| Hint | Function |
| Function of form f(x)=Ax^2 + Bx + C | |
| Function of form f(x)=ln(x) | |
| Function of form f(x)=1/csc(x) | |
| Function of form f(x)=x! | |
| Extension of above function to complex domain | |
| Logarithmic derivative of above function | |
| Solutions to certain differential equation and used in studying electromagnetism; also known as cylinder function | |
| Function that analytically continues f(x)=[Sum from n=1 to infinity of 1/n^x] to the complex domain | |
| Function f(x) defined as f(x)=0 for all x except for when f(x) is infinitely large at x=0 such that the total integral is 1 | |
| Function f(x) defined as f(x)=0 for negative x and f(x)=1 for positive x. Integral of above function. | |
| Function that maps quadratic irrationals to rational numbers and rational numbers to dyadic rationals on the unit interval. First defined by a German, and has a symbol in its name. | |
| Function defined as f(x)=[Sum from n=0 to infinity of (A^n)*cos(B*n*Pi*x)] with A between 0 and 1 and B a positive odd integer. Function shows fractal behaviour. | |