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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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Analysis Mathematica, 1975
Пустьw(х)∈L[-1, +1] — неотрица тельная функция така я, что $$\frac{{\log ^ + \frac{1}{{w(x)}}}}{{\sqrt {1 - x^2 } }} \in L[ - 1, + 1]$$ и пусть {(рn(х)} — много члены, ортогональные и нормированные с весо мw(x). Мы доказываем следующие две теорем ы, являющиеся обобщен ием одного известного результа та Н. Винера. I.
P. Túrán
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Пустьw(х)∈L[-1, +1] — неотрица тельная функция така я, что $$\frac{{\log ^ + \frac{1}{{w(x)}}}}{{\sqrt {1 - x^2 } }} \in L[ - 1, + 1]$$ и пусть {(рn(х)} — много члены, ортогональные и нормированные с весо мw(x). Мы доказываем следующие две теорем ы, являющиеся обобщен ием одного известного результа та Н. Винера. I.
P. Túrán
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Orthogonal Polynomials on the Unit Circle
Encyclopedia of Special Functions: The Askey-Bateman Project, 2020ACubic Decompositionof Sequencesof Orthogonal Polynomialson the Unit Circle MANUEL ALFARO*, MARI¤A JOSE¤ CANTERO b,y and FRANCISCOMARCELLA¤ Nc,z Departamento de Matema¤ ticas,Universidad de Zaragoza, 50009 Zaragoza, Spain; Departamento de Matema¤ tica ...
Manuel Alfaroa
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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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Stochastic Duality and Orthogonal Polynomials
Springer Proceedings in Mathematics & statistics, 2017For a series of Markov processes we prove stochastic duality relations with duality functions given by orthogonal polynomials. This means that expectations with respect to the original process (which evolves the variable of the orthogonal polynomial) can
C. Franceschini, C. Giardinà
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