Applications of Fibonacci Numbers
Editor
- Gerald E. Bergum(South Dakota State University, Computer Science Department)Andreas N. Philippou(Ministry of Education)Alwyn F. Horadam(University of New England, Department of Mathematics, Statistics and Computer Science)
Abstract
No abstract is available for this item.Individual chapters are listed in the "Chapters" tab
Suggested Citation
- Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), 1993. "Applications of Fibonacci Numbers," Springer Books, Springer, number 978-94-011-2058-6, January.
Handle: RePEc:spr:sprbok:978-94-011-2058-6
DOI: 10.1007/978-94-011-2058-6
Download full text from publisher
To our knowledge, this item is not available for download. To find whether it is available, there are three options:1. Check below whether another version of this item is available online.
2. Check on the provider's web page whether it is in fact available.
3. Perform a for a similarly titled item that would be available.
Book Chapters
The following chapters of this book are listed in IDEAS- Peter G. Anderson, 1993. "Multidimensional Golden Means," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 1-9, Springer.
- Shiro Ando & Daihachiro Sato, 1993. "A Necessary and Sufficient Condition that Rays of a Star Configuration on Pascal’s Triangle Cover its Center with Respect to GCD and LCM," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 11-36, Springer.
- Shiro Ando & Daihachiro Sato, 1993. "On the Minimal Center Covering Stars with Respect to GCD in Pascal’s Pyramid and its Generalizations," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 37-43, Springer.
- Joseph Arkin & David C. Arney & Frank R. Giordano & Rickey A. Kolb & Gerald E. Bergum, 1993. "An Extension of an Old Classical Diophantine Problem," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 45-48, Springer.
- Huseyin Aydin & Geoff C. Smith, 1993. "Fourier Analysis in Finite Nilpotent Groups," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 49-59, Springer.
- Huseyin Aydin & Ramazan Dikici & Geoff C. Smith, 1993. "Wall and Vinson Revisited," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 61-68, Springer.
- Marjorie Bicknell-Johnson, 1993. "Designer Decimals: Fractions which Contain Second Order Recursion Sequences in Their Decimal Expansions, Reading Left to Right or Right to Left," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 69-75, Springer.
- Colin M. Campbell & Edmund F. Robertson & Richard M. Thomas, 1993. "Semigroup Presentations and Number Sequences," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 77-83, Springer.
- Umberto Cerruti, 1993. "Counting the Number of Solutions of Congruences," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 85-101, Springer.
- O. Chryssaphinou & S. Papastavridis & T. Tsapelas, 1993. "On the Number of Overlapping Success Runs in a Sequence of Independent Bernoulli Trials," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 103-112, Springer.
- Wai-fong Chuan, 1993. "Embedding Fibonacci Words into Fibonacci Word Patterns," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 113-122, Springer.
- Stuart Clary & Paul D. Hemenway, 1993. "On Sums of Cubes of Fibonacci Numbers," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 123-136, Springer.
- Charles K. Cook & Gerald E. Bergum, 1993. "Integer Sided Triangles Whose Ratio of Altitude to Base is an Integer," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 137-142, Springer.
- Karl Dilcher, 1993. "On a Class of Iterative Recurrence Relations," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 143-158, Springer.
- Ivan H. Dimovski & Virginia S. Kiryakova, 1993. "Discrete Operational Calculi for Two-sided Sequences," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 159-168, Springer.
- L. A. G. Dresel, 1993. "Transformations of Fibonacci-Lucas Identities," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 169-184, Springer.
- Michael Drmota, 1993. "Fibonacci Numbers and Continued Fraction Expansions," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 185-197, Springer.
- Marco Faccio & Giuseppe Ferri & Arnaldo D’Amico, 1993. "The DFF and DFFz Triangles and Their Mathematical Properties," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 199-206, Springer.
- Daniel C. Fielder & Cecil O. Alford, 1993. "Contributions from Cascaded Combinations to the Naming of Special Permutations," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 207-215, Springer.
- Piero Filipponi & Herta T. Freitag, 1993. "The Zeckendorf Representation of {F kn /F n }," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 217-219, Springer.
- Dan Flath & Rhodes Peele, 1993. "Fractal Patterns Derived from Rational Binomial Coefficients," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 221-228, Springer.
- Dan Flath & Rhodes Peele, 1993. "Hausdorff Dimension in Pascal’s Triangle," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 229-244, Springer.
- Matthew Fletcher & Geoff C. Smith, 1993. "Chaos, Elliptic Curves and All That," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 245-256, Springer.
- H. T. Freitag & G. M. Phillips, 1993. "Co-Related Sequences Satisfying the General Second Order Recurrence Relation," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 257-262, Springer.
- P. J. Grabner & P. Kirschenhofer & H. Prodinger & R. F. Tichy, 1993. "On the Moments of the Sum-of-Digits Function," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 263-271, Springer.
