The Resource Applications of Fibonacci Numbers : Volume 7, edited by G. E. Bergum, A. N. Philippou, A. F. Horadam, (electronic resource)

Applications of Fibonacci Numbers : Volume 7, edited by G. E. Bergum, A. N. Philippou, A. F. Horadam, (electronic resource)

Label
Applications of Fibonacci Numbers : Volume 7
Title
Applications of Fibonacci Numbers
Title remainder
Volume 7
Statement of responsibility
edited by G. E. Bergum, A. N. Philippou, A. F. Horadam
Title variation
Proceedings of `The Seventh International Research Conference on Fibonacci Numbers and Their Applications', Technische Universität, Graz, Austria, July 15-19, 1996
Contributor
Editor
Subject
Language
eng
Dewey number
512.7
Image bit depth
0
LC call number
QA241-247.5
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Bergum, G. E.
  • Philippou, A. N.
  • Horadam, A. F.
  • SpringerLink (Online service)
http://library.link/vocab/subjectName
  • Number theory
  • Combinatorics
  • Computational complexity
  • Computer science
Label
Applications of Fibonacci Numbers : Volume 7, edited by G. E. Bergum, A. N. Philippou, A. F. Horadam, (electronic resource)
Link
https://doi.org/10.1007/978-94-011-5020-0
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
1 online resource
File format
multiple file formats
Form of item
electronic
Isbn
9789401150200
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-94-011-5020-0
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-94-011-5020-0
Label
Applications of Fibonacci Numbers : Volume 7, edited by G. E. Bergum, A. N. Philippou, A. F. Horadam, (electronic resource)
Link
https://doi.org/10.1007/978-94-011-5020-0
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
1 online resource
File format
multiple file formats
Form of item
electronic
Isbn
9789401150200
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-94-011-5020-0
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-94-011-5020-0

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