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Some Inequalities for Polynomials and Related Entire Functions II

Published online by Cambridge University Press:  20 November 2018

Q. I. Rahman
Q. I. Rahman*
Affiliation:
Université de Montréal Montreal, Canada and Regional Engineering College Srinagar, Kashmir, India
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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

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 7 , Issue 4 , December 1964 , pp. 573 - 595
Copyright
Copyright © Canadian Mathematical Society 1964

References

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4. Malik, M. A., An inequality for polynomials, Canadian Mathematical Bulletin, vol. 6(1963), pp. 65–69.CrossRefGoogle Scholar
5. Rahman, Q. I., Some inequalities for polynomials and related entire functions, Illinois J. Math., vol. 5 (1961), pp. 144–151.CrossRefGoogle Scholar