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 …

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.

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 ...

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}^ …

Dec 22, 2024 · Let $\theta,\theta_1,\theta_2,\theta_3$ denote the Jacobian theta functions with the notation used in Jordan's Course d'Analyse, which are most convenient to work with while doing …

Oct 1, 2023 · Ramanujan found a way to do this by developing his own theory of theta functions. It needs a bit of work with hypergeometric functions and may not really fit in one answer.

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