Tables of values of the modified Mathieu functions

Abstract

When the above infinite hyperbolic series are substituted into equation (2), recurrence relationships inay be derivred for allowable values of the characteristic numbers a.-+, (p = 0 or 1) for the even functions, or b2n+ (s = 1 or 2) for the odd functions for a given value of q. Recurrence equations also give the allowable values of the Fourier coefficients A (2`3 and B 4n+ s The formulas for both the characteristic numbers and the Fourier coefficients associated with each type of solution [1, p. 29, 371] are given below: For y = Ce2^(i, q)