Symmetric functions of the k-Fibonacci and k-Lucas numbers
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DOI: 10.1142/s1793557121500315
Abstract: In this paper, we introduce a new operator in order to derive some new symmetric properties of k-Fibonacci and k-Lucas numbers and Fibonacci polynomials. By making use of the new operator defined i... read more here.
Keywords: fibonacci lucas; lucas numbers; functions fibonacci; symmetric functions ... See more keywords
The m-extension of Fibonacci and Lucas p-difference sequences
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DOI: 10.2298/fil1919187k
Abstract: In this paper we define the m-extension of Fibonacci and Lucas p-difference sequences by using the m-extension of Fibonacci and Lucas p-numbers. We investigate some properties of our new sequences and introduce some relations between… read more here.
Keywords: fibonacci lucas; extension fibonacci; lucas difference; difference sequences ... See more keywords
Novel Expressions for Certain Generalized Leonardo Polynomials and Their Associated Numbers
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DOI: 10.3390/axioms14040286
Abstract: This article introduces new polynomials that extend the standard Leonardo numbers, generalizing Fibonacci and Lucas polynomials. A new power form representation is developed for these polynomials, which is crucial for deriving further formulas. This article… read more here.
Keywords: lucas polynomials; novel expressions; generalized leonardo; leonardo polynomials ... See more keywords