• Title/Summary/Keyword: Wiman function

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Growth order of Meromorphic Solutions of Higher-order Linear Differential Equations

  • Xu, Junfeng;Zhang, Zhanliang
    • Kyungpook Mathematical Journal
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    • v.48 no.1
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    • pp.123-132
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    • 2008
  • In this paper, we investigate higher-order linear differential equations with entire coefficients of iterated order. We improve and extend the result of L. Z. Yang by using the estimates for the logarithmic derivative of a transcendental meromorphic function due to Gundersen and the extended Wiman-Valiron theory by Wang and Yi. We also consider the nonhomogeneous linear differential equations.

ON A GENERALIZATION OF THE P$\'{O}$LYA-WIMAN CONJECTURE

  • Kim, Young-One
    • Communications of the Korean Mathematical Society
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    • v.9 no.4
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    • pp.825-830
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    • 1994
  • This paper is concerned with the zeros of successive derivatives of real entire functions. In order to state our results, we introduce the following notations : An entire function which assumes only real values on the real axis is said to be a real entire function. Thus, if a complex number is a zero of a real entire function, then its conjugate is also a zero of the same function.

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