Holonomic functions

This article discusses holonomic functions, defined as solutions to linear differential equations with polynomial coefficients. It notes that most special functions in mathematical physics are holonomic, with the majority satisfying second-order equations. The author references a report that surveys functions in Abramowitz and Stegun, providing the differential equations for those that are holonomic. The article highlights that coefficients are usually low-order polynomials, and exceptions like the gamma function are non-holonomic. It serves as a technical overview for those interested in special functions and differential equations.