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Higher-order differential operators having bivariate orthogonal polynomials as eigenfunctions
Misael E. Marriaga
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Current Contraceptive Status Among Females Ages 15-49: United States, 2022-2023.
NCHS Data BriefDaniels K, Abma JC.
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Seafood Consumption Among Youth and Adults: United States, August 2021-August 2023.
NCHS Data BriefAnsai N +3 more
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GLP-1 Injectable Use Among Adults With Diagnosed Diabetes: United States, 2024.
NCHS Data BriefVahratian A, Warren A.
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Constructing Orthogonal Polynomials
Missouri Journal of Mathematical Sciences, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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1966
Publisher Summary This chapter focuses on simple sets of orthogonal polynomials. These sets of polynomials arise in various ways, one of which is as the solutions of a class of differential equations. It has been shown that, under certain conditions, given any interval and a positive weight function on that interval, there exists a corresponding set ...
Wilhelm Magnus +2 more
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Publisher Summary This chapter focuses on simple sets of orthogonal polynomials. These sets of polynomials arise in various ways, one of which is as the solutions of a class of differential equations. It has been shown that, under certain conditions, given any interval and a positive weight function on that interval, there exists a corresponding set ...
Wilhelm Magnus +2 more
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Orthogonal Polynomial Wavelets
Numerical Algorithms, 2002The authors construct orthogonal polynomial wavelets and extend some results of \textit{B. Fischer} and \textit{J. Prestin} [Math. Comput. 66, No. 220, 1593-1618 (1997; Zbl 0896.42020)]. Let \(P_j\) \((j= 0,1,\dots)\) be orthonormal polynomials on \([a,b]\) \((-\infty\leq a< b\leq\infty)\) with respect to a nonnegative weight function \(w\).
Fischer B, Themistoclakis W
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SIAM Journal on Numerical Analysis, 1981
We give the relation between Hermite–Pade approximants and vector orthogonal polynomials. An algorithm for calculating vector orthogonal polynomials near the diagonal is described. An exact multiple integral formula for vector orthogonal polynomials is proved.
Burley, S. K., John, S. O., Nuttall, J.
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We give the relation between Hermite–Pade approximants and vector orthogonal polynomials. An algorithm for calculating vector orthogonal polynomials near the diagonal is described. An exact multiple integral formula for vector orthogonal polynomials is proved.
Burley, S. K., John, S. O., Nuttall, J.
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Siberian Mathematical Journal, 2001
The author presents an extension of a system of orthogonal polynomials on a finite set by using a transformation of weights of orthogonality. It is shown that if certain weights of orthogonality are negative, then the roots of the system of polynomials (under a specific selection of weights) are real and, moreover, these roots are weakly separated. The
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The author presents an extension of a system of orthogonal polynomials on a finite set by using a transformation of weights of orthogonality. It is shown that if certain weights of orthogonality are negative, then the roots of the system of polynomials (under a specific selection of weights) are real and, moreover, these roots are weakly separated. The
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