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The radii of convexity of some Lommel and Struve functions of the first kindare determined. For both of Lommel and Struve functions three differentnormalizations are applied in such a way that the resulting functions areanalytic in the unit disk of the complex plane. Some results on the zeros ofthe derivatives of some Lommel and Struve functions of the first kind are alsodeduced, which may be of independent interest.

Radii of convexity of some Lommel and Struve functions