Connections within the group of classical constants and the imaginary unit and with other function groups

Representations through functions

The classical constants , , , , , , , and the imaginary unit can be represented as particular values of expressions that include functions (Fibonacci , algebraic roots, exponential and inverse trigonometric functions, complete elliptic integrals and , dilogarithm , gamma function , hypergeometric functions , , Meijer G function , polygamma function , Stieltjes constants , Lerch transcendent , and Hurwitz and Riemann zeta functions and ), for example:

Representations through related functions

The four classical constants , , , and and the imaginary unit can sometimes be represented through other classical constants and the imaginary unit by formulas such as the following: