Sentence examples for deficient value from inspiring English sources

Assume that the zero is a deficient value of f ( z ) with deficiency δ ( 0, f ) = δ > 0. It follows from definition of deficiency, we easily find that, for all sufficiently large r m ( r, 1 f ) > δ 2 m ( r, f ).

Assume that Q ( z ) has an infinite deficient value and finitely many Borel directions.

If zero is a deficient value of f ( z ), then δ ( 0, G ) < 1.

Although, Example 5 implies that our theorem is general false for B z) has no deficient value ∞.

It is well known that deficient value plays an important role in the theory of value distribution of meromorphic functions.

Suppose that (A_{d} z)) has (ainmathbb{C}) as a finite deficient value and satisfying (delta a,A_{d})=2beta>0).

Suppose that A z) has p non-zero finite deficient values, a1, a2,..., a p with deficiency δ(a v, A) > 0, 1 ≤ v ≤ p and has p zero-pole accumulation rays, 0 ≤ θ1 < θ2 <... < θ p < θ1 + 2π.

Al was in deficient values in relation to the Al2O3 compound.

So A z) has p = 2 deficient values a/c and b/d.

It follows by [16] that if (A_{k} z)) is a Fabry gap series, then it has no deficient values.

Assume that f z) has q zero-pole accumulation rays and p deficient values other than 0 and ∞, then p ≤ q.