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Sufficient conditions for univalence of a general integral operator

Kadhavoor Ragavan Karthikeyan|Chellian Selvaraj
대한수학회 (The Korean Mathematical Society)|2009.03|대한수학회보 (Bulletin of the KMS)|제46권 제2호|pp. 367-372

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참고문헌

키워드

analytic functionsunivalent functionsHadamard productintegral operatorsstarlike functions of complex orderconvex functions of complex order
주제분류수학

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.

Abstract

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.

참고문헌 (9)

  1. J. Becker, "L¨ownersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen", J. Reine Angew. Math., 255, pp.23~43 (1972)
  2. D. Breaz, "Two integral operators", Studia Univ. Babe¸s-Bolyai Math, 47(3), pp.13~19 (2002)
  3. D. Breaz, "The integral operator on the classes L¤a(b) and C®(b)", J. Math. Inequal., 2(1), pp.97~100 (2008)
  4. D. Breaz, "A new integral univalent operator", Acta Univ. Apulensis Math. Inform, (16), pp.11~16 (2008)
  5. B. C. Carlson, "Starlike and prestarlike hypergeometric functions", SIAM J. Math. Anal., 15(4), pp.737~745 (1984)
  6. B. A. Frasin, "Family of analytic functions of complex order", Acta Math. Acad. Paedagog. Nyhazi. (N.S.), 22(2), pp.179~191 (2006)
  7. A. W. Goodman, "Univalent Functions" (1983), Mariner
  8. M. A. Nasr, "Starlike function of complex order", J. Natur. Sci. Math, 25(1), pp.1~12 (1985)
  9. G. I. Oros, "Sufficient conditions for univalence of an integral operator", J. Inequal. Appl., pp.7~ (2008)

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