Sears FunctionEdit

I want to get this right, but there are several contexts in which a “Sears function” is used in mathematics and physics. Could you confirm which context you have in mind?

  • A general mathematical/special-function entry (defining a specific function named after Sears, its integral or series representation, differential equation, properties, asymptotics, and relations to other functions like Bessel or Legendre functions)?
  • An optics or diffraction context (for example, a function that appears in the analysis of diffraction patterns, polarization, or radiative transfer)?
  • Another field where a Sears function is used (statistics, acoustics, etc.)?

If you’d like, I can proceed with a neutral, fact-based entry that treats the Sears function as a named special function in mathematics, including its typical representations, key properties, and historical notes, with encyclopedia-style cross-links and a See also section. Please specify your preference.