Question

Answer some questions about fractional calculus, which studies derivatives of fractional orders. For 10 points each:
[10e] The power rule of normal calculus can be generalized for fractional order by replacing this function in the coefficient by the gamma function. This function of n is the product of all positive integers smaller or equal to n.
ANSWER: factorial
[10m] The half derivative of x is equal to 2 times the square root of x divided by the square root of this number. The Riemann zeta of 2 is equal to this number squared over 6.
ANSWER: pi
[10h] The half derivative of the exponential function contains a term that is proportional to e to the x times this function of the square root of x. Defined as the integral of the Gaussian exponential, this function is proportional to the area under the normal distribution.
ANSWER: error function [or erf]
<Leo Law, Other Science>

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