On Power Sums Involving Lucas Functions Sequences
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-10-25
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We present some general formulas related to sum of powers, also with alternating sign, involving Lucas functions sequences.
In particular, our formulas give a synthesis of various identities involving sum of powers of well-known polynomial sequences such as Fibonacci, Lucas, Pell, Jacobsthal, and Chebyshev polynomials.
Finally, we point out some interesting divisibility properties between polynomials arising from our results.
American Psychological Association (APA)
Barbero, Stefano. 2017. On Power Sums Involving Lucas Functions Sequences. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1192199
Modern Language Association (MLA)
Barbero, Stefano. On Power Sums Involving Lucas Functions Sequences. Mathematical Problems in Engineering No. 2017 (2017), pp.1-11.
https://search.emarefa.net/detail/BIM-1192199
American Medical Association (AMA)
Barbero, Stefano. On Power Sums Involving Lucas Functions Sequences. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1192199
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1192199