G. Gundersen

collaborators

3 papers

math.CV2020

Asymptotic integration theory for $f^{''} + P (z) f = 0$

Gary G. Gundersen, Janne Heittokangas, Amine Zemirni

Asymptotic integration theory gives a collection of results which provide a thorough description of the asymptotic growth and zero distribution of solutions of (*) $f^{''} + P (z) f = 0$ ,…

math.CV2019

Contour integral solutions of linear differential equations which include a generalization of the Airy integral

Gary G. Gundersen, Janne M. Heittokangas, Zhi-Tao Wen

The Airy integral is a well-known contour integral solution of Airy's equation which has several applications and which has been used for mathematical illustrations due to its inte…

math.CV2019

Deficient values of solutions of linear differential equations

Gary G. Gundersen, Janne Heittokangas, Zhi-Tao Wen

Differential equations of the form $f^{''} + A (z) f^{'} + B (z) f = 0$ (*) are considered, where $A (z)$ and $B (z) \neq \equiv 0$ are entire functions. The Lindelöf function is used to show t…

Asymptotic integration theory for f′′+P(z)f=0

Contour integral solutions of linear differential equations which include a generalization of the Airy integral

Deficient values of solutions of linear differential equations

Asymptotic integration theory for $f^{''} + P (z) f = 0$