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Singular points of the Hadamard composition
Ukrainian Mathematical Journal, 1990Let \(f(z)\), \(g(z)\) be power series \(f(z)=\sum_{n\geq 0}f_ nz^ n\), \(g(z)=\sum_{n\geq 0}g_ nz^ n\), let \(r_ f\), \(r_ g\) be their radii of convergence, and let \[ h(z)=\sum_{n\geq 0}h_ nz^ n \] be their Hadamard composition. Then \(r_ h\geq r_ fr_ g\). The authors prove the following. Theorem. Let \(r_ h=r_ f=r_ g=1\). If (a) the function \(f(z)\
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