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