Books by Fritz Oberhettinger

This is partially due to the fact that if c(z) corresponding to a given q,(x) by (a) is known, then c(z) belonging to xaq,(x) or more general to P xaq,(x ) (p real) is likewise known. ) A list of major contributions conce~ning Mellin trans forms is added at the end of the introduction. * . * * * . * . * * * * . * . * . * * * . * . * .

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 Orthogonal Polynomials . 12 Legendre Functions . 13 Bessel Functions of Order Zero and Unity . 15 Modified Bessel Functions .