Research Article

Some Results of Certain Class of Multivalently Bavilevic Functions

Volume: 8 Number: 1 April 15, 2020
EN

Some Results of Certain Class of Multivalently Bavilevic Functions

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.  

Keywords

References

  1. [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. [2] T. Bulboaca, Di¤erential Subordinations and Superordinations, Recent Results, House of Scientific Book Publ., Cluj-Napoca, 2005.
  3. [3] D. J. Hallenbeck and S. Ruschewyh, Subordination by convex functions, Proc. Amer. Math. Soc., 52 (1975), 191-195.
  4. [4] M.-S. Liu, On certain subclass of analytic functions, J. South China Normal Univ., 4(2002),15-20 (in Chinese).
  5. [5] M. Liu, On certain subclass of pvalent functions, Soochow J. Math., 26(2000), no. 2, 163-171.
  6. [6] S. S. Miller and P.T. Mocanu, Subordinats of di¤erential superordinations, Complex Var., 48(2003), 815-826.
  7. [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. [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.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

April 15, 2020

Submission Date

January 23, 2019

Acceptance Date

February 24, 2020

Published in Issue

Year 2020 Volume: 8 Number: 1

APA
Seoudy, T. (2020). Some Results of Certain Class of Multivalently Bavilevic Functions. Konuralp Journal of Mathematics, 8(1), 21-29. https://izlik.org/JA38NN44TE
AMA
1.Seoudy T. Some Results of Certain Class of Multivalently Bavilevic Functions. Konuralp J. Math. 2020;8(1):21-29. https://izlik.org/JA38NN44TE
Chicago
Seoudy, Tamer. 2020. “Some Results of Certain Class of Multivalently Bavilevic Functions”. Konuralp Journal of Mathematics 8 (1): 21-29. https://izlik.org/JA38NN44TE.
EndNote
Seoudy T (April 1, 2020) Some Results of Certain Class of Multivalently Bavilevic Functions. Konuralp Journal of Mathematics 8 1 21–29.
IEEE
[1]T. Seoudy, “Some Results of Certain Class of Multivalently Bavilevic Functions”, Konuralp J. Math., vol. 8, no. 1, pp. 21–29, Apr. 2020, [Online]. Available: https://izlik.org/JA38NN44TE
ISNAD
Seoudy, Tamer. “Some Results of Certain Class of Multivalently Bavilevic Functions”. Konuralp Journal of Mathematics 8/1 (April 1, 2020): 21-29. https://izlik.org/JA38NN44TE.
JAMA
1.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, Apr. 2020, pp. 21-29, https://izlik.org/JA38NN44TE.
Vancouver
1.Tamer Seoudy. Some Results of Certain Class of Multivalently Bavilevic Functions. Konuralp J. Math. [Internet]. 2020 Apr. 1;8(1):21-9. Available from: https://izlik.org/JA38NN44TE
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