Results 201 to 210 of about 7,865 (225)

Fibonacci, Chebyshev, and Orthogonal Polynomials

The American Mathematical Monthly, 2005
(2005). Fibonacci, Chebyshev, and Orthogonal Polynomials. The American Mathematical Monthly: Vol. 112, No. 7, pp. 612-630.
Kathy Driver, Alan F. Beardon, Dov Aharonov   +2 more
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A characterization of the Chebyshev and Fibonacci polynomials

Rendiconti del Circolo Matematico di Palermo, 1998
We consider sequences of polynomials of hypergeometric type satisfying a three-term recurrence relation with constant coefficients and general initial conditions. We characterize among these the Chebyshev and Fibonacci polynomials. Furthermore, we show some necessary conditions and links between the coefficients of the recurrence relation and initial ...
Paolo Ricci, Mauro Cuccoli
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Fibonacci-mandelbrot polynomials and matrices

ACM Communications in Computer Algebra, 2017
We explore a family of polynomials similar to the Mandelbrot polynomials called the Fibonacci-Mandelbrot polynomials defined by q 0 ( z ) = 0, q 1 ( z ) = 1, and q n
Robert M. Corless, Eunice Y. S. Chan
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On color polynomials of Fibonacci graphs

Journal of Computational Chemistry, 1987
AbstractA recursion exists among the coefficients of the color polynomials of some of the families of graphs considered in recent work of Balasubramanian and Ramaraj. Such families of graphs have been called Fibonacci graphs. Application to king patterns of lattices is given. The method described here applies only to the so called Fibonacci graphs.
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Fibonacci Analogs of the Classical Polynomials

Mathematics Magazine, 1975
(1975). Fibonacci Analogs of the Classical Polynomials. Mathematics Magazine: Vol. 48, No. 3, pp. 123-130.
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Fibonacci Polynomials their Properties and Applications

Zeitschrift für Analysis und ihre Anwendungen, 1996
The paper deals with polynomials characterized by coefficients determined by successive elements of the Fibonacci sequence. Basic properties and applications of the Fibonacci polynomials are demonstrated. The index of concentration of Fibonacci polynomials at k -th degree, locations of ...
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A new family of degenerate poly-Bernoulli polynomials of the second kind with its certain related properties

AIMS Mathematics, 2021
Waseem Ahmad Khan, Abdulghani Muhyi, Rifaqat Ali   +2 more
exaly  

Computational formulas and identities for new classes of Hermite‐based Milne–Thomson type polynomials: Analysis of generating functions with Euler's formula

Mathematical Methods in the Applied Sciences, 2021
Neslihan Kilar, Yilmaz Simsek
exaly  

A Comparative Approach for Time‐Delay Fractional Optimal Control Problems: Discrete Versus Continuous Chebyshev Polynomials

Asian Journal of Control, 2020
Fakhrodin Mohammadi, Leila Moradi
exaly  

Recursive formula to compute Zernike radial polynomials

Optics Letters, 2013
Barmak Honarvar Shakibaei Asli
exaly