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 …

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 …

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 …

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 …

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 …

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_ …

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 ...

Feb 14, 2024 · In these cases, I usually run a numerical simulation. Numerical computations run on an entirely different route than the analytical ones. Here, the contested values differ by …

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 …

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 …