Applications of Fibonacci Numbers Volume 7

Bibliographic Details
Other Authors: Bergum, G.E. (Editor), Philippou, Andreas N. (Editor), Horadam, Alwyn F. (Editor)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1998, 1998
Edition:1st ed. 1998
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Probable Prime Tests Using Lucas Sequences
  • On a Functional Equation Associated with The Fibonacci Numbers
  • Diophantine Properties of Linear Recursive Sequences I
  • The Cantor-Fibonacci Distribution
  • On The Parity of Certain Partition Functions
  • There Are Infinitely Many Arithmetical Progressions Formed By Three Different Fibonacci Pseudoprimes
  • On Mikolas’ Summation Formula Involving Farey Fractions
  • Second order Linear Recurring Sequences in Hypercomplex Numbers
  • The Bell Differential Polynomials
  • On Lucas d-Pseudoprimes
  • Asymmetric Cell Division: Binomial Identities for Age Analysis of Mortal Vs Immortal Trees
  • The Golden Section and Modern Harmony Mathematics
  • Lucas Factors and A Fibonomial Generating Function
  • Elementary Properties of Canonical Number Systems in Quadratic Fields
  • Three Examples of Triangular Arrays with Optimal Discrepancy and Linear Recurrences
  • A Multivariate Inverse Polya Distribution Of Order K Arising in the Case Of Overlapping Success Runs
  • to A Fibonacci Geometry
  • Taylor Functionals and The Solution of Linear Difference Equations
  • Section — Invariant Numbers and Generalised Golden Section Optimization Algorithms
  • First Derivative Sequences of Extended Fibonacci and Lucas Polynomials
  • Elements of Zeckendorf Arithmetic
  • Binomial Coefficients Generalized With Respect to A Discrete Valuation
  • The Dying Fibonacci Tree
  • Smallest Integral Combinatorial Box
  • New Aspects of Morgan-Voyce Polynomials
  • Growing A Self-Similar Tree
  • Lacunary Sums of Binomial Coefficients
  • Some Reciprocal Summation Identities with Applications to The Fibonacci And Lucas Numbers
  • A Relative Rank Function on Sets of Continued Fractions Having Bounded Partial Quotients
  • On Sums of The Reciprocals of Prime Divisors of Terms of a Linear Recurrence
  • A Fibonacci-Fractal: A Bicolored Self-Similar Multifractal
  • A Generalisation of Ratios of Fibonacci Numbers with Application to Numerical Quadrature
  • The Fibonacci Pyramid
  • On A Three Dimensional Approximation Problem
  • Analysis of The Euclidean and Related Algorithms
  • Fundamental Solutions of u2 — 5v2 = — 4r2
  • Higher Order Bernoulli Polynomials and Newton Polygons
  • The Fibonacci Shuffle Tree
  • On The Period of Sequences Modulo a Prime Satisfying a Second Order Recurrence
  • Generalizations to Large Hexagons of The Star of David Theorem With Respect to God
  • Longest Success and Failure Runs and New Polynomials Related to The Fibonacci-Type Polynomials of Order K
  • A Note on A Representation Conjecture By Hoggatt
  • Some Remarks on The Distribution of Subsequences of Second Order Linear Recurrences
  • A Criterion for Stability of Two-Term Recurrence Sequences Modulo Odd Primes
  • A Problem of Diophantus and Pell Numbers
  • On The Exceptional Set in The Problem of Diophantus and Davenport
  • Substitutive Numeration Systems and A Combinatorial Problem
  • A Note on Derived Linear Recurring Sequences
  • Observations from Computer Experiments on an Integer Equation
  • Some Probabilistic Aspects of The Zeckendorf Decomposition of Integers