δ-Fibonacci numbers | Zendy

Roman Wituła | Zendy; Damian Słota | Zendy

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δ-Fibonacci numbers

Author(s) -

Roman Wituła,

Damian Słota

Publication year - 2009

Publication title -

applicable analysis and discrete mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.69

H-Index - 26

eISSN - 2406-100X

pISSN - 1452-8630

DOI - 10.2298/aadm0902310w

Subject(s) - fibonacci number , fibonacci polynomials , lucas number , mathematics , pisano period , lucas sequence , combinatorics , recurrence relation , discrete mathematics , orthogonal polynomials , classical orthogonal polynomials

The scope of the paper is the definition and discussion of the polynomial generalizations of the {sc Fibonacci} numbers called here $delta$-{sc Fibonacci} numbers. Many special identities and interesting relations for these new numbers are presented. Also, different connections between $delta$-{sc Fibonacci} numbers and {sc Fibonacci} and {sc Lucas} numbersare proven in this paper

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