An Essay Toward a Unified Theory of Special Functions

Equation Theory Number theory Hermite polynomials Addition Laguerre polynomials Power series Rectangle Remainder Continuous function Boundary value problem Integer Special functions Linear differential equation Hypergeometric function Exponential function Polynomial Mathematical induction Ordinary differential equation Theorem Parameter Functional equation Differential equation Mathematician Combination Enumération Asymptotic formula Bessel function Potential theory Coefficient Factorial Laplace-Transform Change of variables Antiderivative Beta Function Existential quantification Corollary Legendre function Explicit Formula Linear difference equation Natural Number Function (mathematics) Periodic function Recurrence Relation Polygamma function summation Simple function Variable (mathematics) Monomial Singular solution Sequent Uniqueness theorem Scientific notation Special case Without loss of generality