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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/109364


    Title: GROWTH OF SOLUTIONS OF SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS WITH EXTREMAL FUNCTIONS FOR DENJOY'S CONJECTURE AS COEFFICIENTS
    Authors: Long, Jianren
    Keywords: Complex differential equation;Borel exceptional value;Infinite order;Denjoy's conjecture;Deficient value
    Date: 2016-06
    Issue Date: 2017-01-17 10:04:27 (UTC+8)
    Publisher: 淡江大學出版中心
    Abstract: The classical problem of finding conditions on the entire coefficients A(z)A(z) and B(z)B(z) guaranteeing that all nontrivial solutions of f′′+A(z)f′+B(z)f=0f″+A(z)f′+B(z)f=0 are of infinite order is discussed. Some such conditions which involve deficient value, Borel exceptional value and extremal functions for Denjoy's conjecture are obtained.
    Relation: Tamkang Journal of Mathematics 47(2), pp.237-247
    DOI: 10.5556/j.tkjm.47.2016.1914
    Appears in Collections:[Tamkang Journal of Mathematics] v.47 n.2

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