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Hace 12 horas · Motivation (+) interpolates the factorial function to non-integer values.The gamma function can be seen as a solution to the interpolation problem of finding a smooth curve = that connects the points of the factorial sequence: (,) = (,!) for all positive integer values of .The simple formula for the factorial, x! = 1 × 2 × ⋯ × x is only valid when x is a positive integer, and no ...
Hace 12 horas · Terminology. The principal branch W 0 is denoted Wp in the Digital Library of Mathematical Functions, and the branch W −1 is denoted Wm there.. The notation convention chosen here (with W 0 and W −1) follows the canonical reference on the Lambert W function by Corless, Gonnet, Hare, Jeffrey and Knuth.. The name "product logarithm" can be understood as this: Since the inverse function of f ...
