대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제58권6호
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  • Pages.1495-1506
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  • 2021
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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THE GROWTH OF SOLUTIONS OF COMPLEX DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENT HAVING FINITE DEFICIENT VALUE

  • Zhang, Guowei (School of Mathematics and Statistics Anyang Normal University)
  • 투고 : 2020.12.18
  • 심사 : 2021.03.31
  • 발행 : 2021.11.30
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초록

The growth of solutions of second order complex differential equations f" + A(z)f' + B(z)f = 0 with transcendental entire coefficients is considered. Assuming that A(z) has a finite deficient value and that B(z) has either Fabry gaps or a multiply connected Fatou component, it follows that all solutions are of infinite order of growth.

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과제정보

I would like to thank anonymous referees for a great number of valuable suggestions.

참고문헌

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