International Journal of Mathematics and Mathematical Sciences 
Volume 21 (1998), Issue 3, Pages 463-466
doi:10.1155/S0161171298000647

A probablistic proof of the series representation of the MacDonald function with applications

M. Aslam Chaudhry and Munir Ahmad

 Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
Received 2 October 1992; Revised 24 August 1993

Abstract

A series representation of the Macdonald function is obtained using the properties of a probability density function and its moment generating function. Some applications of the result are discussed and an open problem is posed.