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 …

That often occuring, simply stated relations, functions, series, basic for most of our operations (and may be: even of our thinking, mentally modeling) may be called "elementary functions". …

Jun 24, 2014 · 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 …

Jul 15, 2019 · "Special" is to be seen as being opposed to "general", in the sense of "select". "General functions" refers to arbitrary functions - in the case of real number functions defined …

Apr 17, 2012 · Harmonic functions describe a multitude of physical objects, typically called potentials. There are gravitational, electric, and fluid potentials, for example. In addition, …

The Lie group and representation theory approach to special functions, and how they solve the ODEs arising in physics is absolutely amazing. I've given an example of its power below on …

$\begingroup$ A natural question at this point is whether one can obtain this answer directly rather than through special function properties. I suspect the right approach is to use a …

Questions tagged [special-functions] Ask Question This tag is for questions on special functions, useful functions that frequently appear in pure and applied mathematics (usually not including …

Dec 1, 2024 · I can't tell about all special functions/polynomials occuring in physics. But many (or may be even most) of them are solutions of certain differential equations. For example:

Feb 5, 2025 · I have been studying heat kernels for elliptic operators and working with the eigenfunction expansion method. During my computations related to the Green’s function, I …