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A family of analytic functions whose members have equal number of zeros - MaRDI portal

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A family of analytic functions whose members have equal number of zeros (Q1080972)

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scientific article; zbMATH DE number 3968984
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English
A family of analytic functions whose members have equal number of zeros
scientific article; zbMATH DE number 3968984

    Statements

    A family of analytic functions whose members have equal number of zeros (English)
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    1981
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    Sufficient conditions are given for \(pf(z)+qg(z)\) to have (in a region) the same number of zeros for very nonnegative real number p and q not both zero, where f(z) as well as g(z) is an analytic function.
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    zeros
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