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Applications of Fibonacci Numbers
Editor
Listed:
- G. E. Bergum(South Dakota State University)A. N. Philippou(House of Representatives)A. F. Horadam(University of New England)
Abstract
No abstract is available for this item.Individual chapters are listed in the "Chapters" tab
Suggested Citation
- G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), 1998. "Applications of Fibonacci Numbers," Springer Books, Springer, number 978-94-011-5020-0, January.
Handle: RePEc:spr:sprbok:978-94-011-5020-0
DOI: 10.1007/978-94-011-5020-0
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Book Chapters
The following chapters of this book are listed in IDEAS- Arnold Adelberg, 1998. "Higher Order Bernoulli Polynomials and Newton Polygons," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 1-8, Springer.
- Peter G. Anderson, 1998. "The Fibonacci Shuffle Tree," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 9-16, Springer.
- Shiro Ando, 1998. "On The Period of Sequences Modulo a Prime Satisfying A Second order Recurrence," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 17-22, Springer.
- Shiro Ando & Calvin Long & Daihachiro Sato, 1998. "Generalizations to Large Hexagons of The Star of David Theorem with Respect to Gcd," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 23-28, Springer.
- Demetrios L. Antzoulakos & Andreas N. Philippou, 1998. "Longest Success and Failure Runs and New Polynomials Related to The Fibonacci-Type Polynomials of Order k," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 29-38, Springer.
- Marjorie Bicknell-Johnson, 1998. "A Note on a Representation Conjecture By Hoggatt," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 39-42, Springer.
- John R. Burke, 1998. "Some Remarks on The Distribution of Subsequences of Second Order Linear Recurrences," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 43-47, Springer.
- Walter Carlip & Eliot Jacobson & Lawrence Somer, 1998. "A Criterion For Stability of Two-Term Recurrence Sequences Modulo Odd Primes," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 49-60, Springer.
- Andrej Dujella, 1998. "A Problem of Diophantus and Pell Numbers," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 61-68, Springer.
- Andrej Dujella, 1998. "On the Exceptional Set in the Problem of Diophantus and Davenport," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 69-76, Springer.
- J. M. Dumont, 1998. "Substitutive Numeration Systems and A Combinatorial Problem," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 77-82, Springer.
- Michele Elia, 1998. "A Note on Derived Linear Recurring Sequences," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 83-92, Springer.
- Daniel C. Fielder & Cecil O. Alford, 1998. "Observations from Computer Experiments on An Integer Equation," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 93-103, Springer.
- Piero Filipponi & Herta T. Freitag, 1998. "Some Probabilistic Aspects of the Zeckendorf Decomposition of Integers," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 105-114, Springer.
- Piero Filipponi & Alwyn F. Horadam, 1998. "First Derivative Sequences of Extended Fibonacci and Lucas Polynomials," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 115-128, Springer.
- H. T. Freitag & G. M. Phillips, 1998. "Elements of Zeckendorf Arithmetic," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 129-132, Springer.
- Sophie Frisch, 1998. "Binomial Coefficients Generalized with Respect to a Discrete Valuation," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 133-144, Springer.
- Bernhard Gittenberger, 1998. "The Dying Fibonacci Tree," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 145-152, Springer.
- Heiko Harborth & Meinhard Möller, 1998. "Smallest Integral Combinatorial Box," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 153-159, Springer.
- A. F. Horadam, 1998. "New Aspects of Morgan-Voyce Polynomials," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 161-176, Springer.
- Yasuichi Horibe, 1998. "Growing a Self-Similar Tree," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 177-184, Springer.
- F. T. Howard & Richard Witt, 1998. "Lacunary Sums of Binomial Coefficients," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 185-195, Springer.
- Derek Jennings, 1998. "Some Reciprocal Summation Identities with Applications to the Fibonacci and Lucas Numbers," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 197-200, Springer.
- Clark Kimberling, 1998. "A Relative Rank Function on Sets of Continued Fractions Having Bounded Partial Quotients," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 201-213, Springer.
- Peter Kiss, 1998. "On Sums of the Reciprocals of Prime Divisors of Terms of a Linear Recurrence," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 215-220, Springer.
- Wolfdieter Lang, 1998. "A Fibonacci-Fractal: A Bicolored Self-Similar Multifractal," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 221-237, Springer.
- T. N. Langtry, 1998. "A Generalisation of Ratios of Fibonacci Numbers with Application to Numerical Quadrature," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 239-253, Springer.
- T. G. Lavers, 1998. "The Fibonacci Pyramid," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 255-263, Springer.
- Kálmán Liptai, 1998. "On a Three Dimensional Approximation Problem," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 265-270, Springer.
- Calvin T. Long & William A. Webb, 1998. "Analysis of the Euclidean and Related Algorithms," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 271-278, Springer.
- Calvin T. Long & William A. Webb, 1998. "Fundamental Solutions of u 2 -5v 2 = -4r 2," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 279-282, Springer.
- Willi More, 1998. "Probable Prime Tests Using Lucas Sequences," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 283-289, Springer.
- K. Ozeki, 1998. "On a Functional Equation Associated with the Fibonacci Numbers," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 291-294, Springer.
- A. Pethö, 1998. "Diophantine Properties of Linear Recursive Sequences I," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 295-309, Springer.
- Helmut Prodinger, 1998. "The Cantor-Fibonacci Distribution," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 311-318, Springer.
- Neville Robbins, 1998. "On the Parity of Certain Partition Functions," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 319-325, Springer.
- A. Rotkiewicz, 1998. "There Are Infinitely Many Arithmetical Progressions Formed By Three Different Fibonacci Pseudoprimes," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 327-332, Springer.
- Ken-Ichi Sato, 1998. "On MikolÁs’ Summation Formula Involving Farey Fractions," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 333-336, Springer.
- Klaus Scheicher, 1998. "Second Order Linear Recurring Sequences in Hypercomplex Numbers," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 337-351, Springer.
- R. Schimming & S. Z. Rida, 1998. "The Bell Differential Polynomials," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 353-367, Springer.
- Lawrence Somer, 1998. "On Lucas d-Pseudoprimes," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 369-375, Springer.
- Colin Paul Spears & Marjorie Bicknell-Johnson, 1998. "Asymmetric Cell Division: Binomial Identities for Age Analysis of Mortal vs. Immortal Trees," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 377-391, Springer.
- Alexey Stakhov, 1998. "The Golden Section and Modern Harmony Mathematics," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 393-399, Springer.
- Indulis Strazdins, 1998. "Lucas Factors and a Fibonomial Generating Function," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 401-404, Springer.
- Jörg M. Thuswardner, 1998. "Elementary Properties of Canonical Number Systems in Quadratic Fields," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 405-414, Springer.
- Robert F. Tichy, 1998. "Three Examples of Triangular Arrays with Optimal Discrepancy and Linear Recurrences," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 415-423, Springer.
- Gregory A. Tripsiannis & Andreas N. Philippou, 1998. "A Multivariate Inverse Polya Distribution of Order k Arising in the Case of Overlapping Success Runs," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 425-434, Springer.
- J. C. Turner & A. G. Shannon, 1998. "Introduction to a Fibonacci Geometry," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 435-448, Springer.
- Luis Verde-Star, 1998. "Taylor Functionals and the Solution of Linear Difference Equations," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 449-462, Springer.
- Anatoly A. Zhigljavsky & L. Pronzato & H. P. Wynn, 1998. "Section — Invariant Numbers and Generalised Golden Section Optimization Algorithms," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 463-477, Springer.
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