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Subharmonic function of infinite order in the half-plane

Year 2013, Volume: 4 , 9 - 14, 19.03.2014

Abstract

Let a proper subharmonic function of infinite order has the full measure at the finite system of rays in the upper half-plane. Then its lower order also equals infinity.

References

  • Miles, J.B., On entire functions of innite order with radially distributed zeros, Pacif. J. Math. Derg. 81(1) (1979), 131–157.
  • Grishin, A.F., Continuity and asymptotic continuity of subharmonic functions, Mat. Fiz., Anal., Geom. Derg. 1 (1994), 193–215 (in Russian).
  • Malyutin, K.G., Fourier series and -subharmonic functions of nite-type in a half-plane, Mat. Sb. Derg. 192(6) (2001), 51–70 (in Russian); English transl. in Sb.: Math. 192(6) (2001).
  • Levin, B.Ya., Distribution of Zeros of Entire Functions, English revised edition Amer. Math. Soc, Providence, RI, 523pp. MR 81k:30011.
Year 2013, Volume: 4 , 9 - 14, 19.03.2014

Abstract

References

  • Miles, J.B., On entire functions of innite order with radially distributed zeros, Pacif. J. Math. Derg. 81(1) (1979), 131–157.
  • Grishin, A.F., Continuity and asymptotic continuity of subharmonic functions, Mat. Fiz., Anal., Geom. Derg. 1 (1994), 193–215 (in Russian).
  • Malyutin, K.G., Fourier series and -subharmonic functions of nite-type in a half-plane, Mat. Sb. Derg. 192(6) (2001), 51–70 (in Russian); English transl. in Sb.: Math. 192(6) (2001).
  • Levin, B.Ya., Distribution of Zeros of Entire Functions, English revised edition Amer. Math. Soc, Providence, RI, 523pp. MR 81k:30011.
There are 4 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Mathematics
Authors

İrina Kozlova

Publication Date March 19, 2014
Published in Issue Year 2013 Volume: 4

Cite

APA Kozlova, İ. (2014). Subharmonic function of infinite order in the half-plane. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, 4, 9-14.
AMA Kozlova İ. Subharmonic function of infinite order in the half-plane. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. March 2014;4:9-14.
Chicago Kozlova, İrina. “Subharmonic Function of Infinite Order in the Half-Plane”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 4, March (March 2014): 9-14.
EndNote Kozlova İ (March 1, 2014) Subharmonic function of infinite order in the half-plane. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 4 9–14.
IEEE İ. Kozlova, “Subharmonic function of infinite order in the half-plane”, İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, vol. 4, pp. 9–14, 2014.
ISNAD Kozlova, İrina. “Subharmonic Function of Infinite Order in the Half-Plane”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 4 (March 2014), 9-14.
JAMA Kozlova İ. Subharmonic function of infinite order in the half-plane. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. 2014;4:9–14.
MLA Kozlova, İrina. “Subharmonic Function of Infinite Order in the Half-Plane”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, vol. 4, 2014, pp. 9-14.
Vancouver Kozlova İ. Subharmonic function of infinite order in the half-plane. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. 2014;4:9-14.