Parthasarathy's theorem

In mathematics, Weber function can refer to several different families of functions, mostly named after the physicist H. F. Weber or the mathematician H. M. Weber:

• Weber's modular functions $f,f_1,f_2$ named after the mathematician H. M. Weber
• Weber functions E_ν are solutions of an inhomogeneous Bessel equation, and are linear combinations of Anger functions if ν is not an integer, or linear combinations of Struve functions if ν is an integer
• Weber–Hermite function is another name for parabolic cylinder functions, which are solutions of Weber's (differential) equation
• Weber function is sometimes used as a name for Bessel functions of the second kind