대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제46권2호
  • /
  • Pages.367-372
  • /
  • 2009
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
DOI QR코드

DOI QR Code

SUFFICIENT CONDITIONS FOR UNIVALENCE OF A GENERAL INTEGRAL OPERATOR

  • 발행 : 2009.03.31
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, univalence of a certain integral operator and some interesting properties involving the integral operators on the classes of complex order are obtained. Relevant connections of the results, which are presented in this paper, with various other known results are also pointed out.

키워드

참고문헌

  1. J. Becker, Lownersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen, J. Reine Angew. Math. 255 (1972), 23–43
  2. D. Breaz and N. Breaz, Two integral operators, Studia Univ. Babes-Bolyai Math. 47 (2002), no. 3, 13–19
  3. D. Breaz and H. O. Guney, The integral operator on the classes $L^{\ast}_a$(b) and $C_\alpha$(b), J. Math. Inequal. 2 (2008), no. 1, 97–100
  4. D. Breaz, S. Owa, and N. Breaz, A new integral univalent operator, Acta Univ. Apulensis Math. Inform. (2008), no. 16, 11–16
  5. B. C. Carlson and D. B. Shaffer, Starlike and prestarlike hypergeometric functions, SIAM J. Math. Anal. 15 (1984), no. 4, 737–745 https://doi.org/10.1137/0515057
  6. B. A. Frasin, Family of analytic functions of complex order, Acta Math. Acad. Paedagog. Nyhazi. (N.S.) 22 (2006), no. 2, 179–191

피인용 문헌

  1. On the univalence of an integral operator defined by Hadamard product vol.25, pp.2, 2012, https://doi.org/10.1016/j.aml.2011.08.011
  2. Integral Operator of Analytic Functions with Positive Real Part vol.51, pp.1, 2011, https://doi.org/10.5666/KMJ.2011.51.1.077
  3. Convexity Properties for Certain Classes of Analytic Functions Associated with an Integral Operator vol.2014, 2014, https://doi.org/10.1155/2014/703139