Results 31 to 40 of about 13,679 (194)
A note on the numerical solution of singular integral equations of Cauchy type [PDF]
, 2009 This manuscript presents a method for the numerical solution of the Cauchy type singular integral equations of the first kind, over a finite segment which is bounded at the end points of the finite segment.
Eshkuratov, Zainidin K. +2 more
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Fiedler-comrade and Fiedler--Chebyshev pencils [PDF]
, 2016 Fiedler pencils are a family of strong linearizations for polynomials expressed in the monomial basis, that include the classical Frobenius companion pencils as special cases.
Noferini, Vanni, Pérez, Javier
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A new estimate for a quantity involving the Chebyshev polynomials of the first kind [PDF]
Journal of Mathematical Analysis and Applications, 2019 In this paper, we establish a new estimate (including lower and upper bounds) for an important quantity involved in the convergence analysis of smoothed aggregation algebraic multigrid methods. The new upper bound improves the existing ones. And our upper bound is optimal.
Xuefeng Xu, Chen-Song Zhang
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Pseudo-Lucas Functions of Fractional Degree and Applications
Axioms, 2021 In a recent article, the first and second kinds of multivariate Chebyshev polynomials of fractional degree, and the relevant integral repesentations, have been studied. In this article, we introduce the first and second kinds of pseudo-Lucas functions of
Clemente Cesarano +2 more
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Random block matrices and matrix orthogonal polynomials [PDF]
, 2008 In this paper we consider random block matrices, which generalize the general beta ensembles, which were recently investigated by Dumitriu and Edelmann (2002, 2005).
Holger Dette +2 more
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Fractal and Fractional, 2023 In this study, we present an innovative approach involving a spectral collocation algorithm to effectively obtain numerical solutions of the nonlinear time-fractional generalized Kawahara equation (NTFGKE).
Waleed Mohamed Abd-Elhameed +3 more
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A characterization of ultraspherical, Hermite, and Chebyshev polynomials of the first kind [PDF]
Integral Transforms and Special Functions, 2016 v3: references added. v2: revised as a research article, additional results about logarithmic-type generating functions included.
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A fast, simple, and stable Chebyshev-Legendre transform using an asymptotic formula [PDF]
, 2013 A fast, simple, and numerically stable transform for converting between Legendre and Chebyshev coefficients of a degree $N$ polynomial in $O(N(\log N)^{2}/ \log \log N)$ operations is derived.
Hale, Nicholas, Townsend, Alex
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Notes on explicit and inversion formulas for the Chebyshev polynomials of the first two kinds [PDF]
Miskolc Mathematical Notes, 2019 In the paper, starting from the Rodrigues formulas for the Chebyshev polynomials of the first and second kinds, by virtue of the Fa\`a di Bruno formula, with the help of two identities for the Bell polynomials of the second kind, and making use of a new inversion theorem for combinatorial coefficients, the authors derive two nice explicit formulas and ...
Qi, Feng, Niu, Da-Wei, Lim, Dongkyu
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Identities for generalized Euler polynomials
, 2014 For $N \in \mathbb{N}$, let $T_{N}$ be the Chebyshev polynomial of the first kind. Expressions for the sequence of numbers $p_{\ell}^{(N)}$, defined as the coefficients in the expansion of $1/T_{N}(1/z)$, are provided.
Jiu, Lin, Moll, Victor H., Vignat, C.
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