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Applications of Fibonacci Numbers: Volume 7 Softcover reprint of the original 1st ed. 1998 [Minkštas viršelis]

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  • Formatas: Paperback / softback, 484 pages, aukštis x plotis: 240x160 mm, weight: 828 g, XXXVI, 484 p., 1 Paperback / softback
  • Išleidimo metai: 13-Oct-2012
  • Leidėjas: Springer
  • ISBN-10: 9401061076
  • ISBN-13: 9789401061070
Kitos knygos pagal šią temą:
  • Formatas: Paperback / softback, 484 pages, aukštis x plotis: 240x160 mm, weight: 828 g, XXXVI, 484 p., 1 Paperback / softback
  • Išleidimo metai: 13-Oct-2012
  • Leidėjas: Springer
  • ISBN-10: 9401061076
  • ISBN-13: 9789401061070
Kitos knygos pagal šią temą:
This book contains 50 papers from among the 95 papers presented at the Seventh International Conference on Fibonacci Numbers and Their Applications which was held at the Institut Fiir Mathematik, Technische Universitiit Graz, Steyrergasse 30, A-SOlO Graz, Austria, from July 15 to July 19, 1996. These papers have been selected after a careful review by well known referees in the field, and they range from elementary number theory to probability and statistics. The Fibonacci numbers and recurrence relations are their unifying bond. It is anticipated that this book, like its six predecessors, will be useful to research workers and graduate students interested in the Fibonacci numbers and their applications. September 1, 1997 The Editors Gerald E. Bergum South Dakota State University Brookings, South Dakota, U. S. A. Alwyn F. Horadam University of New England Armidale, N. S. W. , Australia Andreas N. Philippou House of Representatives Nicosia, Cyprus xxvii THE ORGANIZING COMMITTEES LOCAL COMMITTEE INTERNATIONAL COMMITTEE Tichy, Robert, Chairman Horadam, A. F. (Australia), Co-Chair Prodinger, Helmut, Co-Chairman Philippou, A. N. (Cyprus), Co-Chair Grabner, Peter Bergurt:t, G. E. (U. S. A. ) Kirschenhofer, Peter Filipponi, P. (Italy) Harborth, H. (Germany) Horibe, Y. (Japan) Johnson, M. (U. S. A. ) Kiss, P. (Hungary) Phillips, G. M. (Scotland) Turner, J. (New Zealand) Waddill, M. E. (U. S. A. ) xxix LIST OF CONTRIBUTORS TO THE CONFERENCE *ADELBERG, ARNOLD, "Higher Order Bernoulli Polynomials and Newton Polygons. " AMMANN, ANDRE, "Associated Fibonacci Sequences. " *ANDERSON, PETER G. , "The Fibonacci Shuffle Tree.

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Springer Book Archives
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.- 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.- 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.