Methods for construction of generalized moment images of a polynomial kind

Algebraic polynomials that occur in the generalized moment representation of a specified number sequence are found in the form of linear combinations of orthogonal polynomials. The coefficients of these linear combinations are computed from a system of algebraic equations and the polynomials that ar...

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Збережено в:
Бібліографічні деталі
Дата:1992
Автори: Chip , M. M., Чип, М. М.
Формат: Стаття
Мова:Українська
Опубліковано: Institute of Mathematics, NAS of Ukraine 1992
Онлайн доступ:https://umj.imath.kiev.ua/index.php/umj/article/view/8134
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Резюме:Algebraic polynomials that occur in the generalized moment representation of a specified number sequence are found in the form of linear combinations of orthogonal polynomials. The coefficients of these linear combinations are computed from a system of algebraic equations and the polynomials that are found satisfy integral and differential equations.