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Dergiler / İstanbul University Science Faculty The Journal Of Mathematics Physics and Astronomy / 2013 / Cilt: 4 Sayı: 0

Weakly Regular Sets

Konstantin Malyutin
Oksana Bozhenko
Sayfa
1–8
Yayın Tarihi
2014-03-19
DOI
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It is proved that such sets are interpolation sets.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We consider the concept of weakly regular set in complex plane and in complex half-plane.
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Temel Bulgular & Veri:We consider the concept of weakly regular set in complex plane and in complex half-plane.
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Sonuç & Katkı:It is proved that such sets are interpolation sets.
🔬Tür:Makale
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Regular set · proximate order · weakly regular set

Abstract

We consider the concept of weakly regular set in complex plane and in complex half-plane. It is proved that such sets are interpolation sets.

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Bu Makaleye Atıf Yap

Malyutin, K., Bozhenko, O. (2014). Weakly Regular Sets. İstanbul University Science Faculty The Journal Of Mathematics Physics and Astronomy, Cilt: 4 Sayı: 0, 1–8. https://ajindex.com/articles/1656058

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Kaynakça (11)

  1. Levin, B.Ya., Distribution of Zeros of Entire Functions, English revised edition Amer. Math. Soc, Providence, RI, 523pp. MR 81k:30011, 1980.
  2. Leont'ev, A.F., Ryady e'ksponent Nauka, (Russian), 1976.
  3. Firsakova, A.F., Some questions of interpolation with help of entire functions, Dokl. Akad. Nauk SSSR, 120, 3 (1958), 477{480. (Russian)
  4. Uen, N.T., Interpolation problems in half-plane in the class of analytic functions of nite order and normal type, Teoria funksii, functional. Anal. i Prilozhen., 24 (1975), 106{127. (Russian)
  5. Grishin, A.F., About sets of regular growth of entire functions, Teoria funksii, functional. Anal. i Prilozhen., 44 (1984), 32{42. (Russian)
  6. Malyutin, K.G., On sets of regular growth of functions in a half-plane, I, Izvestija: Mathematics, 59, 4 (1995), 785{814.
  7. Malyutin, K.G., On sets of regular growth of functions in a half-plane, I, Izvestija: Mathematics, 59, 5 (1995), 983{1006.
  8. Malyutin, K.G., Interpolation by holomorphic functions, Thesis for the degree of Candidate of Physics and Mathematics, Kharkov, 1980.
  9. Govorov, N.V., Riemann's Boundary Problem With Innite Index, Moskva: Nauka, 1986.
  10. Grishin, A.F., Subharmonic functions of nite order, Thesis for the degree of Doctor of Physics and Mathematics, Kharkov, 1992.
  11. Malyutin, K.G., The problem of multiple interpolation in the half-plane in the class, Russian Acad. Sci. Sb. Math., 78, 1 (1994), 253{266.