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  1. What is a special function? - Mathematics Stack Exchange

    In particular, elementary functions are also considered as special functions." Also, looking at the Wikipedia list (linked above) the indicator function, step functions, the absolute value function …

  2. What are special functions for? - Mathematics Stack Exchange

    If you read enough mathematics, you eventually come across several so-called "special functions". I'm always left wondering what on Earth these things are actually for. We have the …

  3. Reference Book on Special Functions - Mathematics Stack Exchange

    Jun 24, 2014 · 14 Now I'm studying the topic that uses the special functions frequently, so I find myself in need for some good reference book on the properties and equalities of the special …

  4. ordinary differential equations - Why Special Functions are called ...

    Jul 15, 2019 · "Special functions" are a few select functions from that set which have some sort of "interesting" properties for some or another reason and given certain names or standard …

  5. special functions - Exponential integral representation

    Aug 18, 2015 · Explore related questions special-functions exponential-function See similar questions with these tags.

  6. special functions - Closed-form solution to the transcendental …

    Feb 28, 2023 · What do you think about generalized trigonometric hyperbolic functions that correspond to the functional equation $|y|^p−|x|^q=1$ , see the book of R. Mickens …

  7. special functions - Expansions of Jacobian Theta and Jacobian …

    Dec 22, 2024 · Even though there is an enormous literature for $\theta$ -functions i am yet to see a formula of interest here. I have looked at W.W. Modern Analysis, Abramowitz and Stegun, …

  8. Newest 'special-functions' Questions - Mathematics Stack Exchange

    Nov 5, 2025 · This tag is for questions on special functions, useful functions that frequently appear in pure and applied mathematics (usually not including "elementary" functions).

  9. special functions - Derive the Rodrigues' formula for Chebyshev ...

    Dec 29, 2020 · I understand how the Rodrigues formula for all other special functions can be derived. One that for Laguerre polynomials is asked at Derive Rodrigues’ formula for Laguerre …

  10. special functions - Parameterization of the Costa-Hoffman-Meeks …

    Jun 25, 2022 · I developed a library for the evaluation of some special functions such as the Weierstrass elliptic functions. I like to add some pictures to illustrate it, and this allows to check …