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    List of mathematical functions - Wikipedia

    In mathematics, some functions or groups of functions are important enough to deserve their own names. This is a listing of articles which explain some of these functions in more detail. There is a large theory of special functions which developed out of statistics and mathematical physics. A modern, abstract … See more

    Elementary functions are functions built from basic operations (e.g. addition, exponentials, logarithms...)
    Algebraic functions
    Algebraic functions are functions that can be expressed as … See more

    Piecewise special functions
    Indicator function: maps x to either 1 or 0, depending on whether or not x belongs to some subset.
    Step function: A finite linear combination of indicator functions of half-open intervals. See more

    18th century
    The theory of special functions develops out of statistics and mathematical physics.
    1856
    Riemann introduces the Riemann zeta function in his paper on the distribution of prime numbers.
    1880s
    Hypergeometric functions are investigated by Gauss, Kummer, and others.
    1893
    Weierstrass publishes his example of a continuous function that is nowhere differentiable.
    1902
    Hilbert proposes his 16th problem on the topology of algebraic curves and surfaces, which involves theta functions.
    1920s-1930s
    Bessel functions, Legendre functions, and other special functions are applied to problems in quantum mechanics, astronomy, and electromagnetism.
    1975
    Graham, Rothschild, and Spencer publish their book on Ramsey theory, which uses the Ackermann function to bound some combinatorial quantities.

    Special functions : A programmable special functions calculator.
    Special functions at EqWorld: The World of Mathematical Equations. See more

     
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    The world's largest collection of formulas and graphics about more than 300,000 mathematical functions for the mathematics and science communities.

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