Exponential Type - Formal Definition

Formal Definition

An holomorphic function function is said to be of exponential type if for every there exists a constant such that

for where . We say is of exponential type if is of exponential type for some . The number

is the exponential type of .

Read more about this topic:  Exponential Type

Famous quotes containing the words formal and/or definition:

    The spiritual kinship between Lincoln and Whitman was founded upon their Americanism, their essential Westernism. Whitman had grown up without much formal education; Lincoln had scarcely any education. One had become the notable poet of the day; one the orator of the Gettsyburg Address. It was inevitable that Whitman as a poet should turn with a feeling of kinship to Lincoln, and even without any association or contact feel that Lincoln was his.
    Edgar Lee Masters (1869–1950)

    Scientific method is the way to truth, but it affords, even in
    principle, no unique definition of truth. Any so-called pragmatic
    definition of truth is doomed to failure equally.
    Willard Van Orman Quine (b. 1908)