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Some integrals are presented that can be expressed in terms of the QM function, which is defined as equation QM (a, b) = b^ dx x (x/a) ^M-1 (- x² + a²2) I₌-₁ (ax), equation where I₌-₁ is the modified Bessel function of order M-1. Some integrals of the QM function are also evaluated.
Albert H. Nuttall (Wed,) studied this question.