Real zeros of solutions of second order linear differential equations (Q810700)

From MaRDI portal





scientific article; zbMATH DE number 4214389
Language Label Description Also known as
English
Real zeros of solutions of second order linear differential equations
scientific article; zbMATH DE number 4214389

    Statements

    Real zeros of solutions of second order linear differential equations (English)
    0 references
    0 references
    1991
    0 references
    The author investigates the second order linear differential equation in the complex plane (1) \(f''+A(z)f=0\), where A(z) is a transcendental entire function of order \(\rho <+\infty\) with \(k=2\rho\) distinct finite asymptotic values. For two linearly independent solutions \(f_ 1\), \(f_ 2\) of (1), the lower exponent of convergence of the zeros (resp. real zeros) of the function \(f_ 1f_ 2\) is determined.
    0 references
    growth estimates
    0 references
    Nevanlinna theory
    0 references
    second order linear differential equation in the complex plane
    0 references
    lower exponent of convergence
    0 references
    real zeros
    0 references
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references