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. УДК 517.521 . О линейной независимости значений функций Лерха / Е. А. Уланский. // Вестн. Моск. ун-та. Сер. 1, Математика. Механика. 2009. ? 2. С. 56-59. Оценивается количество линейно независимых чисел среди 1,\Phi_1 \left( z,\frac{p}{q}\right),\ldots, \Phi_a \left( z,\frac{p}{q}\right) в зависимости от натурального числа \( a,\ \) где \Phi _s \left(z,\frac{p}{q}\right),\ s=1,2,\ldots , функции Лерха. Ключевые слова : функции Лерха, обобщенные полилогарифмы, линейная независимость. Библиогр. 3.
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X 1. y = f (x ) , Left = Right y (1) = 2 , y (1), y (1) . Left = Right 2. u (x , y ), v (x , y ) Left = Right u (1, 2) = 3, v (1, 2) = 4 . du, dv , ux (1, 2) . 3. F (z x , z y , z , x , y ) = 0 z (x , y ) w (u, v ) f1(x, y, z, u, v, w ) = 0, f2 (x , y, z, u, v, w ) = 0, f3 (x , y, z, u, v, w ) = 0 . 4. u x , y . 5. C u x , y, z F x , y, z = 0 . () ( ) ( )
... О линейной независимости значений функций Лерха / Е. А. Уланский. ... 1, Математика. Механика. ... Оценивается количество линейно независимых чисел среди 1,\Phi_1 \left( z,\frac{p}{q}\right),\ldots, \Phi_a \left( z,\frac{p}{q}\right) в зависимости от натурального числа \( a,\ \) где \Phi _s \left(z,\frac{p}{q}\right),\ s=1,2,\ldots , функции Лерха. Ключевые слова : функции Лерха, обобщенные полилогарифмы, линейная независимость. ...
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Ссылки http://www.eng.math.msu.su/download/Margaret_Thatcher_article_and_vocabulary.pdf -- 2858.7 Кб -- 02.10.2011 Похожие документы
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