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:

    It is in the nature of allegory, as opposed to symbolism, to beg the question of absolute reality. The allegorist avails himself of a formal correspondence between “ideas” and “things,” both of which he assumes as given; he need not inquire whether either sphere is “real” or whether, in the final analysis, reality consists in their interaction.
    Charles, Jr. Feidelson, U.S. educator, critic. Symbolism and American Literature, ch. 1, University of Chicago Press (1953)

    No man, not even a doctor, ever gives any other definition of what a nurse should be than this—”devoted and obedient.” This definition would do just as well for a porter. It might even do for a horse. It would not do for a policeman.
    Florence Nightingale (1820–1910)