The Bloch-Gruneisen function of arbitrary order and its series representations

Abstract

We derive several series representations for the Bloch-Gruneisen function of an arbitrary (integer or noninteger) order and show that it is related to other, more familiar special functions more commonly used in mathematical physics. In particular, the Bloch-Gruneisen function of integer order is expressible in terms of the Bose-Einstein function of different orders.