ON ESTIMATES OF THE NORM OF THE HOLOMORPHIC COMPONENT OF A MEROMORPHIC FUNCTION
A A Gončar, L D Grigorjan
Abstract
A A Gončar, L D Grigorjan
Abstract
For an arbitrary simply connected domain D , an estimate is obtained for the norm of the holomorphic component of a meromorphic function having a given number of poles in D . The estimate is uniform with respect to D . Bibliography: 4 titles.
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For an arbitrary simply connected domain D , an estimate is obtained for the norm of the holomorphic component of a meromorphic function having a given number of poles in D . The estimate is uniform with respect to D . Bibliography: 4 titles.
Key concepts: Meromorphic function, Holomorphic function, Norm (philosophy), Component (thermodynamics), Mathematics, Pure mathematics, Identity theorem, Uniform norm