Keywords: اعداد فیبوناچی; Cyclic codes; Fibonacci numbers; Pell numbers; Quaternion algebras; 11B39; 11R54; 94B05; 94B15;
مقالات ISI اعداد فیبوناچی (ترجمه نشده)
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Keywords: اعداد فیبوناچی; primary; 11D61; secondary; 11B39; Exponential equation; Hemachandra numbers; Fibonacci numbers;
Keywords: اعداد فیبوناچی; Core partition; Dyck path; Abacus diagram; Fibonacci numbers;
Keywords: اعداد فیبوناچی; Fibonacci numbers; Factoriangular numbers; p-adic linear forms in logarithms of algebraic numbers;
Keywords: اعداد فیبوناچی; 05C30; 05C85; 05A15; Fibonacci numbers; Phylogenetics; Trees; Convexity; Counting; Algorithms;
Keywords: اعداد فیبوناچی; Fibonacci numbers; Fractional calculus; Mittag-Leffler function; Rate equation;
Keywords: اعداد فیبوناچی; Fibonacci cube; Fibonacci numbers;
Keywords: اعداد فیبوناچی; primary, 15B36; secondary, 65F35Orthogonal projection; Fibonacci numbers; Fibonacci identities
Keywords: اعداد فیبوناچی; Knowledge generation; Cycles; Efficiency analysis; Fractal; Fibonacci numbers; Forecast; Triple Helix
Keywords: اعداد فیبوناچی; Yangian symmetry; Integrable spin chains; Fibonacci numbers; Anyons;
Keywords: اعداد فیبوناچی; System of difference equations; Riccati difference equation; General solution; Fibonacci numbers
Keywords: اعداد فیبوناچی; Multiset rewriting; Church–Rosser property; Confluence; Termination; Integer partitions; Partition identities; Fibonacci numbers; Tribonacci numbers; k-Step Fibonacci numbers
Keywords: اعداد فیبوناچی; Univalent functions; Convex functions; Starlike functions; Subordination; Fibonacci numbers; Conchoid of de Sluze; Trisectrix of Maclaurin;
Keywords: اعداد فیبوناچی; Fibonacci numbers; Applications of linear forms in logarithms of algebraic numbers
Keywords: اعداد فیبوناچی; 16P90; 16S32; 16N40; 17B65; 17B66; 17B50; 17B70; Growth; Self-similar algebras; Nil-algebras; Graded algebras; Restricted Lie algebras; Lie algebras of differential operators; Fibonacci numbers;
Keywords: اعداد فیبوناچی; Alternating words; Up-down words; Down-up words; Pattern-avoidance; Narayana numbers; Fibonacci numbers; Order ideals; Bijection
Keywords: اعداد فیبوناچی; Algebraic independence; Subseries mod qq; Exponential generating functions; Fibonacci numbers; Lindemann–Weierstrass theorem
The density of numbers n having a prescribed G.C.D. with the nth Fibonacci number
Keywords: اعداد فیبوناچی; Asymptotic density; Fibonacci numbers; Greatest common divisor;
Visibility in a pure model of golden spiral phyllotaxis
Keywords: اعداد فیبوناچی; Divergence angle; Fibonacci numbers; Golden ratio; Morphogenesis; Pattern recognition; Parastichies;
From golden to unimodular cryptography
Keywords: اعداد فیبوناچی; Fibonacci numbers; Recurrence relation; Golden ratio; Golden matrix; Unimodular matrix; Symmetric cipher; Error correction; Chosen plaintext attack;
(a,b)(a,b)-rectangle patterns in permutations and words
Keywords: اعداد فیبوناچی; (a,b)(a,b)-rectangle patterns; kk-box patterns; Bond; kk-bond; Mesh patterns; Permutations; Words; Distribution; Successions in permutations; Fibonacci numbers; LEGO
qq-derivative operator proof for a conjecture of Melham
Keywords: اعداد فیبوناچی; Fibonacci numbers; Lucas numbers; Fibonomial coefficient; qq-derivative operator
On Hessenberg and pentadiagonal determinants related with Fibonacci and Fibonacci-like numbers
Keywords: اعداد فیبوناچی; Fibonacci numbers; Fibonacci-like numbers; Hessenberg determinants; Pentadiagonal determinants;
Triangular truncation of k-Fibonacci and k-Lucas circulant matrices
Keywords: اعداد فیبوناچی; primary; 15B36; secondary; 65F35; Triangular truncation; Fibonacci numbers; Spectral norm;
Differential subordinations and α-convex functions
Keywords: اعداد فیبوناچی; Univalent functions; starlike functions; subordination; Fibonacci numbers; trisectrix of Maclaurin; conchoid of de Sluze30C45; 30C80
On the spectral norms of the matrices connected to integer number sequences
Keywords: اعداد فیبوناچی; Integer numbers sequence; Spectral norm; Principal minor; Fibonacci numbers; Lucas numbers; Pell numbers and Perrin numbers
From Fibonacci numbers to central limit type theorems
