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Zbl 0934.34076
Kinnunen, Liisa
Linear differential equations with solutions of finite iterated order.
(English)
[J] Southeast Asian Bull. Math. 22, No.4, 385-405 (1998). ISSN 0129-2021; ISSN 0219-175X/e

The author deals with complex homogeneous and nonhomogeneous linear differential equations with coefficients of finite iterated order. Several results are presented concerning the iterated order of solutions and the iterated convergence exponent of the zeros of solutions. Special attention is paid to the second-order case $$f''+ A(z) f= 0,$$ where $A(z)$ is an entire function.
[J.Saurer (Regensburg)]
MSC 2000:
*34M05 Entire and meromorphic solutions
30D35 Distribution of values (one complex variable)
34M25 Formal solutions, transform techniques

Keywords: iterated order; iterated convergence exponent; complex homogeneous and nonhomogeneous linear differential equations; solutions; entire function

Cited in: Zbl 1218.34103 Zbl 1209.34110 Zbl 1188.30043 Zbl 1169.30014 Zbl 0946.34071

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