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Applications of Fibonacci Numbers
Editor
Listed:
- G. E. Bergum(South Dakota State University)A. N. Philippou(Ministry of Education)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.), 1991. "Applications of Fibonacci Numbers," Springer Books, Springer, number 978-94-011-3586-3, March.
Handle: RePEc:spr:sprbok:978-94-011-3586-3
DOI: 10.1007/978-94-011-3586-3
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Book Chapters
The following chapters of this book are listed in IDEAS- Peter G. Anderson, 1991. "A Fibonacci-Based Pseudo-Random Number Generator," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 1-8, Springer.
- Shiro Ando & Daihachiro Sato, 1991. "On the Proof of GCD and LCM Equalities Concerning the Generalized Binomial and Multinomial Coefficients," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 9-16, Springer.
- Joseph Arkin & David C. Arney & Lee S. Dewald & Frank R. Giordano, 1991. "Supercube," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 17-32, Springer.
- Joseph Arkin & David C. Arney & Frank R. Giordano & Rickey A. Kolb, 1991. "A Note on Fundamental Properties of Recurring Series," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 33-36, Springer.
- David Banks & Lawrence Somer, 1991. "Period Patterns of Certain Second-Order Linear Recurrences Modulo a Prime," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 37-40, Springer.
- Marjorie Bicknell-Johnson, 1991. "Nearly Isosceles Triangles Where the Vertex Angle is a Multiple of the Base Angle," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 41-50, Springer.
- Odoardo Brugia & Piero Filipponi & Francesco Mazzarella, 1991. "The Ring of Fibonacci (Fibonacci “Numbers” with Matrix Subscript)," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 51-62, Springer.
- C. M. Campbell & P. M. Heggie & E. F. Robertson & R. M. Thomas, 1991. "One-Relator Products of Cyclic Groups and Fibonacci-Like Sequences," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 63-68, Springer.
- Renato M. Capocelli, 1991. "A Generalization of the Fibonacci Search," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 69-76, Springer.
- Daniel C. Fielder & Cecil O. Alford, 1991. "Pascal’s Triangle: Top Gun or Just One of the Gang?," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 77-90, Springer.
- Piero Filipponi & Herta T. Freitag, 1991. "Conversion of Fibonacci Identities into Hyperbolic Identities Valid for an Arbitrary Argument," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 91-98, Springer.
- Piero Filipponi & Alwyn F. Horadam, 1991. "Derivative Sequences of Fibonacci and Lucas Polynomials," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 99-108, Springer.
- Dan Flath & Rhodes Peele, 1991. "A Carry Theorem for Rational Binomial Coefficients," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 109-120, Springer.
- H. T. Freitag & G. M. Phillips, 1991. "On Co-Related Sequences Involving Generalized Fibonacci Numbers," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 121-125, Springer.
- Heiko Harborth & Sabine Jäger, 1991. "Fibonacci and B-Adic Trees in Mosaic Graphs," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 127-132, Springer.
- Heiko Harborth & Arnfried Kemnitz, 1991. "Fibonacci Representations of Graphs," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 133-138, Springer.
- Chung-wu Ho & James L. Parish & Jau-shyong Shiue, 1991. "On the Sizes of Elements in the Complement of a Submonoid of Integers," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 139-144, Springer.
- A. F. Horadam, 1991. "Genocchi Polynomials," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 145-166, Springer.
- Roger V. Jean, 1991. "An Application of Zeckendorf’s Theorem," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 167-170, Springer.
- Clark Kimberling, 1991. "A New Kind of Golden Triangle," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 171-176, Springer.
- Clark Kimberling, 1991. "Terms Common to Two Sequences Satisfying the Same Linear Recurrence," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 177-188, Springer.
- Joseph Lahr, 1991. "Recurrence Relations in Exponential Functions and in Damped Sinusoids and Their Applications in Electronics," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 189-202, Springer.
- Jack Y. Lee, 1991. "Some Basic Properties of the Fibonacci Line-Sequence," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 203-214, Springer.
- Pin-Yen Lin, 1991. "De Moivre-Type Identities for the Tetrabonacci Numbers," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 215-218, Springer.
- Calvin Long & Shiro Ando, 1991. "Two Generalizations of Gould’s Star of David Theorem," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 219-230, Springer.
- Ming Luo, 1991. "On Triangular Lucas Numbers," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 231-240, Springer.
- Kenji Nagasaka & Jau-Shyong Shiue & Chung-Wu Ho, 1991. "A Fast Algorithm of the Chinese Remainder Theorem and ITS Application to Fibonacci Numbers," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 241-246, Springer.
- A. G. Schaake & J. C. Turner, 1991. "Generating the Pythagorean Triples Via Simple Continued Fractions," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 247-256, Springer.
- A. G. Schaake & J. C. Turner, 1991. "On the Moebius Knot Tree and Euclid’s Algorithm," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 257-270, Springer.
- A. G. Shannon & R. P. Loh & A. F. Horadam, 1991. "Generalized Fibonacci and Lucas Factorizations," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 271-276, Springer.
- Lawrence Somer, 1991. "On Even Fibonacci Pseudoprimes," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 277-288, Springer.
- Lawrence Somer, 1991. "Possible Restricted Periods of Certain Lucas Sequences Modulo P," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 289-298, Springer.
- Marcellus E. Waddill, 1991. "Using Matrix Techniques to Establish Properties of a Generalized Tribonacci Sequence," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 299-308, Springer.
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