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In this paper several integral representations for the generalized fractional order Mathieu type power series $S_\mu  (r;x) = \sum\limits_{n = 1}^\infty  {\frac{{2nx^n }} {{(n^2  + r^2 )^{\mu  + 1} }}(r \in \mathbb{R},\mu  &gt; 0,|x| \leqslant 1)}  $ are presented. Also new integral expressions are derived for the Butzer-Flocke-Hauss (BFH) complete Omega function.

Integral expressions for Mathieu-type power series and for the Butzer-Flocke-Hauss Ω-function