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In this paper, we determine the radius of λ‐uniform convexity, λ‐starlikeness, and α‐convexity of order δ for the Weierstrass canonical product of an entire function as a root having smallest modulus and argument ϕ of a functional equation. As special cases, we also determine the radius of λ‐uniform convexity, λ‐starlikeness, and α‐convexity of order δ for the entire function 1/Γ.