Linear differential equations with exceptional fundamental sets. II
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 rays<inline-formula content-type="math/mathml"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="arg z equals omega Subscript j"><mml:semantics><mml:mrow><mml:mi>arg</mml:mi><mml:mo><!-- --></mml:mo><mml:mi>z</mml:mi><mml:mo>=</mml:mo><mml:mrow class="MJX-TeXAtom-ORD"><mml:msub><mml:mi>ω<!-- ω --></mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:mrow><mml:annotation encoding="application/x-tex">\arg z = {\omega _j}</mml:annotation></mml:semantics></mml:math></inline-formula>in terms of the angles<inline-formula content-type="math/mathml"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="omega Subscript j"><mml:semantics><mml:mrow class="MJX-TeXAtom-ORD"><mml:msub><mml:mi>ω<!-- ω …