Pole (complex Analysis) - Examples

Examples

  • The function
has a pole of order 1 or simple pole at .
  • The function
has a pole of order 2 at and a pole of order 3 at .
  • The function
has poles of order 1 at To see that, write in Taylor series around the origin.
  • The function
has a single pole at infinity of order 1.

Read more about this topic:  Pole (complex Analysis)

Famous quotes containing the word examples:

    “In the examples that I here bring in of what I have [read], heard, done or said, I have refrained from daring to alter even the smallest and most indifferent circumstances. My conscience falsifies not an iota; for my knowledge I cannot answer.”
    —Michel de Montaigne (1533–1592)

    “It is hardly to be believed how spiritual reflections when mixed with a little physics can hold people’s attention and give them a livelier idea of God than do the often ill-applied examples of his wrath.”
    —G.C. (Georg Christoph)

    “Histories are more full of examples of the fidelity of dogs than of friends.”
    —Alexander Pope (1688–1744)