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Real zeros of some classes of analytic functions determined by a majorant of infinite order

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Certain classes of entire functions or of functions analytic in the unit disk are treated; they are defined in terms of a radial majorant λ that grows sufficiently fast. Under certain assumptions on λ, we describe the zero sets for such a class that lie on ℝ+ (respectively, on the segment [0, 1)). Bibliography: 9 titles.

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References

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Authors and Affiliations

  1. Bryansk State University, Bryansk, Russia

    F. A. Shamoyan

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  1. F. A. Shamoyan
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Correspondence to F. A. Shamoyan.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 376, 2010, pp. 176–180.

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Shamoyan, F.A. Real zeros of some classes of analytic functions determined by a majorant of infinite order. J Math Sci 172, 276–278 (2011). https://doi.org/10.1007/s10958-010-0198-1

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  • DOI: https://doi.org/10.1007/s10958-010-0198-1

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