The modulus of Whittaker functions

2016/08/15 by Volkmer, Hans
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1608.04780

Abstract

The paper discusses some properties of the modulus |W_k,m(z)| of the Whittaker function W_k,m(z). In particular, completely monotone functions expressed in terms of |W_k,m(z)| are found. The results follow from an integral representation for products of Whittaker functions due to Erdélyi (1938).

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