Integral representation of a series which includes the Mathieu a-series

Integral expression is deduced for the series S(r,μ, ν, a) = ∞ n=1 2F1 ν−μ+1 2 , ν−μ 2 + 1;ν + 1;− r2 a(n)2 a(n)ν−μ+1(a(n)2 + r2)μ−1/2 , where r >0,μ>1/2, ν +1<μand a: 0