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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 5

SUBORDINATION RESULTS OF MULTIVALENT FUNCTIONS DEFINED BY CONVOLUTION

Teodor BULBOACA
Mohamed K AOUF
A. O. MOSTAFA
Sayfa
725–736
Yayın Tarihi
2022-10-18
DOI
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Using the method of differential subordination, we investigate some properties of certain classes of multivalent functions, which are defined Analytic functionsby means of convolution.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Using the method of differential subordination, we investigate some properties of certain classes of multivalent functions, which are defined Analytic functionsby means of convolution.
📊
Temel Bulgular & Veri:Using the method of differential subordination, we investigate some properties of certain classes of multivalent functions, which are defined Analytic functionsby means of convolution.
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Sonuç & Katkı:Using the method of differential subordination, we investigate some properties of certain classes of multivalent functions, which are defined Analytic functionsby means of convolution.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Analytic functions · Multivalent functions · Convolution product

Abstract

Using the method of differential subordination, we investigate some properties of certain classes of multivalent functions, which are defined Analytic functionsby means of convolution.

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Bu Makaleye Atıf Yap

BULBOACA, T., AOUF, M. K., MOSTAFA, A. O. (2022). SUBORDINATION RESULTS OF MULTIVALENT FUNCTIONS DEFINED BY CONVOLUTION. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 5, 725–736. https://ajindex.com/articles/530595

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Kaynakça (15)

  1. Al-Oboudi, F. M. On univalent functions defined by a generalized S˘al˘agean operator, Int. J. Math. Math. Sci. 27, 1429–1436, 2004.
  2. Al-Oboudi, F. M. and Al-Amoudi, K. A. On classes of analytic functions related to conic domains, J. Math. Anal. Appl. 339 (1), 655-ˆu667, 2008.
  3. Aouf, M. K. and Mostafa, A. O. On a subclass of n–p–valent prestarlike functions, Comput. Math. Appl. 55 (4), 851–861, 2008.
  4. Aouf, M. K. and Mostafa, A. O. Sandwich theorems for analytic functions defined by con- volution, Acta Univ. Apulensis 21, 7–20, 2010.
  5. Bernardi, S. D. Convex and univalent functions, Trans. Amer. Math. Soc. 135, 429–446, 1996.
  6. Carlson, B. C. and Shaffer, D. B. Starlike and prestarlike hypergeometric functions, SIAM J. Math. Anal. 15, 737–745, 1984. C˘ata¸s, A. On certain classes of p–valent functions defined by multiplier transformations, in Proc. of the International Symposium on Geometric Function Theory and Applications, Istanbul, Turkey, 241–250, 2007.
  7. Cho, N. E. and Kim, T. G. Multiplier transformations and strongly close-to-convex func- tions, Bull. Korean Math. Soc. 40 (3), 399–410, 2003.
  8. Dziok, J. and Srivastava, H. M. Classes of analytic functions associated with the generalized hypergeometric function, Appl. Math. Comput. 103, 1–13, 1999.
  9. Dziok, J. and Srivastava, H. M. Some subclasses of analytic functions with fixed argument of coefficients associated with the generalized hypergeometric function, Adv. Stud. Contemp. Math. 5, 115–125, 2002.
  10. Dziok, J. and Srivastava, H. M. Certain subclasses of analytic functions associated with the generalized hypergeometric function, Integral Transf. Spec. Funct. 14, 7–18, 2003.
  11. Hallenbeck, D. J. and Ruscheweyh, St. Subordination by convex functions, Proc. Amer. Math. Soc. 52, 191–195, 1975. [13] Hohlov, Yu. E. Operators and operations in the univalent functions (in Russian), Izv. Vyssh. Uchebn. Zaved. Mat. 10, 83–89, 1978.
  12. Kamali, M. and Orhan, H. On a subclass of certain starlike functions with negative coeffi- cients, Bull. Korean Math. Soc. 41 (1), 53–71, 2004.
  13. Libera, R. J. Some classes of regular univalent functions, Proc. Amer. Math. Soc. 16, 755– 658, 1965.
  14. Livingston, A. E. On the radius of univalence of certain analytic functions, Proc. Amer. Math. Soc. 17, 352–357, 1966. [17] MacGregor, T. H. Radius of univalence of certain analytic functions, Proc. Amer. Math. Soc. 14, 514–520, 1963.
  15. Miller, S. S. and Mocanu, P. T. Differential subordinations and univalent functions, Michigan Math. J. 28 (2), 157–171, 1981