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Is the gamma function unique as an analytic continuation of the factorial function?
No it isn't! The function G(x) := Gamma(x) * (1 + c * sin(2 * pi * x)) with 0 < c < 1 is such an example. Both, the Gamma-function and G have the properties f(x+1) = x * f(x) and f(1) = 1. That's why one needs a third property to define the gamma function uniquely.
How do you derive Moment generating function of Pareto distribution?
The moment generating function for any real valued probability distribution is the expected value of e^tX provided that the expectation exists.For the Type I Pareto distribution with tail index a, this isa*[-x(m)t)^a*Gamma[-a, -x(m)t)] for t < 0, where x(m) is the scale parameter and represents the least possible positive value of X.
What are the basic idea about quadratic function derive from zero?
Convention says that they are quoted as being equal to zero. It makes life FAR easier that way.
Use derive in a sentence?
I derive that this question needs to be moved.
What is the noun for derive?
The noun forms of the verb to derive are deriver, derivation, derivative, and the gerund, deriving.
