Abstract
The aim of this study is to introduce the Pentanacci and Pentanacci-Lucas hybrid numbers. Then, some properties with respect to these special numbers and relations between them are obtained. In addition, matrix formulations, generating functions, Binet- like formulas and some summation formulas of them are examined.
Keywords
Lucas number
Lucas sequence
Mathematics
Recurrence relation
Fibonacci polynomials
Fibonacci number
Algebra over a field
Discrete mathematics
Calculus (dental)
Applied mathematics
Combinatorics
Pure mathematics
Orthogonal polynomials
Classical orthogonal polynomials
Subject Areas
Advanced Mathematical Theories and Applications
·Statistical and Nonlinear Physics ·Physical Sciences
Advanced Mathematical Theories
·Mathematical Physics ·Physical Sciences
Citations by Year
2023: 2
2024: 1
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