On Subharmonic and Entire Functions of Small Order: After Kjellberg

نویسندگان

چکیده

Abstract We give a general method for constructing examples of transcendental entire functions given small order, which allows precise control over the size and shape set where minimum modulus function is relatively large. Our involves novel technique to obtain an upper bound growth positive harmonic defined in certain type multiply connected domain, based on comparing Harnack metric hyperbolic metric, gives sharp estimate many cases. Dedicated memory Paddy Barry.

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ژورنال

عنوان ژورنال: International Mathematics Research Notices

سال: 2021

ISSN: ['1687-0247', '1073-7928']

DOI: https://doi.org/10.1093/imrn/rnab060