ON MULTIPLE MATHIEU (a;ʎ)-SERIES.

In this paper we introduce the multiple Mathieu .a; /-series. We obtain two integral representations for multiple Mathieu .a; /-series applying Ivanov’s and then Pog´any’s variant of multiple Euler-Maclaurin summation formula. Then, a bilateral bounding inequality is derived by virtue of the achieved integral expressions. Finally, the special case of multiple Mathieu .a; /-series, the multiple Mathieu a-series has been investigated. [ABSTRACT FROM AUTHOR]