Honam Mathematical Journal (호남수학학술지)

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THE HARDY SPACE OF RAMANUJAN-TYPE ENTIRE FUNCTIONS

  • Erhan Deniz (Department of Mathematics, Faculty of Science and Letters, Kafkas University) ;
  • Murat Caglar (Department of Mathematics, Faculty of Science, Erzurum Technical University)
  • Received : 2022.04.18
  • Accepted : 2022.09.30
  • Published : 2023.03.25
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Abstract

In this paper, we deal with some geometric properties including starlikeness and convexity of order 𝛽 of Ramanujan-type entire functions which are natural extensions of classical Ramanujan entire functions. In addition, we determine some conditions on the parameters such that the Ramanujan-type entire functions belong to the Hardy space and to the class of bounded analytic functions.

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References

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