The Minimum Modulus of Large Integral Functions
چکیده
Introduction 1. THIS paper embodies mainly the proof of results announced previously (Hayman (5)). Let f(z) be a non-constant integral function and p u t
اسناد مشابه
A Generalized Extension of the Hadamard-type Inequality for a Convex Function Defined on the Minimum Modulus of Integral Functions
The minimum modulus of integral functions of small order
Sharp Estimates for the Maximum over Minimum Modulus of Rational Functions
Let m, n ≥ 0, λ > 1, and R be a rational function with numerator, denominator of degree ≤ m,n, respectively. In several applications, one needs to know the size of the set S ⊂ [0, 1] such that for r ∈ S, max |z|=r |R (z)| / min |z|=r |R (z)| ≤ λ. In an earlier paper, we showed th
On the Minimum Modulus of Entire Functions of Lower Order Less than One.
Sharp estimates for the maximum over minimum modulus of rational functions
A Theorem on the Minimum Modulus of Entire Functions.