Generalized Fibonacci Polynomials and Zeckendorf's Theorem

Verner E. Hoggatt, Marjorie Bicknell

Type: Article

Publication Date: 1973-11-01

Citations: 6

DOI: https://doi.org/10.1080/00150517.1973.12430813

View Publication

Locations

The Fibonacci quarterly - View

Similar Works

Action	Title	Year	Authors
+	Generalized Fibonacci Polynomials	1973	V. E. Hoggatt Marjorie Bicknell
+	Generalized Fibonacci Polynomials and Some Identities	2018	Omprakash Sikhwal Yashwantvyas
+	Generalized Fibonacci Numbers	1980	Anne Silva Verner E. Hoggatt
+	Extended and generalized fibonacci polynomials	1995	A. G. Shannon R. S. Melham
+	Extended Fibonacci Zeckendorf Theory	2014	Peter G. Anderson
+	Roots of Generalized FIbonacci-Type Polynomials	2011	Rebecca Miller Laquinta Shanti Stuart
+	Generalized Humbert polynomials via generalized Fibonacci polynomials	2017	Weiping Wang Hui Wang
+	Some Generalized Fibonacci Identities	1970	L. Carlitz
+	Identities involving generalized Fibonacci-type polynomials	2011	Shi-Mei Ma
+	Generalized Gaussian Fibonacci and Lucas Polynomials and Their Identities	2023	加玲杨
+	Catalan Identities for Generalized Fibonacci Polynomials	2024	Maribel Diaz Noguera Rigoberto Flórez Jósé L. Ramírez Martha Romero Rojas
+	Generalized fibonacci-feinberg sequences	2011	A. G. Shannon CK Cook
+	A Polynomial with Generalized Fibonacci Coefficients	1973	B King
+	Some Aspects of Generalized Fibonacci Numbers	1974	John Walton A. F. Horadam
+	Fibonacci Numbers and Generalized Binomial Coefficients	1967	V. E. Hoggatt
+	Generalized q-Fibonacci numbers	2005	Emanuele Munarini
+	A Note on Generalized Fibonacci Numbers	1995	Gwang-Yeon Lee Sang‐Gu Lee
+	Generalized Fibonacci Functions and Sequences of Generalized Fibonacci Functions	2003	Gwang-Yeon Lee J. E. Kim Tae Ho Cho
+	Generalized Fibonacci sequences via orthogonal polynomials	2012	J. Petronilho
+	Divisibility Properties of Generalized Fibonacci Polynomials	1974	Verner E. Hoggatt Calvin T. Long

Works That Cite This (4)

Action	Title	Year	Authors
+	On symmetric Tetranacci polynomials in mathematics and physics	2023	Nico Leumer
+	The Algebra of Fibonacci Representations	1976	Robert Silber Ralph Gellar
+ PDF Chat	Distance Fibonacci Polynomials—Part II	2021	Urszula Bednarz Małgorzata Wołowiec-Musiał
+	Additive Partition of the Positive Integers and Generalized Fibonacci Representations	1984	V. E. Hoggatt Marjorie Bicknell-Johnson

Works Cited by This (3)

Action	Title	Year	Authors
+	Generalized Fibonacci Numbers and Associated Matrices	1960	E. P. Miles
+	Partitions of N into Distinct Fibonacci Numbers	1968	David A. Klarner
+	Generalized Fibonacci Polynomials	1973	V. E. Hoggatt Marjorie Bicknell