δ-Fibonacci numbers

Roman Witula; Damian Slota

doi:10.2298/AADM0902310W

δ-Fibonacci numbers

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Abstrakt

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

Język oryginału	angielski
Strony (od–do)	310-329
Liczba stron	20
Czasopismo	Applicable Analysis and Discrete Mathematics
Tom	3
Numer wydania	2
Identyfikatory DOI	https://doi.org/10.2298/AADM0902310W
Status publikacji	Opublikowano - paź 2009

Obszary tematyczne ASJC Scopus

Analiza
Matematyka dyskretna i kombinatoryka
Matematyka stosowana

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10.2298/AADM0902310W

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title = "δ-Fibonacci numbers",

abstract = "The scope of the paper is the definition and discussion of the polynomial generalizations of the Fibonacci numbers called here δ-Fibonacci numbers. Many special identities and interesting relations for these new numbers are presented. Also, different connections between δ-Fibonacci numbers and Fibonacci and Lucas numbers are proven in this paper.",

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author = "Roman Witula and Damian Slota",

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AU - Slota, Damian

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

KW - Fibonacci numbers

KW - Lucas numbers

UR - https://www.scopus.com/pages/publications/78650989323

U2 - 10.2298/AADM0902310W

DO - 10.2298/AADM0902310W

M3 - Article

AN - SCOPUS:78650989323

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JO - Applicable Analysis and Discrete Mathematics

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ER -

δ-Fibonacci numbers

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Obszary tematyczne ASJC Scopus

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