Azarin limit sets of some irregularly growing functions
Author(s):
K.G. Malyutin, Dr., Prof., Southwest State University, Kursk, Russia,
malyutinkg@gmail.comL.I. Studenikina, candidate of Sciences, associate Professor, Southwest State University, Kursk, Russia,
sli-kursk@yandex.ruD.N. Tutunov, candidate of Sciences, associate Professor, Southwest State University, Kursk, Russia,
tjutjunov@mail.ruT.V. Shevtsova, Southwest State University, Kursk, Russia,
dec-ivt-zao@mail.ru Issue:
Volume 50, №1
Rubric:
Mathematics
Annotation:
A method of constructing asymptotic formulas for integrals with an absolutely continuous function is
considered. It are considered cases when as an absolutely continuous function is taken the product of a
power function on the conjugate Poisson kernel for a half-plane, and as a gap, the imaginary half-axis is
taken. The real and imaginary parts of these integrals are harmonic functions in the complex plane cut
along a positive ray. For such functions the Azarin limit set is calculated
Keywords:
asymptotic formula, conjugate Poisson kernel, harmonic function, Azarin limit set
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