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The derivative of a meromorphic function [PDF]

open access: yesProceedings of the American Mathematical Society, 1956
1. It has been shown by Valiron [2] and Whittaker [3] that the derivative of a meromorphic function of finite order is of the same order as the function itself. This result, as pointed out by Whittaker, is equivalent to the following. THEOREM.
J. Clunie
semanticscholar   +2 more sources

Rings of meromorphic functions [PDF]

open access: goldBulletin of the American Mathematical Society, 1966
Made available in DSpace on 2014-12-09T22:17:25Z (GMT). No. of bitstreams: 1 6604210.pdf: 7899549 bytes, checksum: 501eb7fec404609518a282d07bfd35f8 (MD5) Previous issue date: 1965 ; Embargo set by: Seth Robbins for item 61720 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs ; Restricted to ...
James J. Kelleher
openalex   +4 more sources

On factorization of meromorphic functions [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1968
Fred Gross
  +5 more sources

Rings of Meromorphic Functions [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1958
H. L. Royden
openalex   +2 more sources

The three-loop equal-mass banana integral in ε-factorised form with meromorphic modular forms [PDF]

open access: yesJournal of High Energy Physics, 2022
We show that the differential equation for the three-loop equal-mass banana integral can be cast into an ε-factorised form with entries constructed from (meromorphic) modular forms and one special function, which can be given as an iterated integral of ...
Sebastian Pögel   +2 more
semanticscholar   +1 more source

Fuzzy Differential Subordination for Meromorphic Function

open access: yesAxioms, 2022
This paper is related to notions adapted from fuzzy set theory to the field of complex analysis, namely fuzzy differential subordinations. This work aims to present new fuzzy differential subordinations for which the fuzzy best dominant and fuzzy best ...
S. El-Deeb   +3 more
semanticscholar   +1 more source

On the Fekete-Szegö Problem for Meromorphic Functions Associated with p, q-Wright Type Hypergeometric Function

open access: yesSymmetry, 2021
Making use of a post-quantum derivative operator, we define two classes of meromorphic analytic functions. For the considered family of functions, we aim to investigate the sharp bounds’ values in the case of the Fekete–Szegö problem.
Adriana Cătaș
semanticscholar   +1 more source

On permutable meromorphic functions [PDF]

open access: yesAequationes mathematicae, 2016
We study the class $\mathcal{M}$ of functions meromorphic outside a countable closed set of essential singularities. We show that if a function in $\mathcal{M}$, with at least one essential singularity, permutes with a non-constant rational map $g$, then $g$ is a M bius map that is not conjugate to an irrational rotation.
Osborne, J. W., Sixsmith, D. J.
openaire   +3 more sources

Continuity of the Green function in meromorphic families of polynomials [PDF]

open access: yesAlgebra & Number Theory, 2017
We prove that along any marked point the Green function of a meromorphic family of polynomials parameterized by the punctured unit disk explodes exponentially fast near the origin with a continuous error term.
C. Favre, T. Gauthier
semanticscholar   +1 more source

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