عنوان

Applications of Fibonacci numbers :

9400919107

9789400919105

b592736

Applications of Fibonacci numbers :

[Book]

proceedings of 'The Third International Conference on Fibonacci Numbers and Their Applications', Pisa, Italy, July 25-29, 1988

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

Dordrecht ; Boston

Kluwer Academic Publishers

©1990.

(xxiv, 357 pages) : illustrations

Volume 3.

The Role of the Fibonacci Sequence in the Isolation of the Real Roots of Polynomial Equations.- A GCD Property on Pascal's Pyramid and the Corresponding LCM Property of the Modified Pascal Pyramid.- Translatable and Rotatable Configurations Which Give Equal Product, Equal GCD and Equal LCM Properties Simultaneously.- Fibonacci Length of Generating Pairs in Groups.- A Generalization of Fibonacci Trees.- Generalized Fibonacci Numbers are Rounded Powers.- On Generalized Fibonacci Numbers of Graphs.- An Investigation of Sequences Derived from Hoggatt Sums and Hoggatt Triangles.- Representation of Natural Numbers as Sums of Fibonacci Numbers: An Application to Modern Cryptography.- A Note on Ramifications Concerning the Construction of Pythagorean Triples from Recursive Sequences.- On the Representation of {Fkn/Fn}, {Fkn/Ln}, {Lkn/Ln} and {Lkn/Fn} as Zeckendorf Sums.- Functional Recurrences.- Concentric Cycles in Mosaic Graphs.- Fibonacci Triangles.- Mosaic Numbers of Fibonacci Trees.- Falling Factorial Polynomials of Generalized Fibonacci Type.- Some Notes on Fibonacci Binary Sequences.- Congruences for Weighted and Degenerate Stirling Numbers.- An Inverse Theorem on Fibonacci Numbers.- Some Results on Divisibility Sequences.- On Mental Calculation of Repeating Decimals, Finding Fibonacci Numbers and a Connection to Pascal's Triangle.- Diophantine Representation of Fibonacci Numbers Over Natural Numbers.- On Prime Divisors of the Terms of Second Order Linear Recurrence Sequences.- An Alternating Product Representation for Real Numbers.- Maximum Length of the Euclidean Algorithm and Continued Fractions in F(X).- Recurrence Relations in Sinusoids and Their Applications to Spectral Analysis and to the Resolution of Algebraic Equations.- A Recurrence Relation for Gaussian Multinomial Coefficients.- Some Binomial Fibonacci Identities.- A Survey of Properties of Third Order Pell Diagonal Functions.- Multivariate Fibonacci Polynomials of Order K and the Multiparameter Negative Binomial Distribution of the Same Order.- Longest Circular Runs with an Application in Reliability Via the Fibonacci-Type Polynomials of Order K.- Fibonacci Numbers and an Algorithm of Lemoine and Katai.- Generalizations of Sequences of Lucas and Bell.- Distribution of Residues of Certain Second-Order Linear Recurrences Modulo P.- The Fibonacci Tree, Hofstadter and the Golden String.- Three Number Trees - Their Growth Rules and Related Number Properties.

Fibonacci numbers -- Congresses.

Fibonacci numbers.

Fibonacci, Suites de -- Congrès.

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

A F Horadam

Andreas N Philippou

Gerald E Bergum

[Book]

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