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Illumination by Taylor polynomials
International Journal of Mathematics and Mathematical Sciences, 2001 Let f(x) be a differentiable function on the real line ℝ, and let P be a point not on the graph of f(x). Define the illumination index of P to be the number of distinct tangents to the graph of f which pass through P.
Alan Horwitz
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Taylor Polynomials in a High Arithmetic Precision as Universal Approximators
ComputationFunction approximation is a fundamental process in a variety of problems in computational mechanics, structural engineering, as well as other domains that require the precise approximation of a phenomenon with an analytic function. This work demonstrates
Nikolaos Bakas
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Fractal and Fractional, 2022 This paper proposes an accurate numerical approach for computing the solution of two-dimensional fractional Volterra integral equations. The operational matrices of fractional integration based on the Hybridization of block-pulse and Taylor polynomials ...
Davood Jabari Sabegh +2 more
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Multiple Representations and the Understanding of Taylor Polynomials
Primus, 2009 The study of Maclaurin and Taylor polynomials entails the comprehension of various new mathematical ideas. Those polynomials are initially discussed at the college level in a calculus class and then again in a course on numerical methods.
Samer Habre
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Arab Journal of Basic and Applied SciencesIn this study, asymptotic formulas for complex order Tangent, Tangent-Bernoulli, and Tangent-Genocchi polynomials are obtained through the method of contour integration, strategically avoiding branch cuts in the process.
Cristina B. Corcino +3 more
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Applications of q-Borel distribution series involving q-Gegenbauer polynomials to subclasses of bi-univalent functions [PDF]
HeliyonThis study introduces a new class of bi-univalent functions in the open disk using q-Borel distribution series and q-Gegenbauer polynomials. It provides estimates for the Taylor coefficients |μ2| and |μ3| for this family of functions, as well as ...
T. Al-Hawary +5 more
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Applied Mathematics and Computation, 2000 In the present paper, a Taylor method is developed to find the approximate solution of high-order linear Volterra-Fredholm integro-differential equations under the mixed conditions in terms of Taylor polynomials about any point, In addition, examples ...
Sali̇H Yalçınbaş, Mehmet Sezer
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Journal of the Franklin Institute, 2006 TANAY, BEKIR/0000-0003-4066-2044WOS: 000242741500007A numerical method for solving the higher order linear difference equations with variable coefficients and mixed argument under the mixed conditions is presented.
Mustafa Gülsu +2 more
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Arab Journal of Basic and Applied SciencesSpecial functions and special polynomials have been used and studied widely in the context of Geometric function theory of Complex Analysis by the many authors.
G. Saravanan +4 more
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Solutions of Fredholm integro-differential equations by using a hybrid of block-pulse functions and Taylor polynomials [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2021 In this paper, we present numerical method for solving integro-differential equations of fractional order based on a hybrid of block-pulse functions and Taylor polynomials. Fractional derivative is described in the Caputo sense. Some numerical examples
Nattinee Khongnual, Weerachai Thadee
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