The asymptotic expansion of a generalised Mathieu series

R. B. Paris
2013 Applied Mathematical Sciences  
We obtain the asymptotic expansion of a generalised Mathieu series and its alternating variant for large complex values of the variable by means of a Mellin transform approach. Numerical examples are presented to demonstrate the accuracy of these expansions. Mathematics Subject Classification: 30E15, 30E20, 34E05
doi:10.12988/ams.2013.39492 fatcat:rmsx747wyrd7ddfoolmeesyoum