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:

    There must be a profound recognition that parents are the first teachers and that education begins before formal schooling and is deeply rooted in the values, traditions, and norms of family and culture.
    Sara Lawrence Lightfoot (20th century)

    The definition of good prose is proper words in their proper places; of good verse, the most proper words in their proper places. The propriety is in either case relative. The words in prose ought to express the intended meaning, and no more; if they attract attention to themselves, it is, in general, a fault.
    Samuel Taylor Coleridge (1772–1834)