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 modular functions ${\displaystyle f,f_{1},f_{2}}$ 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
• Bessel function § Weber functions

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