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 conviction that the best way to prepare children for a harsh, rapidly changing world is to introduce formal instruction at an early age is wrong. There is simply no evidence to support it, and considerable evidence against it. Starting children early academically has not worked in the past and is not working now.”
    —David Elkind (20th century)

    “One definition of man is “an intelligence served by organs.””
    —Ralph Waldo Emerson (1803–1882)