chapter  10
11 Pages

Legendre transforms

ByBaidyanath Patra

As an aid to solve some special type of boundary value problems this chapter deals with the Legendre transform whose kernel is a Legendre polynomial. Initially, definition and basic operational properties of the transform are discussed based on the papers of Churchill (J.Math. and Physics, 33. 165, 1954) and Churchill and Dolph (Proc. Amer. Math, Sec, 5, 93, 1954).