L$^q$ inequalities for the ${s^{th}}$ derivative of a polynomial
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Abstract:
Let $f(z)$ be an analytic function on the unit disk ${zinmathbb{C}, |z|leq 1}$, for each $q>0$, the $|f|_{q}$ is defined as followsbegin{align*}begin{split}&left|fright|_q:=left{frac{1}{2pi}int_0^{2pi}left|f(e^{itheta})right|^qdthetaright}^{1/q}, 0
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extensions of some polynomial inequalities to the polar derivative
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Journal title
volume 8 issue 2
pages 355- 362
publication date 2017-12-01
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