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For an arbitrary entire function f(z)$, let M(f,d) = max|z|=d |f(z)|. It is known that if the geometric mean of the moduli of the zeros of a polynomial p(z) of degree n is at least 1, and M(p,1) = 1, then for R > 1, M(p,R) R/2 + 1/2 if n = 1, M(p,R) Rn/2 + (3+22)Rn-2/2 if n 2. We have obtained a generalization of this result, by assuming the geometric mean of the moduli of the zeros of the polynomial to be at least k, (k > 0)
AbstractIf P(z)=∑ν=0ncνzν is a polynomial of degree n having no zeros in |z|<1, then for |β|⩽1, it w...
AbstractLet p(z) = ∑nv = 0 avzv be a polynomial of degree n and let M(p, r) = max¦z¦ = r ¦p(z)¦. It ...
For a polynomial pz of degree n, it follows from the maximum modulus theorem that maxz=R≥1pz≤Rnmaxz=...
For an arbitrary entire function f(z)$, let M(f,d) = max|z|=d |f(z)|. It is known that if the geomet...
Let f(z) be an arbitrary entire function and M(f,r) = max|z|=r |f(z)|. For a polynomial p(z) of degr...
Let P(z) be a polynomial of degree n not vanishing in |z| 1 |P(z)| in terms of R,n,k, max|z|=1 |P(z)...
Let P(z) be a polynomial of degree n not vanishing in |z| 1 |P(z)| in terms of R,n,k, max|z|=1 |P(z)...
Let f(z) be an arbitrary entire function and M(f,r) = max|z|=r |f(z)|. For a polynomial p(z) of degr...
This paper deals with the problem of finding some upper bound estimates for the maximum modulus of t...
Abstract. For an arbitrary entire function f(z), let M(f; d) = max jzj=d jf(z)j: It is known that i...
AbstractLet p(z) = ∑nv = 0 avzv be a polynomial of degree n and let M(p, r) = max¦z¦ = r ¦p(z)¦. It ...
If p(z)=∑nv=0 avzv is a polynomial of degree n, having all its zeros in |z | ≤ 1, then it was prove...
Abstract. For an arbitrary entire function f(z), let M(f,R) = max|z|=R |f(z)| and m(f, r) = min|z|...
Copyright c © 2014 Zireh, Bidkham and Ahmadi. This is an open access article distributed under the C...
AbstractIf p(z) is a polynomial of degree at most n having no zeros in ¦z¦ < 1, then according to a ...
AbstractIf P(z)=∑ν=0ncνzν is a polynomial of degree n having no zeros in |z|<1, then for |β|⩽1, it w...
AbstractLet p(z) = ∑nv = 0 avzv be a polynomial of degree n and let M(p, r) = max¦z¦ = r ¦p(z)¦. It ...
For a polynomial pz of degree n, it follows from the maximum modulus theorem that maxz=R≥1pz≤Rnmaxz=...
For an arbitrary entire function f(z)$, let M(f,d) = max|z|=d |f(z)|. It is known that if the geomet...
Let f(z) be an arbitrary entire function and M(f,r) = max|z|=r |f(z)|. For a polynomial p(z) of degr...
Let P(z) be a polynomial of degree n not vanishing in |z| 1 |P(z)| in terms of R,n,k, max|z|=1 |P(z)...
Let P(z) be a polynomial of degree n not vanishing in |z| 1 |P(z)| in terms of R,n,k, max|z|=1 |P(z)...
Let f(z) be an arbitrary entire function and M(f,r) = max|z|=r |f(z)|. For a polynomial p(z) of degr...
This paper deals with the problem of finding some upper bound estimates for the maximum modulus of t...
Abstract. For an arbitrary entire function f(z), let M(f; d) = max jzj=d jf(z)j: It is known that i...
AbstractLet p(z) = ∑nv = 0 avzv be a polynomial of degree n and let M(p, r) = max¦z¦ = r ¦p(z)¦. It ...
If p(z)=∑nv=0 avzv is a polynomial of degree n, having all its zeros in |z | ≤ 1, then it was prove...
Abstract. For an arbitrary entire function f(z), let M(f,R) = max|z|=R |f(z)| and m(f, r) = min|z|...
Copyright c © 2014 Zireh, Bidkham and Ahmadi. This is an open access article distributed under the C...
AbstractIf p(z) is a polynomial of degree at most n having no zeros in ¦z¦ < 1, then according to a ...
AbstractIf P(z)=∑ν=0ncνzν is a polynomial of degree n having no zeros in |z|<1, then for |β|⩽1, it w...
AbstractLet p(z) = ∑nv = 0 avzv be a polynomial of degree n and let M(p, r) = max¦z¦ = r ¦p(z)¦. It ...
For a polynomial pz of degree n, it follows from the maximum modulus theorem that maxz=R≥1pz≤Rnmaxz=...
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