On the asymptotic behavior of a fundamental set of solutions
On the asymptotic behavior of a fundamental set of solutions
We consider <italic>n</italic>th order homogeneous linear ordinary differential equations whose coefficients have an asymptotic expansion as <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="x right-arrow normal infinity"> <mml:semantics> <mml:mrow> <mml:mi>x</mml:mi> <mml:mo stretchy="false">→<!-- → --></mml:mo> <mml:mi mathvariant="normal">∞<!-- ∞ --></mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">x \to \infty</mml:annotation> </mml:semantics> </mml:math> </inline-formula> in terms of real powers of <italic>x</italic> …