Some integrals involving theQ_Mfunction (Corresp.)

Some integrals are presented that can be expressed in terms of the <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Q_M</tex> function, which is defined as {equation} Q_M(a,b) = ∫_b∞ dx x(x/a)M-1 exp (- x^2 + a^2/2) IM-1(ax), {equation} where <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">IM-1</tex> is the modified Bessel function of order <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">M-1</tex> . Some integrals of the <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Q_M</tex> function are also evaluated.