[PDF] Top 20 Chebyshev polynomials and their some interesting applications
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Chebyshev polynomials and their some interesting applications
... of Chebyshev polynomials to study the power sum problem involving Fibonacci and Lucas polynomials and prove some new divisible properties involving these ... See full document
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REPRESENTING SUMS OF FINITE PRODUCTS OF CHEBYSHEV POLYNOMIALS OF THIRD AND FOURTH KINDS BY CHEBYSHEV POLYNOMIALS
... and Genocchi polynomials in [1,8,9]. All of these were found by deriving Fourier series expansions for the functions closely connected with those various sums of finite products. For some other ... See full document
11
Chebyshev Polynomials for Solving a Class of Singular Integral Equations
... where k t x ( ) ( ) , , L t x , and f x ( ) are given real-valued continuous functions belonging to the class Holder of continues functions and k t t ( ) , ≠ 0 . In Equation (1.1) the singular kernel is interpreted as ... See full document
12
Computing $\exp(-\tau A)b$ with Laguerre polynomials
... are the approximations obtained by the Chebyshev and Laguerre methods respectively. 4.1. Dielectric waveguide. The matrix used here comes from the Matrix Market collec- tion. It results from a finite difference ... See full document
19
EXPRESSING SUMS OF FINITE PRODUCTS OF CHEBYSHEV POLYNOMIALS OF THE SECOND KIND AND OF FIBONACCI POLYNOMIALS BY SEVERAL ORTHOGONAL POLYNOMIALS
... of Chebyshev poly- nomials of the second, third and fourth kinds and of Fibonacci, Legendre and Laguerre polynomials were expressed in terms of all kinds of Chebyshev polyno- mials in ...for ... See full document
18
Some new identities of Chebyshev polynomials and their applications
... of Chebyshev polynomials, elementary methods, and combinational techniques to study the computational problem of one kind of convolution sums involving second kind Chebyshev polynomials, and ... See full document
8
Indirect Method for Optimal Control Problem Using Boubaker Polynomial Eman Hassan Ouda | Samaa Fuad Ibraheem | Imad Noah Ahmed Fahmi
... Boubaker polynomials were established for the first by Boubaker et ...an interesting recursive formula leading to a class of polynomial functions that performs difference with common ... See full document
7
Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials
... of Chebyshev polynomials of the second kind and of Fibonacci polynomials and derive Fourier series expansions of functions asso- ciated with ...Bernoulli polynomials and obtain some ... See full document
14
Solving singular integral equations by using orthogonal polynomials
... The Chebyshev polynomial is like a fine jewel that reveals different characteristics un- der illumination from varying positions ...many applications of Chebyshev polynomials, specially in ... See full document
15
Operator Methods and SU(1,1) Symmetry in the Theory of Jacobi and of Ultraspherical Polynomials
... pherical polynomials and of their special cases of Legendre polynomials and of Chebyshev polynomials of first and of second ...Jacobi polynomials an alternative definition in comparison ... See full document
50
Numerical solution of nonlinear fractional integro-differential equation by Collocation method
... As Chebyshev polynomials and Legendre polynomials are well known family of orthogonal polynomials on the interval [−1,1] that have many applications and widely used because of their ... See full document
7
On Chebyshev polynomials and their applications
... These polynomials are very important in different areas of mathematics, and many scholars have studied various properties of them and obtained a series of interesting and important ...results. Some ... See full document
6
Some properties of Chebyshev polynomials
... obtain some new bounds for Chebyshev polynomials and their ...of Chebyshev polynomials and their ...an interesting property about the integrals of certain sums of ... See full document
10
CONNECTION PROBLEM FOR SUMS OF FINITE PRODUCTS OF CHEBYSHEV POLYNOMIALS OF THE THIRD AND FOURTH KINDS
... of Chebyshev polynomials of the third and fourth kinds and expressed each of them in terms of five orthogo- nal polynomials, namely Hermite, generalized Laguerre, Legendre, Gegenbauer and Jacobi ... See full document
16
Fractional Calculus for Solving generalized Abel’s Integral Equations using Chebyshev Polynomials
... After computing and substitute the collocation points we have asystem of linear equations. Solution of the system leads to the approximated solution of Abel’s integral equation. We solve some examples by this ... See full document
5
Solution of Fractional Differential Equations By Adomian Decomposition Method With Chebyshev Polynomials
... In this work, we have applied Adomian Decomposition method with Taylor series and Chebyshev polynomials. On applying the method to the examples with inhomoheneous source terms we can conclude from Fig.1, ... See full document
9
Solution of Fractional Differential Equations By Adomian Decomposition Method With Chebyshev Polynomials
... In this work, we have applied Adomian Decomposition method with Taylor series and Chebyshev polynomials. On applying the method to the examples with inhomoheneous source terms we can conclude from Fig.1, ... See full document
9
Some results for sums of products of Chebyshev and Legendre polynomials
... Gegenbauer polynomials, the Chebyshev polynomials of the first and second kinds and the Legendre ...of some analytic and combinatorial methods, we establish some new expressions for sums ... See full document
13
New Extension of Unified Family Apostol Type of Polynomials and Numbers
... (4.8) between the unified Bernstein and Bleimann-Butzer-Hahn basis, the new unified family of generalized Apos- tol-Bernoulli, Euler and Genocchi polynomials (see [9]) and generalized Stirling numbers of first ... See full document
11
New formulae of products of the Frobenius Euler polynomials
... establish some new for- mulae of products of the Frobenius-Euler polynomials by applying the generating function methods and some summation transform ...that some known results including ... See full document
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