- Heiko Harborth, 1993. "Problems on Fibonacci and B-Adic Tree Representations by Regular K-Gons," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 273-277, Springer.
- Heiko Harborth & Lothar Piepmeyer, 1993. "Two-Distance Sets and the Golden Ratio," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 279-288, Springer.
- Russell Jay Hendel, 1993. "A Fibonacci Problem Classification Scheme Useful to Undergraduate Pedagogy," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 289-304, Springer.
- A. F. Horadam, 1993. "Zeckendorf Representations of Positive and Negative Integers by Pell Numbers," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 305-316, Springer.
- Alwyn F. Horadam & Piero Filipponi, 1993. "Integration Sequences of Fibonacci and Lucas Polynomials," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 317-330, Springer.
- A. F. Horadam & A. G. Shannon, 1993. "Pell-Type Number Generators of Pythagorean Triples," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 331-343, Springer.
- Yasuichi Horibe, 1993. "Balance Morphology of a Binary Tree," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 345-354, Springer.
- F. T. Howard, 1993. "Nörlund’s Number Bn (n)," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 355-366, Springer.
- Leetsch C. Hsu, 1993. "On Stirling-Type Pairs and Extended Gegenbauer-Humbert-Fibonacci Polynomials," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 367-377, Springer.
- Naotaka Imada, 1993. "A Sequence Arising from Reflections in Multiple Glass Plates," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 379-386, Springer.
- James P. Jones, 1993. "Diophantine Representation of Non-Fibonacci Numbers," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 387-392, Springer.
- Ann Chi Kim, 1993. "On Some Problems Related to the Fibonacci Group," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 393-397, Springer.
- William A. Kimball & William A. Webb, 1993. "Congruence Properties of Fibonacci Numbers and Fibonacci Coefficients Modulo p2," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 399-403, Springer.
- Clark Kimberling, 1993. "Orderings of the Set of All Positive Fibonacci Sequences," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 405-416, Springer.
- Peter Kiss, 1993. "Some Results Concerning the Reciprocal Sum of Prime Divisors of a Lucas Number," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 417-420, Springer.
- Arnold Knopfmacher, 1993. "Rational Numbers with Predictable Engel Product Expansions," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 421-427, Springer.
- Wolfdieter Lang, 1993. "Two Families of Orthogonal Polynomial Systems Related to Fibonacci Chains," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 429-440, Springer.
- Jack Y. Lee, 1993. "On the Formation of Higher Order Higher Dimensional Line-Sequential Vector Spaces," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 441-447, Springer.
- Calvin Long & Graeme L. Cohen & Timothy Langtry & A. G. Shannon, 1993. "Arithmetic Sequences and Second order Recurrences," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 449-457, Springer.
- Winfried B. Müller & Alan Oswald, 1993. "Generalized Fibonacci Pseudoprimes and Probable Primes," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 459-464, Springer.
- S. P. Pethe & C. N. Phadte, 1993. "A Generalization of the Fibonacci Sequence," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 465-472, Springer.
- Helmut Prodinger, 1993. "How to Advance on a Stairway by Coin Flippings," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 473-479, Springer.
- Shuichi Sato, 1993. "Fibonacci Sequence and its Generalizations Hidden in Algorithms for Generating Morse Codes," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 481-486, Springer.
- Shuichi Sato, 1993. "On Matrix Representations of Generalized Fibonacci Numbers and Their Applications," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 487-496, Springer.
- A. G. Shannon & R. L. Ollerton & D. R. Owens, 1993. "A Cholesky Decomposition in Matching Insulin Profiles," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 497-506, Springer.
- John C. Sjoberg, 1993. "Generalized Exponential and Trigonometric Functions," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 507-514, Springer.
- Lawrence Somer, 1993. "Divisibility of Terms in Lucas Sequences by Their Subscripts," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 515-525, Springer.
- Lawrence Somer, 1993. "Upper Bounds for Frequencies of Elements in Second-Order Recurrences over A Finite Field," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 527-546, Springer.
- Lea Terracini, 1993. "On the Convergence of Quotients of Some Recursive Sequences," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 547-560, Springer.
- Robert F. Tichy, 1993. "Two Distribution Problems for Polynomials," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 561-568, Springer.
- J. C. Turner & A. G. Schaake, 1993. "The Elements of Enteger Geometry," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 569-583, Springer.
- J. C. Turner & H. Garcia & A. G. Schaake, 1993. "Totient Functions on the Euler Number Tree," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 585-600, Springer.
- Marcellus E. Waddill, 1993. "Using Matrix Techniques to Establish Properties of k-Order Linear Recursive Sequences," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 601-615, Springer.
Corrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprbok:978-94-011-2058-6. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
We have no bibliographic references for this item. You can help adding them by using this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.
Printed from https://ideas.repec.org/b/spr/sprbok/978-94-011-2058-6.html