Results 271 to 280 of about 4,345 (299)

q-Taylor’s Formula for Polynomials

2002
As has been shown in the previous chapter, P n (x) = (x − a) q n /[n]! satisfies the three requirements of Theorem 2.1 with respect to the linear Operator D q . Therefore, we now obtain the q-version of Taylor’s formula.
Victor Kac, Pokman Cheung
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Polynomial inequalities and universal Taylor series

Mathematische Zeitschrift, 2016
For a compact set \(K\) in the complex plane, let \(C(K)\) denote the space of continuous functions on \(K\) endowed with the uniform norm. A Taylor series \(\sum_{j \geq 0} a_j z^j\) of a function \(f\) holomorphic in the open unit disk is called universal if for all compact sets \(K\) outside the closed unit disk with connected complement the partial
Mouze, Augustin, Munnier, Vincent
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ON THE GALOIS GROUPS OF THE EXPONENTIAL TAYLOR POLYNOMIALS

1987
Let \(f_ n(X)\) be the polynomial \(1+x+x^ 2/2!+\dots+x^ n/n!\) over \({\mathbb{Q}}\). Then [cf. \textit{I. Schur}, Sitzungsber. Akad. Wiss. Berlin 1930, 443--449 (1930; JFM 56.0110.02)] the Galois group of \(f_ n(X)\) is the alternating group \(A_ n\) if 4 divides \(n\) and it is equal to the symmetric group \(S_ n\) otherwise.
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Generalized Taylor’s Formula for Polynomials

2002
In the ordinary calculus, a function, f(x) that possesses derivatives of all Orders is analytic at x = a if it can be expressed as a power series about x = a. Taylor’s theorem teils us the power series is $$ f(x) = \sum\limits_{n = 0}^\infty {f^{(n)} (a)} \frac{{(x - a)^n }} {{n!}}.
Victor Kac, Pokman Cheung
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Taylor Polynomials for Rational Functions

The College Mathematics Journal, 1998
(1998). Taylor Polynomials for Rational Functions. The College Mathematics Journal: Vol. 29, No. 3, pp. 226-228.
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Taylor polynomial solutions of Volterra integral equations

International Journal of Mathematical Education in Science and Technology, 1994
The method of Kanwal and Liu for the solution of Fredholm integral equations is applied to certain linear and nonlinear Volterra integral equations of the second kind. Some equations considered by other authors are solved in terms of Taylor polynomials and the results are compared.
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Taylor polynomial solutions of linear differential equations

Applied Mathematics and Computation, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Taylor Polynomials

The College Mathematics Journal, 1989
David P. Kraines, Vivian Y. Kraines, David A. Smith   +2 more
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Behavior of the Roots of the Taylor Polynomials of Riemann’s $$\xi $$ ξ Function with Growing Degree

Constructive Approximation, 2018
Robert Jenkins
exaly  

The Taylor Polynomial

2006
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