Printed from https://ideas.repec.org/b/spr/sprbok/978-94-009-1910-5.html
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, Department of Math., Stat., & Comp. Sci.)
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.), 1990. "Applications of Fibonacci Numbers," Springer Books, Springer, number 978-94-009-1910-5, March.
Handle: RePEc:spr:sprbok:978-94-009-1910-5
DOI: 10.1007/978-94-009-1910-5
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- A. G. Akritas & P. G. Bradford, 1990. "The Role of the Fibonacci Sequence in the Isolation of the Real Roots of Polynomial Equations," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 1-6, Springer.
- Shiro Ando & Daihachiro Sato, 1990. "A GCD Property on Pascal’s Pyramid and the Corresponding LCM Property of the Modified Pascal Pyramid," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 7-14, Springer.
- Shiro Ando & Daihachiro Sato, 1990. "Translatable and Rotatable Configurations which Give Equal Product, Equal GCD and Equal LCM Properties Simultaneously," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 15-26, Springer.
- C. M. Campbell & H. Doostie & E. F. Robertson, 1990. "Fibonacci Length of Generating Pairs in Groups," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 27-35, Springer.
- Renato M. Capocelli, 1990. "A Generalization of Fibonacci Trees," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 37-56, Springer.
- Renato M. Capocelli & Paul Cull, 1990. "Generalized Fibonacci Numbers are Rounded Powers," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 57-62, Springer.
- Michael Drmota, 1990. "On Generalized Fibonacci Numbers of Graphs," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 63-76, Springer.
- Daniel C. Fielder & Cecil O. Alford, 1990. "An Investigation of Sequences Derived from Hoggatt Sums and Hoggatt Triangles," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 77-88, Springer.
- Piero Filipponi & Emilio Montolivo, 1990. "Representation of Natural Numbers as Sums of Fibonacci Numbers: An Application to Modern Cryptography," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 89-99, Springer.
- Herta T. Freitag, 1990. "A Note on Ramifications Concerning the Construction of Pythagorean Triples from Recursive Sequences," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 101-106, Springer.
- Herta T. Freitag, 1990. "On the Representation of {F kn /F n }, {F kn /L n }, {L kn /L n }, and {L kn /F n } as Zeckendorf Sums," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 107-114, Springer.
- Krystyna Grytczuk & Aleksander Grytczuk, 1990. "Functional Recurrences," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 115-121, Springer.
- Heiko Harborth, 1990. "Concentric Cycles in Mosaic Graphs," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 123-128, Springer.
- Heiko Harborth & Arnfried Kemnitz, 1990. "Fibonacci Triangles," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 129-132, Springer.
- Heiko Harborth & Sabine Lohmann, 1990. "Mosaic Numbers of Fibonacci Trees," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 133-138, Springer.
- A. F. Horadam, 1990. "Falling Factorial Polynomials of Generalized Fibonacci Type," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 139-153, Springer.
- Yasuichi Horibe, 1990. "Some Notes on Fibonacci Binary Sequences," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 155-160, Springer.
- F. T. Howard, 1990. "Congruences for Weighted and Degenerate Stirling Numbers," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 161-170, Springer.
- Naotaka Imada, 1990. "An Inverse Theorem on Fibonacci Numbers," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 171-179, Springer.
- Norbert Jensen, 1990. "Some Results on Divisibility Sequences," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 181-189, Springer.
- Marjorie Bicknell-Johnson, 1990. "On Mental Calculation of Repeating Decimals, Finding Fibonacci Numbers and a Connection to Pascal’s Triangle," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 191-195, Springer.
- James P. Jones, 1990. "Diophantine Representation of Fibonacci Numbers Over Natural Numbers," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 197-201, Springer.
- Peter Kiss, 1990. "On Prime Divisors of the Terms of Second Order Linear Recurrence Sequences," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 203-207, Springer.
- Arnold Knopfmacher & John Knopfmacher, 1990. "An Alternating Product Representation for Real Numbers," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 209-216, Springer.
- Arnold Knopfmacher & John Knopfmacher, 1990. "Maximum Length of the Euclidean Algorithm and Continued Fractions in F(X)," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 217-222, Springer.
- Joseph Lahr, 1990. "Recurrence Relations in Sinusoids and Their Applications to Spectral Analysis and to the Resolution of Algebraic Equations," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 223-238, Springer.
- S. L. Lee & G. M. Phillips, 1990. "A Recurrence Relation for Gaussian Multinomial Coefficients," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 239-240, Springer.
- Calvin T. Long, 1990. "Some Binomial Fibonacci Identities," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 241-254, Springer.
- Br. J. M. Mahon & A. F. Horadam, 1990. "A Survey of Properties of Third Order Pell Diagonal Functions," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 255-271, Springer.
- Andreas N. Philippou & Demetris L. Antzoulakos, 1990. "Multivariate Fibonacci Polynomials of Order K and the Multiparameter Negative Binomial Distribution of the Same Order," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 273-279, Springer.
- Andreas N. Philippou & Frosso S. Makri, 1990. "Longest Circular Runs with an Application in Reliability Via 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 281-286, Springer.
- Jukka Pihko, 1990. "Fibonacci Numbers and an Algorithm of Lemoine and Kátai," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 287-297, Springer.
- A. G. Shannon & A. F. Horadam, 1990. "Generalizations of Sequences of Lucas and Bell," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 299-309, Springer.
- Lawrence Somer, 1990. "Distribution of Residues of Certain Second-Order Linear Recurrences Modulo P," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 311-324, Springer.
- Keith Tognetti & Graham Winley & Tony van Ravenstein, 1990. "The Fibonacci Tree, Hofstadter and the Golden String," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 325-334, Springer.
- J. C. Turner, 1990. "Three Number Trees - Their Growth Rules and Related Number Properties," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 335-350, 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:978-94-009-1910-5. 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.