Introductory Background -- The transform of $x^r$ -- The transform of $P_m(x)$ -- Expansion formulae for $x^r$ and $P_m(x)$ -- A series representation of the general transform of f(x) -- Theorems -- Transforms of derivatives and derivatives of transforms -- Conclusions

Thesis (M.A.)-- University of Wichita, College of Liberal Arts and Sciences, Dept. of Mathematics