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The main purpose of this paper is to evaluate q‐Sumudu transforms of a product of q‐Bessel functions. Interesting special cases of theorems are also discussed. Further, the results proved in this paper may find certain applications of q‐Sumudu transforms to the solutions of the q‐integrodifferential equations involving q‐Bessel functions. The results may help to extend the q‐theory of orthogonal functions.