A new class of \(q\)-Fibonacci polynomials (Q1408521)
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scientific article; zbMATH DE number 1985360
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new class of \(q\)-Fibonacci polynomials |
scientific article; zbMATH DE number 1985360 |
Statements
A new class of \(q\)-Fibonacci polynomials (English)
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24 September 2003
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This paper deals with the author's new \(q\)-analogue of the Fibonacci polynomials which can be derived from weighted Morse code sequences. Recursion formulas are proved and a generating function is found, as well as a number of identities and formulas for special values of them.
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\(q\)-Fibonacci polynomial
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Morse code sequence
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noncommutative Fibonacci polynomial
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Catalan number
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recursion formula
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generating function
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