Abstract
For arbitrary 0 ≤ σ ≤ ρ ≤ σ + 1, we describe the class A ρσ of functions g(z) analytic in the unit disk \(\mathbb{D}\) = {z : ∣z∣ < 1} and such that g(z) ≠ 0, ρT[g] = σ, and ρM[g] = ρ, where
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 7, pp. 979–995, July, 2007.
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Chyzhykov, I.E. On a complete description of the class of functions without zeros analytic in a disk and having given orders. Ukr Math J 59, 1088–1109 (2007). https://doi.org/10.1007/s11253-007-0070-8
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DOI: https://doi.org/10.1007/s11253-007-0070-8