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ON GENERALIZED BIHYPERBOLIC MERSENNE NUMBERS.
- Source :
- Mathematica Bohemica; 2024, Vol. 149 Issue 1, p75-85, 11p
- Publication Year :
- 2024
-
Abstract
- In this paper, a new generalization of Mersenne bihyperbolic numbers is introduced. Some of the properties of presented numbers are given. A general bilinear index-reduction formula for the generalized bihyperbolic Mersenne numbers is obtained. This result implies the Catalan, Cassini, Vajda, d'Ocagne and Halton identities. Moreover, generating function and matrix generators for these numbers are presented. [ABSTRACT FROM AUTHOR]
- Subjects :
- GENERATING functions
MATRIX functions
GENERALIZATION
Subjects
Details
- Language :
- English
- ISSN :
- 08627959
- Volume :
- 149
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Mathematica Bohemica
- Publication Type :
- Academic Journal
- Accession number :
- 175956659
- Full Text :
- https://doi.org/10.21136/MB.2023.0085-22