Geodesic
Maximum modulus in a bidisc of analytic functions of bounded ${\bf L}$-index and an analogue of Hayman's theorem
Mathematica Bohemica, Tome 143 (2018) no. 4, pp. 339-354
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We generalize some criteria of boundedness of $\mathbf {L}$-index in joint variables for in a bidisc analytic functions. Our propositions give an estimate the maximum modulus on a skeleton in a bidisc and an estimate of $(p+1)$th partial derivative by lower order partial derivatives (analogue of Hayman's theorem).
We generalize some criteria of boundedness of $\mathbf {L}$-index in joint variables for in a bidisc analytic functions. Our propositions give an estimate the maximum modulus on a skeleton in a bidisc and an estimate of $(p+1)$th partial derivative by lower order partial derivatives (analogue of Hayman's theorem).
DOI : 10.21136/MB.2017.0110-16
Classification : 30D60, 32A10, 32A17, 32A30
Keywords: analytic function; bidisc; bounded ${\mathbf L}$-index in joint variables; maximum modulus; partial derivative; Cauchy's integral formula 
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Bandura, Andriy; Petrechko, Nataliia; Skaskiv, Oleh. Maximum modulus in a bidisc of analytic functions of bounded ${\bf L}$-index and an analogue of Hayman's theorem. Mathematica Bohemica, Tome 143 (2018) no. 4, pp. 339-354. doi: 10.21136/MB.2017.0110-16

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