglielmo Numbers. Asian Journal of Advanced Research and Reports , 1–18. https://doi.org/10.9734/ajarr/2023/v17i12581

Affiliations

Bahadır Yılmaz — Department of Mathematics, Faculty of Science, Zonguldak B¨ ulent Ecevit University, 67100, Zonguldak, Turkey.
Yüksel Soykan — Department of Mathematics, Faculty of Science, Zonguldak B¨ ulent Ecevit University, 67100, Zonguldak, Turkey.

Metrics

0
Views: 0
Downloads: 1
Citations: 0
Outbound

Full metrics

Article metrics

Real usage data collected on this platform.

0

Page views

0

PDF downloads

0

Outbound clicks

1

Citations

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

No views recorded yet.

Traffic sources

Referring site, by host.

No traffic recorded yet.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.