Octonions and hyperbolic octonions with the k-balancing and k-Lucas balancing numbers

Prasad, Kalika; Kumari, Munesh; Tanti, Jagmohan

doi:10.1007/s41478-023-00716-x

J Anal

2024

DOI: 10.1007/s41478-023-00716-x

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Octonions and hyperbolic octonions with the k-balancing and k-Lucas balancing numbers

Kalika Prasad,

Munesh Kumari,

Jagmohan Tanti

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2024

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Cited by 2 publications

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Relationships between singular expansions of real numbers

Serbenyuk

2024

J Anal

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Relationships between singular expansions of real numbers

Serbenyuk

2024

J Anal

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On Generalizations of Dickson k-Fibonacci Polynomials

Ozkan,

Akkus

2024

Wseas Transactions on Mathematics

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In this study, we define a Dickson k-Fibonacci polynomial inspired by Dickson polynomials and give some terms of these polynomials. Then we present the relations between the terms of Dickson k-Fibonacci polynomials. We find Binet formulas and generating functions for these polynomials. In addition, we give some important identities like Catalan identity, Melham’s identity, and Gelin-Cesaro’s identity. Moreover, Catalan transformation is applied to these polynomials, and their terms are found. Finally, the Hankel transform is applied to the Catalan transform of these polynomials, and the results obtained are associated with known Fibonacci numbers.

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Octonions and hyperbolic octonions with the k-balancing and k-Lucas balancing numbers

Cited by 2 publications

References 18 publications

Relationships between singular expansions of real numbers

Relationships between singular expansions of real numbers

On Generalizations of Dickson k-Fibonacci Polynomials

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