Sentence examples similar to function that is analytic in the from inspiring English sources

Suppose that is a function that is analytic and convex in the direction of the real axis.

Let f be a function that is analytic everywhere in Ω and on a simple closed contour Γ.

that are analytic in the unit disk.

that are analytic in the punctured unit disk.

Denote by the class of functions that are analytic and injective on, where (2.3).

Denote by the set of all functions that are analytic and injective on, where.

Notice that is analytic in.

we observe that is analytic in with.

Suppose also that is analytic in with.

It is well-known that is analytic in.

A function that is equal to its Taylor series in an open interval (or a disc in the complex plane) is known as an analytic function in that interval.