Keywords: اعداد فیبوناچی; Fibonacci numbers; Zeckendorfʼs theorem; Lekkerkerkerʼs theorem; Generating functions; Partial fraction expansion; Central limit type theorems; Far-difference representations;
Fibonacci sets and symmetrization in discrepancy theory
Keywords: اعداد فیبوناچی; Discrepancy; Fibonacci numbers; Cubature formulas; Numerical integration; Fourier coefficients
The Fibonacci partition triangles
Keywords: اعداد فیبوناچی; Fibonacci numbers; Partition formulas; Representations of quivers; Kronecker quiver; Fibonacci modules; 3-regular tree; Pascal triangle; Additive functions on translation quivers; Valued translation quivers; Left hammocks; Delannoy paths
On α-convex functions related to shell-like functions connected with Fibonacci numbers
Keywords: اعداد فیبوناچی; Univalent functions; Convex functions; Starlike functions; α-Convex functions; α-Convex functions of order β; Subordination; Fibonacci numbers; Trisectrix of Maclaurin
Certain results for a class of convex functions related to a shell-like curve connected with Fibonacci numbers
Keywords: اعداد فیبوناچی; Univalent functions; Convex functions; Starlike functions; Subordination; Fibonacci numbers; Trisectrix of Maclaurin; Conchoid of de Sluze
Redundancy of minimal weight expansions in Pisot bases
Keywords: اعداد فیبوناچی; Redundant systems of numeration; Linear recurrent base sequence; Fibonacci numbers; Pisot numbers; Representation of minimal weight; Fast multiplication;
Fibonacci numbers and orthogonal polynomials
Keywords: اعداد فیبوناچی; Fibonacci numbers; Orthogonal polynomials
Fibonacci integers
Keywords: اعداد فیبوناچی; Fibonacci numbers; Generated group; Primitive divisors; Counting function; Asymptotics;
On the properties of Lucas numbers with binomial coefficients
Keywords: اعداد فیبوناچی; Lucas numbers; Fibonacci numbers; Binomial coefficients
A new family of k-Fibonacci numbers
Keywords: اعداد فیبوناچی; Fibonacci numbers; Generalized k-Fibonacci numbers; k-Tridiagonal matrix; Determinant; Generating functions; Recurrence relation
Determinants of (generalised) Catalan numbers
Keywords: اعداد فیبوناچی; Hankel determinants; Generalised Catalan numbers; Fibonacci numbers; Dodgson condensation; Non-intersecting lattice paths
New congruences for central binomial coefficients
Keywords: اعداد فیبوناچی; primary, 11B65; secondary, 05A10, 05A19, 11A07, 11B39, 11B68Central binomial coefficients; Congruences modulo primes; Fibonacci numbers; Bernoulli numbers
Fibonacci numbers and Lucas numbers in graphs
Keywords: اعداد فیبوناچی; Independent sets; Fibonacci numbers; Counting
Quantum Hilbert matrices and orthogonal polynomials
Keywords: اعداد فیبوناچی; primary, 33D45; secondary, 11B39Basic orthogonal polynomials; Quantum integers; Fibonacci numbers
Optimization by k-Lucas numbers
Keywords: اعداد فیبوناچی; Optimization; Fibonacci numbers; k-Lucas numbers;
Parametrized Fibonacci search method with k-Lucas numbers
Keywords: اعداد فیبوناچی; Optimization; Fibonacci numbers; k-Lucas sequences
Trisection method by k-Lucas numbers
Keywords: اعداد فیبوناچی; Bisection method; Fibonacci numbers; k-Lucas sequences
Spanning forests and the golden ratio
Keywords: اعداد فیبوناچی; 05C50; 05C05; 05C12; 15A51; 11B39; 60J10Doubly stochastic graph matrix; Matrix forest theorem; Fibonacci numbers; Laplacian matrix; Vertex–vertex proximity; Spanning forest; Golden ratio
Identities via Bell matrix and Fibonacci matrix
Keywords: اعداد فیبوناچی; Combinatorial identities; Fibonacci numbers; Generalized Fibonacci numbers; Bell polynomials; Iteration matrix
Two determinants with Fibonacci and Lucas entries
Keywords: اعداد فیبوناچی; Determinants; Fibonacci numbers; Lucas numbers
Formulas for multi-parameter classes of Kazhdan–Lusztig polynomials in S(n)S(n)
Keywords: اعداد فیبوناچی; Kazhdan–Lusztig polynomials; Bruhat order; Symmetric group; Fibonacci numbers
Off-line and on-line guaranteed start-up delay for Media-on-Demand with stream merging
Keywords: اعداد فیبوناچی; Stream merging; Media-on-Demand; Fibonacci numbers
On determinants of matrices with general Fibonacci numbers entries
Keywords: اعداد فیبوناچی; Fibonacci numbers; General Fibonacci numbers; Matrix; Determinant;
The non-parametrizability of the word equation xyz=zvx: A short proof
Keywords: اعداد فیبوناچی; Word equations; Parametrizability; Fibonacci numbers; Fibonacci word;