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Year 2020, Volume: 8 Issue: 1, 21 - 29, 15.04.2020

Abstract

References

  • [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

Year 2020, Volume: 8 Issue: 1, 21 - 29, 15.04.2020

Abstract

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.  

References

  • [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.
There are 14 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Tamer Seoudy 0000-0001-6427-6960

Publication Date April 15, 2020
Submission Date January 23, 2019
Acceptance Date February 24, 2020
Published in Issue Year 2020 Volume: 8 Issue: 1

Cite

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. April 2020;8(1):21-29.
Chicago Seoudy, Tamer. “Some Results of Certain Class of Multivalently Bavilevic Functions”. Konuralp Journal of Mathematics 8, no. 1 (April 2020): 21-29.
EndNote Seoudy T (April 1, 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., vol. 8, no. 1, pp. 21–29, 2020.
ISNAD Seoudy, Tamer. “Some Results of Certain Class of Multivalently Bavilevic Functions”. Konuralp Journal of Mathematics 8/1 (April 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, vol. 8, no. 1, 2020, pp. 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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