One-Parameter Generalization of Dual-Hyperbolic Jacobsthal Numbers

• Autorzy: Dorota Bród , Anetta Szynal-Liana , Iwona Włoch
• Języki publikacji: EN

Abstrakty

EN

In this paper, we introduce one-parameter generalization of dualhyperbolic Jacobsthal numbers - dual-hyperbolic r-Jacobsthal numbers. We present some properties of them, among others the Binet formula, Catalan, Cassini, and d'Ocagne identities. Moreover, we give the generating function and summation formula for these numbers. The presented results are a generalization of the results for the dual-hyperbolic Jacobsthal numbers. (original abstract)

Słowa kluczowe

EN

Mathematics; Mathematical functions; Number theory

PL

Matematyka; Funkcje matematyczne; Teoria liczb

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2023
• Tom: 37 (2)
• Strony: 224--239

Twórcy

autor

Dorota Bród

• Rzeszow University of Technology,, Rzeszów, Poland

autor

Anetta Szynal-Liana

• Rzeszow University of Technology, Poland

autor

Iwona Włoch

• Rzeszow University of Technology, Poland

Bibliografia

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Identyfikatory

DOI

10.2478/amsil-2023-0005