Abstract
In this paper, we obtain inequalities for some integrals involving the modified Lommel function of the first kind t_{mu ,nu }(x). In most cases, these inequalities are tight in certain limits. We also deduce a tight double inequality, involving the modified Lommel function t_{mu ,nu }(x), for a generalized hypergeometric function. The inequalities obtained in this paper generalise recent bounds for integrals involving the modified Struve function of the first kind.
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