Anger Function - Relation Between Weber and Anger Functions

Relation Between Weber and Anger Functions

The Anger and Weber functions are related by

so in particular if ν is not an integer they can be expressed as linear combinations of each other. If ν is an integer then Anger functions Jν are the same as Bessel functions Jν, and Weber functions can be expressed as finite linear combinations of Struve functions.

Read more about this topic:  Anger Function

Famous quotes containing the words relation between, relation, weber, anger and/or functions:

    There is a certain standard of grace and beauty which consists in a certain relation between our nature, such as it is, weak or strong, and the thing which pleases us. Whatever is formed according to this standard pleases us, be it house, song, discourse, verse, prose, woman, birds, rivers, trees, room, dress, and so on. Whatever is not made according to this standard displeases those who have good taste.
    Blaise Pascal (1623–1662)

    Our sympathy is cold to the relation of distant misery.
    Edward Gibbon (1737–1794)

    No sociologist ... should think himself too good, even in his old age, to make tens of thousands of quite trivial computations in his head and perhaps for months at a time. One cannot with impunity try to transfer this task entirely to mechanical assistants if one wishes to figure something, even though the final result is often small indeed.
    —Max Weber (1864–1920)

    The best emotions to write out of are anger and fear or dread.... The least energizing emotion to write out of is admiration. It is very difficult to write out of because the basic feeling that goes with admiration is a passive contemplative mood.
    Susan Sontag (b. 1933)

    Mark the babe
    Not long accustomed to this breathing world;
    One that hath barely learned to shape a smile,
    Though yet irrational of soul, to grasp
    With tiny finger—to let fall a tear;
    And, as the heavy cloud of sleep dissolves,
    To stretch his limbs, bemocking, as might seem,
    The outward functions of intelligent man.
    William Wordsworth (1770–1850)