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Properties of entire solutions of differential equations

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Abstract

We investigate the close-to-convexity and l-index boundedness of entire solutions of the differential equations z 2 w″ + βzw′ + (γz 2 − β)w = 0 and zw″ + βw′ + γzw = 0.

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Authors and Affiliations

  1. Institute for Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv

    Z. M. Sheremeta

  2. Lviv National University, Lviv

    M. M. Sheremeta

Authors
  1. Z. M. Sheremeta
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  2. M. M. Sheremeta
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 12, pp. 1693–1703, December, 2006.

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Sheremeta, Z.M., Sheremeta, M.M. Properties of entire solutions of differential equations. Ukr Math J 58, 1924–1934 (2006). https://doi.org/10.1007/s11253-006-0177-3

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  • DOI: https://doi.org/10.1007/s11253-006-0177-3

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