Applications of Fibonacci Numbers

Bergum, G. E.; Philippou, A. N.; Horadam, A. F.

Applications of Fibonacci Numbers

Edited by G. E. Bergum, A. N. Philippou and A. F. Horadam

in Springer Books from Springer

Date: 1998
ISBN: 978-94-011-5020-0
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Chapters in this book:

Higher Order Bernoulli Polynomials and Newton Polygons: Arnold Adelberg
The Fibonacci Shuffle Tree: Peter G. Anderson
On The Period of Sequences Modulo a Prime Satisfying A Second order Recurrence: Shiro Ando
Generalizations to Large Hexagons of The Star of David Theorem with Respect to Gcd: Shiro Ando, Calvin Long and Daihachiro Sato
Longest Success and Failure Runs and New Polynomials Related to The Fibonacci-Type Polynomials of Order k: Demetrios L. Antzoulakos and Andreas N. Philippou
A Note on a Representation Conjecture By Hoggatt: Marjorie Bicknell-Johnson
Some Remarks on The Distribution of Subsequences of Second Order Linear Recurrences: John R. Burke
A Criterion For Stability of Two-Term Recurrence Sequences Modulo Odd Primes: Walter Carlip, Eliot Jacobson and Lawrence Somer
A Problem of Diophantus and Pell Numbers: Andrej Dujella
On the Exceptional Set in the Problem of Diophantus and Davenport: Andrej Dujella
Substitutive Numeration Systems and A Combinatorial Problem: J. M. Dumont
A Note on Derived Linear Recurring Sequences*: Michele Elia
Observations from Computer Experiments on An Integer Equation: Daniel C. Fielder and Cecil O. Alford
Some Probabilistic Aspects of the Zeckendorf Decomposition of Integers: Piero Filipponi and Herta T. Freitag
First Derivative Sequences of Extended Fibonacci and Lucas Polynomials: Piero Filipponi and Alwyn F. Horadam
Elements of Zeckendorf Arithmetic: H. T. Freitag and G. M. Phillips
Binomial Coefficients Generalized with Respect to a Discrete Valuation: Sophie Frisch
The Dying Fibonacci Tree: Bernhard Gittenberger
Smallest Integral Combinatorial Box: Heiko Harborth and Meinhard Möller
New Aspects of Morgan-Voyce Polynomials: A. F. Horadam
Growing a Self-Similar Tree: Yasuichi Horibe
Lacunary Sums of Binomial Coefficients: F. T. Howard and Richard Witt
Some Reciprocal Summation Identities with Applications to the Fibonacci and Lucas Numbers: Derek Jennings
A Relative Rank Function on Sets of Continued Fractions Having Bounded Partial Quotients: Clark Kimberling
On Sums of the Reciprocals of Prime Divisors of Terms of a Linear Recurrence: Peter Kiss
A Fibonacci-Fractal: A Bicolored Self-Similar Multifractal: Wolfdieter Lang
A Generalisation of Ratios of Fibonacci Numbers with Application to Numerical Quadrature: T. N. Langtry
The Fibonacci Pyramid: T. G. Lavers
On a Three Dimensional Approximation Problem: Kálmán Liptai
Analysis of the Euclidean and Related Algorithms: Calvin T. Long and William A. Webb
Fundamental Solutions of u 2 -5v 2 = -4r 2: Calvin T. Long and William A. Webb
Probable Prime Tests Using Lucas Sequences: Willi More
On a Functional Equation Associated with the Fibonacci Numbers: K. Ozeki
Diophantine Properties of Linear Recursive Sequences I: A. Pethö
The Cantor-Fibonacci Distribution: Helmut Prodinger
On the Parity of Certain Partition Functions: Neville Robbins
There Are Infinitely Many Arithmetical Progressions Formed By Three Different Fibonacci Pseudoprimes: A. Rotkiewicz
On MikolÁs’ Summation Formula Involving Farey Fractions: Ken-Ichi Sato
Second Order Linear Recurring Sequences in Hypercomplex Numbers: Klaus Scheicher
The Bell Differential Polynomials: R. Schimming and S. Z. Rida
On Lucas d-Pseudoprimes: Lawrence Somer
Asymmetric Cell Division: Binomial Identities for Age Analysis of Mortal vs. Immortal Trees: Colin Paul Spears and Marjorie Bicknell-Johnson
The Golden Section and Modern Harmony Mathematics: Alexey Stakhov
Lucas Factors and a Fibonomial Generating Function: Indulis Strazdins
Elementary Properties of Canonical Number Systems in Quadratic Fields: Jörg M. Thuswardner
Three Examples of Triangular Arrays with Optimal Discrepancy and Linear Recurrences: Robert F. Tichy
A Multivariate Inverse Polya Distribution of Order k Arising in the Case of Overlapping Success Runs: Gregory A. Tripsiannis and Andreas N. Philippou
Introduction to a Fibonacci Geometry: J. C. Turner and A. G. Shannon
Taylor Functionals and the Solution of Linear Difference Equations: Luis Verde-Star
Section — Invariant Numbers and Generalised Golden Section Optimization Algorithms*: Anatoly A. Zhigljavsky, L. Pronzato and H. P. Wynn

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DOI: 10.1007/978-94-011-5020-0

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