Generalization of proximate order and applications

DOI10.1007/s40315-021-00411-7zbMath1502.30081arXiv2007.08346OpenAlexW3197766060MaRDI QIDQ2169298

P. V. Filevych, Jouni Rättyä, I. E. Chyzhykov

Publication date: 2 September 2022

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.08346

zbMATH Keywords

entire functionsorder of growthproximate order

Mathematics Subject Classification ID

Special classes of entire functions of one complex variable and growth estimates (30D15) Function theory on the disc (30J99)

Cites Work

• Integral logarithmic means for regular functions
• On the minimum of harmonic functions
• Asymptotic behaviour of \(p\) th means of analytic and subharmonic functions in the unit disc and angular distribution of zeros
• Interpolation of analytic functions of moderate growth in the unit disc and zeros of solutions of a linear differential equation
• Canonical functions of admissible measures in the half-plane
• Regularity of growth and gaps
• THE MINIMUM MODULUS OF FUNCTIONS REGULAR AND OF FINITE ORDER IN THE UNIT CIRCLE
• Order and Type as Measures of Growth for Convex or Entire Functions
• A Flexible Proximate Order
• Zero distribution and factorization of analytic functions of slow growth in the unit disc
• Polya Peaks and the Oscillation of Positive Functions
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