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In mathematics, a functional square root is a square root of a function with respect to the operation of function composition. Mathematics is the body of Knowledge and Academic discipline that studies such concepts as Quantity, Structure, Space and In Mathematics, a square root of a number x is a number r such that r 2 = x, or in words a number r whose The Mathematical concept of a function expresses dependence between two quantities one of which is given (the independent variable, argument of the function In Mathematics, a composite function represents the application of one function to the results of another In other words, the functional square root of a function g is a function f satisfying f(f(x)) = g(x) for all x. For example, f(x) = 2x2 is a functional square root of g(x) = 8x4.

The functional square root of the exponential function was studied by Hellmuth Kneser in 1950. The exponential function is a function in Mathematics. The application of this function to a value x is written as exp( x) Hellmuth Kneser ( April 16, 1898 - August 23, 1973) was a German Mathematician, who made notable contributions to Group

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This mathematical analysis-related article is a stub. Fractional calculus is a branch of Mathematical analysis that studies the possibility of taking Real number powers of the Differential operator Analysis has its beginnings in the rigorous formulation of Calculus. You can help Wikipedia by expanding it.

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