Linear Differential Equations with Exceptional Fundamental Sets. II
Copyright policy )Linear Differential Equations with Exceptional Fundamental Sets. II
We prove a sharp order estimate for entire functions of completely regular growth, whose zeros are distributed near finitely many raysargz=ωj\arg z = {\omega _j}in terms of the anglesωj{\omega _j}. This result then leads immediately to a proof of a conjecture of Hellerstein and Rossi concerning the distribution of zeros of the solutions of linear differential equations with polynomials coefficients.
polynomial coefficients, Linear ordinary differential equations and systems, linear differential equation, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, Ordinary differential equations in the complex domain
polynomial coefficients, Linear ordinary differential equations and systems, linear differential equation, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, Ordinary differential equations in the complex domain
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