호남수학학술지 (Honam Mathematical Journal)

  • 제41권1호
  • /
  • Pages.101-116
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  • 2019
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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GEOMETRIC PROPERTIES OF GENERALIZED DINI FUNCTIONS

  • Deniz, Erhan (Department of Mathematics, Kafkas University) ;
  • Goren, Seyma (Department of Mathematics, Kafkas University)
  • 투고 : 2018.05.22
  • 심사 : 2019.01.14
  • 발행 : 2019.03.25
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초록

In this paper our aim is to establish some geometric properties (like starlikeness, convexity and close-to-convexity) for the generalized and normalized Dini functions. In order to prove our main results, we use some inequalities for ratio of these functions in normalized form and classical result of Fejer.

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참고문헌

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  3. A. Baricz, M. Caglar and E. Deniz, Starlikeness of Bessel functions and their derivatives, Math. Ineq. Appl. 19(2) (2016), 439-449.
  4. A. Baricz, E. Deniz and N. Yagmur, Close-to-convexity of normalized Dini functions, Math. Narch. 289 (2016), 1721-1726.
  5. A. Baricz. S. Ponnusamy and S. Singh, Modified Dini functions: monotonicity patterns and functional inequalities, Acta Math. Hungrica 149 (2016), 120-142. https://doi.org/10.1007/s10474-016-0599-9
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