Abstract
To date, many authors in the literature have worked on special arrays in various computational systems. In this article, Lucas type bihyperbolic numbers were defined and their algebraic properties were examined. Bihyperbolic Lucas numbers were studied by Azak in 2021. Therefore, we only examined bihyperbolic Jacobsthal-Lucas and Pell-Lucas numbers. We also gave properties of bihyperbolic Jacobstal-Lucas and bihyperbolic Pell-Lucas numbers such as recursion relation, derivation function, Binet formula, D'Ocagne identity, Cassini identity and Catalan identity.
Keywords
Lucas number
Catalan number
Lucas sequence
Recurrence relation
Recursion (computer science)
Identity (music)
Mathematics
Combinatorics
Algebraic number
Type (biology)
Generating function
Fibonacci number
Relation (database)
Algebra over a field
Fibonacci polynomials
Discrete mathematics
Pure mathematics
Computer science
Algorithm
Classical orthogonal polynomials
Philosophy
Subject Areas
Advanced Mathematical Theories and Applications
·Statistical and Nonlinear Physics ·Physical Sciences
Advanced Mathematical Theories
·Mathematical Physics ·Physical Sciences
Diverse scientific research topics
·Management Science and Operations Research ·Social Sciences
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