Estimating the derivative of the Legendre polynomial |
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Authors: | V A Antonov K V Kholshevnikov V Sh Shaidulin |
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Institution: | 1.The Pulkovo Astronomical Observatory,Russian Academy of Sciences,St. Petersburg,Russia;2.St. Petersburg State University,St. Petersburg,Russia |
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Abstract: | For the derivative of the Legendre polynomial, the estimates
$
\left| {(1 - x^2 )^\alpha dP_n (x)/dx} \right| < A(n + a)^\delta
$
\left| {(1 - x^2 )^\alpha dP_n (x)/dx} \right| < A(n + a)^\delta
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Keywords: | |
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