Abstract
In the preceding chapter, we studied some fundamental identities of the Pell family. We now present some additional ones. Again, for the sake of brevity, we will prove only some of them, but will add some comments on others when needed. We will revisit some of these results in Chapter 11, when we study generating functions for the Pell family.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
E.J. Barbeau, Pell’s Equation, Springer-Verlag, New York, 2003.
K.S. Bhanu and M.N. Deshpande, Problem 92.H, Mathematical Gazette 92 (2008), 356–357.
K.S. Bhanu and M.N. Deshpande, Solution to Problem 92.H, Mathematical Gazette 93 (2009), 162–163.
T. Koshy, Elementary Number Theory with Applications, Academic Press, 2nd edition, Burlington, MA, 2007.
C.B.A. Peck, Solution to Problem H-117, Fibonacci Quarterly 7 (1969), 62–63.
M.N.S. Swamy and C.A. Vespe, Problem B-155, Fibonacci Quarterly 7 (1969), 107.
M. Wunderlich, Another Proof of the Infinite Primes Theorem, American Mathematical Monthly 72 (1965), 305.
D. Zeitlin, Power Identities for Sequences Defined by W n+2 = dW n+1 − cW n , Fibonacci Quarterly 3 (1965), 241–255.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer Science+Business Media New York
About this chapter
Cite this chapter
Koshy, T. (2014). Additional Pell Identities. In: Pell and Pell–Lucas Numbers with Applications. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8489-9_8
Download citation
DOI: https://doi.org/10.1007/978-1-4614-8489-9_8
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-8488-2
Online ISBN: 978-1-4614-8489-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)