대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제53권5호
  • /
  • Pages.1291-1308
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  • 2016
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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THE BERGMAN KERNEL FOR INTERSECTION OF TWO COMPLEX ELLIPSOIDS

  • Beberok, Tomasz (Department of Applied Mathematics University of Agriculture in Krakow)
  • 투고 : 2015.06.25
  • 발행 : 2016.09.30
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초록

In this paper we obtain the closed forms of some hypergeometric functions. As an application, we obtain the explicit forms of the Bergman kernel functions for intersection of two complex ellipsoids {$z{\in}\mathbb{C}^3:{\mid}z_1{\mid}^p+{\mid}z_2{\mid}^q$ < 1, ${\mid}z_1{\mid}^p+{\mid}z_3{\mid}^r$ < 1}. We consider cases p = 6, q = r = 2 and p = q = r = 2. We also investigate the Lu Qi-Keng problem for p = q = r = 2.

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참고문헌

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