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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2015 / Cilt: 44 - Sayı: 3

On the univalence of an integral operator

Dorina RADUCANU
Sayfa
623–631
Yayın Tarihi
2022-10-18
DOI
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Our results include a number of known or new univalence criteria.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper the method of Loewner chains is used to derive a fairly general and flexible univalence criterion for an integral operator.
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Temel Bulgular & Veri:Two examples involving Bessel and hypergeometric functions are given.
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Sonuç & Katkı:Our results include a number of known or new univalence criteria.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Analytic functions · integral operator · Loewner chain

Abstract

In this paper the method of Loewner chains is used to derive a fairly general and flexible univalence criterion for an integral operator. Two examples involving Bessel and hypergeometric functions are given. Our results include a number of known or new univalence criteria.

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Bu Makaleye Atıf Yap

RADUCANU, D. (2022). On the univalence of an integral operator. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 3, 623–631. https://ajindex.com/articles/530216

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Kaynakça (19)

  1. L. V. Ahlfors,Sufficient conditions for quasiconformal extension, Ann. Math. Studies., 79 (1974), 23-29
  2. A. Baricz, B. A. Frasin,Univalence of integral operator involving Bessel functions, Appl. Math. Lett., 23(4)(2010), 371-376
  3. J. Becker, Löwnersche differential gleichung und quasikonform fortsetzbare schlichte functionen, J. Reine Angew. Math.255 (1972), 23-43
  4. J. Becker, Conformal mappings with quasiconformal extensions, Aspects of Contemporary Complex Analysis, Ed. by D. A. Brannan and J. G. Clunie, Acad. Press, 1980, 37-77
  5. D. Breaz, N. Breaz, H. M. Srivastava, An extension of the univalent condition for a family of integral operators, Appl. Math. Lett., 22(2009), 41-44
  6. E. Deniz, H. Orhan, H. M. Srivastava, Some sufficient conditions for univalence of certain families of integral operators involving generalized Bessel functions, Taiwanese J. Math., 15(2)(2011), 883-971
  7. E. Deniz, D. Raducanu, H. Orhan, On the univalence of an integral operator defined by Hadamard product, Appl. Math. Lett., 25(2012), 179-184
  8. B. A. Frasin, Certain sufficient conditions for univalence of two integral operators, European J. Pure Appl. Math., 3(6)(2010), 1141-1149
  9. S. Moldoveanu, N. N. Pascu, Integral operators which preserve the univalence, Mathematica (Cluj), 32(55)(1990), 159-166
  10. H. Ovesea, An extension of Lewandowski’s univalence criterion, Demonstratio Math., XXIX, 4(1996), 699-706
  11. H. Ovesea, A generalization of Ruscheweyh’s univalence criterion, J. Math. Anal. Appl., 258 (2001), 102-109
  12. N. N. Pascu, An improvement of Becker’s univalence criterion, Commemorative Session Simion Stoilov, Univ. of Brasov, (Preprint) (1987), 43-48
  13. V. Pescar, A new generalization of Ahlfors and Becker’s criterion of univalence, Bull. Math. Malaysian Math. Soc. (Second Series), 19 (1996), 53-54
  14. V. Pescar, D. Breaz, The Univalence of Integrals Operators, Prof. M. Drinov Acad. Publish. House, Sofia, 2008
  15. Ch. Pommerenke, Über die Subordination analytischer Funktionen, J. Reine Angew Math., 218 (1965), 159-173
  16. Ch. Pommerenke, Univalent Functions, Vandenhoeck Ruprecht in Göttingen, 1975
  17. D. Raducanu, H. Orhan, E. Deniz, On some sufficient conditions for univalence, An. St. Univ. Ovidius, Constanµa, Ser. Math., 18(2)(2010), 217-222
  18. H. M. Srivastava, E. Deniz, H. Orhan, Some general univalence criteria for a family of integral operators, Appl. Math. Comp., 215(2010), 3696-3701
  19. D. Tan, Quasiconformal