Geodesic
Some Inequalities for Polynomials and Related Entire Functions II
Canadian mathematical bulletin, Tome 7 (1964) no. 4, pp. 573-595

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Let be a polynomial of degree n. Then clearly (1.1) . (1.2) .and for R > 1 (1.3) .Note that if w = p(z) maps |z|<1 on a domain D of the w-plane then the area of D is given by 
Rahman, Q. I. Some Inequalities for Polynomials and Related Entire Functions II. Canadian mathematical bulletin, Tome 7 (1964) no. 4, pp. 573-595. doi: 10.4153/CMB-1964-054-x
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     title = {Some {Inequalities} for {Polynomials} and {Related} {Entire} {Functions} {II}},
     journal = {Canadian mathematical bulletin},
     pages = {573--595},
     year = {1964},
     volume = {7},
     number = {4},
     doi = {10.4153/CMB-1964-054-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-054-x/}
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