汛-FIBONACCI NUMBERS

作者:Roman Witula; Damian Slota
来源:Applicable Analysis and Discrete Mathematics, 2009, 3(2): 310-329.
DOI:10.2298/aadm0902310w

摘要

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.