Search Results - fibonacci and lucas numbers and polynomials and generalizations
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1
Authors: Radičić, Biljana
Source: Mathematica Slovaca. 75:69-82
Subject Terms: Eigenvalues, singular values, and eigenvectors, Toeplitz, Cauchy, and related matrices, norms of a matrix, eigenvalues, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Fibonacci and Lucas numbers and polynomials and generalizations, Recurrences, Matrices, determinants in number theory, Matrices of integers, \(k\)-circulant matrix, Lucas numbers, Hadamard inverse
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2
Authors:
Source: Mathematica Pannonica. :142-161
Subject Terms: Linear forms in logarithms, Approximation to algebraic numbers, Fibonacci and Lucas numbers and polynomials and generalizations, Mulatu numbers, reduction method, generalized Lucas numbers, Baker's method
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3
Authors:
Source: Indian Journal Of Science And Technology. 18:464-476
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4
Authors:
Source: Journal of Prime Research in Mathematics. 2024, Vol. 20 Issue 2, p30-47. 18p.
Subject Terms: *NUMBER theory, *POLYNOMIALS
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5
Authors:
Source: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 31, Iss 2, Pp 127-140 (2023)
Subject Terms: lucas polynomials, 11b37, Lucas polynomials, recurrence relation, 11b39, QA1-939, Fibonacci and Lucas numbers and polynomials and generalizations, Fibonacci polynomials, Recurrences, binet formula, fibonacci polynomials, Mathematics
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6
Authors:
Source: Computational and Applied Mathematics. 44
Subject Terms: sequence bisection, Euclidean norm, spreads, spectral norm, Special sequences and polynomials, Fibonacci and Lucas numbers and polynomials and generalizations, characteristic polynomial, Fibonacci numbers, Frobenius norm, Matrices, determinants in number theory, terraced matrix, Lucas sequence, catalecticant matrix
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7
Authors:
Subject Terms: Primary 11B39, secondary 11B83, Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT)
Access URL: http://arxiv.org/abs/2305.12016
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8
Authors:
Source: Ukrainian Mathematical Journal. 76:937-948
Subject Terms: Bernstein operator, Other functions defined by series and integrals, Fibonacci and Lucas numbers and polynomials and generalizations, Fibonacci numbers
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9
Authors: et al.
Source: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 119
Subject Terms: Mathematics - Number Theory, Diophantine equations, Pell-Lucas numbers, 01 natural sciences, 11B39, 11D61, 11J86, \(b\)-repdigits, 0103 physical sciences, FOS: Mathematics, Fibonacci and Lucas numbers and polynomials and generalizations, reduction method, Number Theory (math.NT), Pell numbers, linear forms in logarithms, 0101 mathematics, Exponential Diophantine equations, Diophantine equations in many variables, Continued fraction calculations (number-theoretic aspects), Linear forms in logarithms, Baker's method
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Access URL: http://arxiv.org/abs/2210.09699
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10
Authors:
Source: Indian Journal of Pure and Applied Mathematics. 55:1129-1141
Subject Terms: 0101 mathematics, umbral calculus and umbral algebra methods, special polynomial and numbers, 01 natural sciences, Fibonacci and Lucas numbers and polynomials and generalizations, Umbral calculus, Bernoulli and Euler numbers and polynomials, Orthogonal polynomials and functions associated with root systems, exponential generating functions, harmonic Fibonacci number
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11
Authors:
Source: Journal of Innovative Applied Mathematics and Computational Sciences; Vol. 5 No. 1 (2025): January-June ; 66-81 ; 2773-4196 ; 10.58205/jiamcs.v5i1 ; ark:/49935/jiamcs.v5i1
Subject Terms: Tibonaccia numbers, Tribonacci-Lucas numbers, Hyper dual numbers, Hyper dual tribonacci numbers, Hyper dual tribonacci-Lucas numbers, Generalized sum, Fibonacci and Lucas numbers and polynomials and generalizations
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12
Authors:
Contributors:
Subject Terms: Lucas number, Fibonacci and Lucas numbers and polynomials and generalizations, Fibonacci number, integral representation
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Access URL: https://zbmath.org/7612967
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13
Authors:
Source: Indian Journal of Pure and Applied Mathematics. 54:568-582
Subject Terms: \(k\)-generalized Fibonacci numbers, Padovan numbers, linear form in logarithms, Fibonacci and Lucas numbers and polynomials and generalizations, Perrin numbers, Recurrences, reduction method, 0101 mathematics, Higher degree equations, Fermat's equation, 01 natural sciences, Linear forms in logarithms, Baker's method, Quadratic and bilinear Diophantine equations
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14
Authors:
Contributors:
Source: Filomat. 32:3637-3650
Subject Terms: biperiodic Fibonacci numbers, Toeplitz, Cauchy, and related matrices, inverse, Determinant, biperiodic Lucas numbers, \(r\)-circulant matrix, Determinants, permanents, traces, other special matrix functions, Matrices, determinants in number theory, determinant, Biperiodic fibonacci numbers, R−Circulant matrix, Biperiodic lucas numbers, Fibonacci and Lucas numbers and polynomials and generalizations, Theory of matrix inversion and generalized inverses, Inverse
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15
Authors:
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Source: Volume: 8, Issue: 1 1-13
Journal of Engineering Technology and Applied SciencesSubject Terms: Hybrinomials, Matematik, Hyper-Fibonacci numbers, hyper-Lucas numbers, polynomials, hybrinomials, Hyper-Lucas Numbers, Hyper-Fibonacci Numbers, 0101 mathematics, Polynomials, 01 natural sciences, Mathematical Sciences
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16
Authors: Takacs, Lajos
Source: Publicationes Mathematicae Debrecen. 26:173-181
Subject Terms: generalized Stirling's numbers, recurrence formula, Exact enumeration problems, generating functions, Fibonacci and Lucas numbers and polynomials and generalizations, generalized Eulerian numbers, 0101 mathematics, 01 natural sciences
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Access URL: https://zbmath.org/3689388
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17
Authors:
Source: Open Mathematics, Vol 20, Iss 1, Pp 1642-1655 (2022)
Subject Terms: lucas number, Pisano period, pisano period, 65q30, 11b39, Fibonacci number, fibonacci number, 11b50, 01 natural sciences, Sequences (mod \(m\)), secondary 11y55, catalan's identity, primary 11b37, Catalan's identity, recurrence relation, QA1-939, Lucas number, Fibonacci and Lucas numbers and polynomials and generalizations, 0101 mathematics, Mathematics
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18
Authors:
Source: TURKISH JOURNAL OF MATHEMATICS. 45:2664-2677
Subject Terms: linear form in logarithms, \(k\)-Fibonacci numbers, Fibonacci and Lucas numbers and polynomials and generalizations, reduction method, 0101 mathematics, Exponential Diophantine equations, 01 natural sciences, Linear forms in logarithms, Baker's method
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19
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Source: Journal of Discrete Mathematical Sciences and Cryptography. 24:1063-1074
Subject Terms: Generating functions, Fibonacci and Lucas numbers and polynomials and generalizations, Recurrences, 0101 mathematics, 01 natural sciences
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20
Authors: Rishi Kumar
Source: International Journal of Number Theory. 21:75-112
Subject Terms: linear recurrence sequences, monothetic groups, \(p\)-adic Möbius transformations, \(p\)-adic numbers, Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps, Continuous, \(p\)-adic and abstract analogues, Fibonacci and Lucas numbers and polynomials and generalizations, ratio sets, 0102 computer and information sciences, 0101 mathematics, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Ergodic theory on groups, 01 natural sciences
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