Steepest-descents integral representations for dominant solutions of linear second-order differential equations
Steepest-descents integral representations for dominant solutions of linear second-order differential equations
It is shown that for certain linear second-order differential equations, there are solutions (usually referred to as recessive solutions) which have integral representations of Stieltjes transform type.It also is shown that there are special dominant solutions (the solution Bi of Airy's equation is an archetype) which have integral representations of …