نتایج جستجو برای: exponential second kind chebyshev functions

تعداد نتایج: 1203503  

2009
Grzegorz Rza̧dkowski

Abstract We recall two formulas, due to C. Jordan, for the successive derivatives of functions with an exponential or logarithmic inner function. We apply them to get addition formulas for the Stirling numbers of the second kind and for the Stirling numbers of the first kind. Then we show how one can obtain, in a simple way, explicit formulas for the generalized Euler polynomials, generalized E...

2012
G. E. Okecha C. E. Onwukwe

Abstract Two efficient quadrature formulae have been developed for evaluating numerically certain singular integral equations of the first kind over the finite interval [-1,1]. Central to this work is the application of four special cases of the Jacobi polynomials P n (x), whose zeros served as interpolation and collocation nodes: (i) α = β = −2 , Tn(x), the first kind Chebyshev polynomials (ii...

Journal: :Journal of Computational and Applied Mathematics 1991

Journal: :Applied Numerical Mathematics 2016

Journal: :computational methods for differential equations 0
mohamed a. ramadan menoufia university kamal raslan al-azhar university mahmoud nassear al- azhar university

the purpose of this study is to present an approximate numerical method for solving high order linear fredholm-volterra integro-differential equations in terms of rational chebyshev functions under the mixed conditions. the method is based on the approximation by the truncated rational chebyshev series. finally, the effectiveness of the method is illustrated in several numerical examples. the p...

Journal: :International Journal of Electrical and Computer Engineering 2021

In this paper, the Chebyshev-I conformable differential equation is considered. A proper power series examined; there are two solutions, even solution and odd solution. The Rodrigues’ type formula also allocated for polynomials.

Journal: :Foundations of Computational Mathematics 2021

Sparse interpolation refers to the exact recovery of a function as short linear combination basis functions from limited number evaluations. For multivariate functions, case monomial is well studied, now exponential functions. Beyond Chebyshev polynomial obtained tensor products univariate polynomials, theory root systems allows define variety generalized polynomials that have connections topic...

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