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The coefficients of Bell domains and the critical points of corresponding functions

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In this note, we determine the properties of the coefficients of Bell domains in the plane and find some coefficients to consist of Bell domain.

Abstract

In this note, we determine the properties of the coefficients of Bell domains in the plane and find some coefficients to consist of Bell domain.

참고문헌 (8)

  1. S. Bell, "Complex of the classical kernel functions of potential theory", Indiana Univ. Math. J, 44, pp.1337~1369 (1995)
  2. S. Bell, "Finitely generated function fields and complexity in potential theory in the plane", Duke Math. J, 98, pp.187~207 (1999)
  3. S. Bell, "A Riemann surface attached to domains in the plane and complexity in potential theory", Houston J. Math., 26, pp.277~297 (2000)
  4. L. R. Goldberg, "Catalan numbers and branched coverings by the Riemann sphere", Adv. in Math, 85, pp.129~144 (1991)
  5. I. P. Goulden, "Transitive factorisation into transpositions and holomorphic mappings on the sphere", Proc. AMS, 125, pp.51~60 (1997)
  6. M. Jeong, "Bell representation of finitely connected planar domains", Proc. AMS, 131, pp.2325~2328 (2003)
  7. 정문자, "Algebraic kernel functions and representation of planar domains", 대한수학회지, 40(3), pp.447~460 (2003), 대한수학회
  8. M. Jeong, "The coefficient body of Bell representations of finitely connected planar domains", J. Math. Anal. Appl, 295, pp.620~632 (2004)

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