Sentence examples for be an analytic function from inspiring English sources

Proposition 1.1 Let f ( z ) be an analytic function of [ p, q ] -order in Δ.

Let p be an analytic function defined on D with p ( 0 ) = 1.

[9] Let f be an analytic function in Δ and let 0 < α < ∞.

Lemma 2.9 Let f ( z ) be an analytic function of [ p, q ] -order in Δ.

Let (a(cdot )) be an analytic function in ({k:, |k|>R}) satisfying (2.1).

Theorem 3.1 Let f ( z ) be an analytic function in a simply connected region ℛ.

Let f be an analytic functions on the open disk D ( 0, R ) given by the power series f : = ∑ j = 0 ∞ α j λ j ( | λ | < R ).

A mathematical feature of the para-Hermitian conjugate is that is an analytic function of while is not.

The determinant is an analytic function in the complex frequency plane and has poles at the complex modal frequencies of the system.

where p is an analytic function in U with p ( 0 ) = 1.

Note that is an analytic function in the whole complex -plane.