On the coefficient domains of univalent functions (Q917738)

From MaRDI portal





scientific article; zbMATH DE number 4156857
Language Label Description Also known as
English
On the coefficient domains of univalent functions
scientific article; zbMATH DE number 4156857

    Statements

    On the coefficient domains of univalent functions (English)
    0 references
    0 references
    1990
    0 references
    The author considers functions \(f\) which are analytic in the interior of a certain ellipse and there satisfies \(\Re\{\sqrt{z^ 2-1}f'(z)\}>0.\) Such a function can be expanded in a series of Chebyshev polynomials and the author finds bounds on the coefficients in this expansion.
    0 references
    series of Chebyshev polynomials
    0 references

    Identifiers