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 and the …

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 Euler Gamma fun...

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 functions. The …

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 symbols. It's …

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

Nov 24, 2025 · I would like to understand how to make sense of the following divergent series, or at least to identify the appropriate analytic continuation of its general term: \begin {align} \sum_ {n=0}^ …

Nov 21, 2025 · Alternatively, if the sum cannot be expressed in closed form, can it be written in terms of Bessel functions or some other known special functions? Comments and suggestions are welcome.

Jul 2, 2025 · Explore related questions special-functions See similar questions with these tags.

Feb 6, 2025 · The basic definition for this function is the integration of sqrt (1-m (sinx)^2) from x=0 to x=z. This version of the Incomplete Elliptic Integral of the Second Kind falls under the category of …

Nov 21, 2025 · I would like to prove that $$\int_0^1 \operatorname {Li}_2 \left (\frac {1-x^2} {4}\right) \frac {2} {3+x^2} \,\mathrm dx= \frac {\pi^3 \sqrt {3}} {486}.$$ It’s ...