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A note on the location of complex zeros of solutions of linear differential equations
Author(s):
Steven B.
Bank
Journal:
Bull. Amer. Math. Soc.
18
(1988),
35-38.
MSC (1985):
Primary 34A20, 34C10
MathSciNet review:
919655
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Additional information
References:
- 1.
- S. Bank, On the asymptotic behavior of solutions near an irregular singularity, Proc. Amer. Math. Soc. 18 (1967), 15-21. MR 212243
- 2.
- S. Bank, An asymptotic analog of the Fuchs regularity theorem, J. Math. Anal. Appl. 16 (1966), 138-151. MR 212242
- 3.
- S. Bank, On solutions having large rate of growth for nonlinear differential equations in the complex domain, J. Math. Anal. Appl. 22 (1968), 129-143. MR 252728
- 4.
- S. Bank, On the structure of a fundamental set of solutions near an irregular singularity, Funkcial. Ekvac. 11 (1968), 87-100. MR 240404
- 5.
- S. Bank, On the location of complex zeros of solutions of periodic differential equations, Appl. Anal. 22 (1986), 111-132. MR 854544
- 6.
- E. W. Chamberlain, Families of principal solutions of ordinary differential equations, Trans. Amer. Math. Soc. 107 (1963), 261-272. MR 148974
- 7.
- E. Hille, Analytic function theory, Volume II, Chelsea, New York, 1973.
- 8.
- W. Strodt, Contributions to the asymptotic theory of ordinary differential equations in the complex domain, Mem. Amer. Math. Soc., No. 13, 1954. MR 67290
- 9.
- W. Strodt, Principal solutions of ordinary differential equations in the complex domain, Mem. Amer. Math. Soc. No. 26, 1957. MR 92901
- 10.
- H. Wittich, Eindeutige Lösungen der Differentialgleichung w' = R(z, w), Math. Z. 74 (1960), 278-288. MR 120413
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Additional Information:
DOI:
10.1090/S0273-0979-1988-15586-3
PII:
S 0273-0979(1988)15586-3
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