Limits of an increasing sequence of Riemann surfaces

Let [Formula: see text] be a Riemann surface which admits an exhaustion by open subsets [Formula: see text] each of which is biholomorphic to a fixed planar domain [Formula: see text]. We describe [Formula: see text] in terms of [Formula: see text] under various assumptions on the boundary components of [Formula: see text].

Authors

Diganta Borah (ORCID: https://orcid.org/0000-0003-4135-5150)
Jiju Mammen
Prachi Mahajan (ORCID: https://orcid.org/0009-0008-7339-2806)

Institutions

Indian Institute of Technology Bombay (IN)
Indian Institute of Science Education and Research Pune (IN)
Indian Institute of Technology Palakkad (IN)

Publication Details

Journal: International Journal of Mathematics
Published: 2025-05-09
DOI: https://doi.org/10.1142/s0129167x25500326
Primary Topic: Meromorphic and Entire Functions
Type: article
Field-Weighted Citation Impact: 0.00

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article

Limits of an increasing sequence of Riemann surfaces

Diganta Borah, Jiju Mammen, Prachi Mahajan

May 9, 2025

International Journal of Mathematics

Meromorphic and Entire Functions

article

Limits of an increasing sequence of Riemann surfaces

Diganta Borah, Jiju Mammen, Prachi Mahajan

May 9, 2025article en

Abstract

Let [Formula: see text] be a Riemann surface which admits an exhaustion by open subsets [Formula: see text] each of which is biholomorphic to a fixed planar domain [Formula: see text]. We describe [Formula: see text] in terms of [Formula: see text] under various assumptions on the boundary components of [Formula: see text].

International Journal of MathematicsVol. 36(10)

Indian Institute of Technology Bombay (IN), Indian Institute of Science Education and Research Pune (IN), Indian Institute of Technology Palakkad (IN)

Openalex Percentile: Top 86%

Meromorphic and Entire Functions

DOI Source OpenAlex

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