Elliptic Integral - Complete Elliptic Integral of The Third Kind

The complete elliptic integral of the third kind Π can be defined as

Note that sometimes the elliptic integral of the third kind is defined with an inverse sign for the characteristic n,

Read more about this topic:  Elliptic Integral

Famous quotes containing the words complete, integral and/or kind:

    “For which of you, intending to build a tower, does not first sit down and estimate the cost, to see whether he has enough to complete it?”
    —Bible: New Testament, Luke 14:28.

    “An island always pleases my imagination, even the smallest, as a small continent and integral portion of the globe. I have a fancy for building my hut on one. Even a bare, grassy isle, which I can see entirely over at a glance, has some undefined and mysterious charm for me.”
    —Henry David Thoreau (1817–1862)

    “An honest woman’s son, for indeed my father did something smack, something grow to, he had a kind of taste.”
    —William Shakespeare (1564–1616)