Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2020, Cilt: 8 Sayı: 1, 21 - 29, 15.04.2020

Öz

Kaynakça

  • [1] S. D. Bernardi, New distortion theorems for functions of positive real part and applications to the partial sums of univalent convex functions, Proc. Amer. Math. Soc., 45(1974), no. 1, 113-118.
  • [2] T. Bulboaca, Di¤erential Subordinations and Superordinations, Recent Results, House of Scientific Book Publ., Cluj-Napoca, 2005.
  • [3] D. J. Hallenbeck and S. Ruschewyh, Subordination by convex functions, Proc. Amer. Math. Soc., 52 (1975), 191-195.
  • [4] M.-S. Liu, On certain subclass of analytic functions, J. South China Normal Univ., 4(2002),15-20 (in Chinese).
  • [5] M. Liu, On certain subclass of pvalent functions, Soochow J. Math., 26(2000), no. 2, 163-171.
  • [6] S. S. Miller and P.T. Mocanu, Subordinats of di¤erential superordinations, Complex Var., 48(2003), 815-826.
  • [7] S. S. Miller and P.T. Mocanu, Di¤erential Subordination: Theory and Applications, in: Series in Pure and Applied Mathematics, vol. 225, Marcel Dekker, New York, 2000.
  • [8] S. Owa and M. Obradovic, Certain subclasses of Bazilevic functions of type, Internat. J. Math. and Math. Sci., 9(1986), no. 2, 97-105.
  • [9] S. Owa, On certain Bazilevic functions of order , Internat. J. Math. and Math. Sci., 15(1992), no. 3, 613-616.
  • [10] S. Ponnusamy and S. Rajasekaran, New su¢ cient conditions for starlike and univalent functions, Soochow J. Math., 21(1995), no. 1, 193-201.
  • [11] T. N. Shanmugam, V. Ravichandran and S. Sivasubramanian, Di¤erential sandwich theorems for subclasses of analytic functions, Australian J. Math. Anal. Appl., 3(2006), Art. 8, 1-11.
  • [12] R. Singh, On Bazilevic functions, Proc. Amer. Math. Sci., 38(1973), 261-267.
  • [13] D. G. Yang, Properties of certain classes of multivalent functions, Bull. Inst. Math. Acad. Sinica, 22(1994), no. 4, 361-367.
  • [14] E. T. Whittaker and G. N.Watson, A Course of Modern Analysis: An Introduction to the General Theory of In…nite Processes and of Analytic Functions; With an Account of the Principal Transcendental Functions, Cambridge University Press, Cambridge, 1927.

Some Results of Certain Class of Multivalently Bavilevic Functions

Yıl 2020, Cilt: 8 Sayı: 1, 21 - 29, 15.04.2020

Öz

By making use of the principle of subordination, we introduce a certain class of multivalent analytic Bavilevic functions. Also, we obtain subordination and superordination properties, distortion theorems and inequality properties are proved. The results presented here would provide extensions of those given in earlier works.  

Kaynakça

  • [1] S. D. Bernardi, New distortion theorems for functions of positive real part and applications to the partial sums of univalent convex functions, Proc. Amer. Math. Soc., 45(1974), no. 1, 113-118.
  • [2] T. Bulboaca, Di¤erential Subordinations and Superordinations, Recent Results, House of Scientific Book Publ., Cluj-Napoca, 2005.
  • [3] D. J. Hallenbeck and S. Ruschewyh, Subordination by convex functions, Proc. Amer. Math. Soc., 52 (1975), 191-195.
  • [4] M.-S. Liu, On certain subclass of analytic functions, J. South China Normal Univ., 4(2002),15-20 (in Chinese).
  • [5] M. Liu, On certain subclass of pvalent functions, Soochow J. Math., 26(2000), no. 2, 163-171.
  • [6] S. S. Miller and P.T. Mocanu, Subordinats of di¤erential superordinations, Complex Var., 48(2003), 815-826.
  • [7] S. S. Miller and P.T. Mocanu, Di¤erential Subordination: Theory and Applications, in: Series in Pure and Applied Mathematics, vol. 225, Marcel Dekker, New York, 2000.
  • [8] S. Owa and M. Obradovic, Certain subclasses of Bazilevic functions of type, Internat. J. Math. and Math. Sci., 9(1986), no. 2, 97-105.
  • [9] S. Owa, On certain Bazilevic functions of order , Internat. J. Math. and Math. Sci., 15(1992), no. 3, 613-616.
  • [10] S. Ponnusamy and S. Rajasekaran, New su¢ cient conditions for starlike and univalent functions, Soochow J. Math., 21(1995), no. 1, 193-201.
  • [11] T. N. Shanmugam, V. Ravichandran and S. Sivasubramanian, Di¤erential sandwich theorems for subclasses of analytic functions, Australian J. Math. Anal. Appl., 3(2006), Art. 8, 1-11.
  • [12] R. Singh, On Bazilevic functions, Proc. Amer. Math. Sci., 38(1973), 261-267.
  • [13] D. G. Yang, Properties of certain classes of multivalent functions, Bull. Inst. Math. Acad. Sinica, 22(1994), no. 4, 361-367.
  • [14] E. T. Whittaker and G. N.Watson, A Course of Modern Analysis: An Introduction to the General Theory of In…nite Processes and of Analytic Functions; With an Account of the Principal Transcendental Functions, Cambridge University Press, Cambridge, 1927.
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Tamer Seoudy 0000-0001-6427-6960

Yayımlanma Tarihi 15 Nisan 2020
Gönderilme Tarihi 23 Ocak 2019
Kabul Tarihi 24 Şubat 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 8 Sayı: 1

Kaynak Göster

APA Seoudy, T. (2020). Some Results of Certain Class of Multivalently Bavilevic Functions. Konuralp Journal of Mathematics, 8(1), 21-29.
AMA Seoudy T. Some Results of Certain Class of Multivalently Bavilevic Functions. Konuralp J. Math. Nisan 2020;8(1):21-29.
Chicago Seoudy, Tamer. “Some Results of Certain Class of Multivalently Bavilevic Functions”. Konuralp Journal of Mathematics 8, sy. 1 (Nisan 2020): 21-29.
EndNote Seoudy T (01 Nisan 2020) Some Results of Certain Class of Multivalently Bavilevic Functions. Konuralp Journal of Mathematics 8 1 21–29.
IEEE T. Seoudy, “Some Results of Certain Class of Multivalently Bavilevic Functions”, Konuralp J. Math., c. 8, sy. 1, ss. 21–29, 2020.
ISNAD Seoudy, Tamer. “Some Results of Certain Class of Multivalently Bavilevic Functions”. Konuralp Journal of Mathematics 8/1 (Nisan 2020), 21-29.
JAMA Seoudy T. Some Results of Certain Class of Multivalently Bavilevic Functions. Konuralp J. Math. 2020;8:21–29.
MLA Seoudy, Tamer. “Some Results of Certain Class of Multivalently Bavilevic Functions”. Konuralp Journal of Mathematics, c. 8, sy. 1, 2020, ss. 21-29.
Vancouver Seoudy T. Some Results of Certain Class of Multivalently Bavilevic Functions. Konuralp J. Math. 2020;8(1):21-9.
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