Results 11 to 20 of about 1,747 (160)

Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions

Open Mathematics, 2017
A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula. Similar formulae are derived for scaled Fibonacci numbers.
Prodinger Helmut
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Meshless local Petrov-Galerkin method for rotating Rayleigh beam using Chebyshev and Legendre polynomials [PDF]

Archive of Mechanical Engineering, 2022
The numerical solutions are obtained for rotating beams; the inclusion of centrifugal force term makes it difficult to get the analytical solutions. In this paper, we solve the free vibration problem of rotating Rayleigh beam using Chebyshev and Legendre
Vijay Panchore
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Symmetrized Chebyshev polynomials [PDF]

Proceedings of the American Mathematical Society, 2004
We define a class of multivariate Laurent polynomials closely related to Chebyshev polynomials and prove the simple but somewhat surprising (in view of the fact that the signs of the coefficients of the Chebyshev polynomials themselves alternate) result that their coefficients are non-negative. As a corollary we find that T
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Incomplete q-Chebyshev polynomials

Filomat, 2018
In this paper, we get the generating functions of the q-Chebyshev polynomials using ?z operator, which is ?z (f(z))= f(qz) for any given function f (z). Also considering explicit formulas of the q-Chebyshev polynomials, we give new generalizations of the q-Chebyshev polynomials called the incomplete q-Chebyshev polynomials of the first and ...
Cetin, Mirac, Ercan, Elif, TUĞLU, NAİM
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Superiority of legendre polynomials to Chebyshev polynomial in solving ordinary differential equation

Journal of Applied Sciences and Environmental Management, 2006
In this paper, we proved the superiority of Legendre polynomial to Chebyshev polynomial in solving first order ordinary differential equation with rational coefficient.
FO Akinpelu, LA Adetunde, EO Omidiora
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Some results for sums of products of Chebyshev and Legendre polynomials

Advances in Difference Equations, 2019
In this paper, we perform a further investigation of the Gegenbauer polynomials, the Chebyshev polynomials of the first and second kinds and the Legendre polynomials.
Yuan He
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Coefficient bounds for certain subclasses of bi-prestarlike functions associated with the Chebyshev polynomials [PDF]

Mathematica Moravica, 2020
In this paper, we introduce and investigate a new subclass of bi-prestarlike functions defined in the open unit disk, associated with Chebyshev Polynomials.
Güney H.Ö., Murugusundaramoorthy G., Vijaya K., Thilagavathi K.   +3 more
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On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives

Journal of Applied Mathematics, 2014
We study the relationship of the Chebyshev polynomials, Fibonacci polynomials, and their rth derivatives. We get the formulas for the rth derivatives of Chebyshev polynomials being represented by Chebyshev polynomials and Fibonacci polynomials.
Yang Li
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Representing Sums of Finite Products of Chebyshev Polynomials of the First Kind and Lucas Polynomials by Chebyshev Polynomials

Mathematics, 2018
In this paper, we study sums of finite products of Chebyshev polynomials of the first kind and Lucas polynomials and represent each of them in terms of Chebyshev polynomials of all kinds.
Taekyun Kim, Dae San Kim, Dmitry V. Dolgy, Jongkyum Kwon   +3 more
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On the Generalized Gaussian Fibonacci Numbers and Horadam Hybrid Numbers: A Unified Approach

Axioms, 2022
In this paper, we consider an approach based on the elementary matrix theory. In other words, we take into account the generalized Gaussian Fibonacci numbers. In this context, we consider a general tridiagonal matrix family.
Fatih Yılmaz, Mustafa Özkan
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