Skip to main content
SpringerLink
Log in

Hadamard products of certain classes of p-valent starlike functions

  • Original Paper
  • Published:
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

In this paper, we consider several convolution properties for two subclasses of p-valent starlike functions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Aouf, M.K., Dziok, J., Sokól, J.: On a subclass of strongly starlike functions. Appl. Math. Lett. 24, 27–32 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  2. Baricz, Á., Szász, R.: Close-to-convexity of some special functions and their derivatives. Bull. Malays. Math. Sci. Soc. 39, 427–437 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  3. Cho, N.E., Kwon, O.S., Owa, S.: Certain subclasses of Sakaguchi functions. Southeast Asian Bull. Math. 17, 121–126 (1993)

    MathSciNet  MATH  Google Scholar 

  4. Dziok, J.: Classes of meromorphic functions associated with conic regions, Acta Math. Sci. Ser. B Engl. Ed. 32, 765–774 (2012)

    MathSciNet  MATH  Google Scholar 

  5. Dziok, J., Raina, R.K., Sokól, J.: On alpha-convex functions related to shell-like functions connected with Fibonacci numbers. Appl. Math. Comput. 218, 966–1002 (2011)

    MATH  Google Scholar 

  6. Halim, S.A.: Functions starlike with respect to other points. Internat. J. Math. Math. Sci. 14, 451–456 (1991)

    Article  MathSciNet  MATH  Google Scholar 

  7. Liu, J.-L.: The Noor integral and strongly starlike functions. J. Math. Anal. Appl. 261, 441–447 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  8. Liu, J.-L., Srivastava, H.M., Yuan, Y.: A family of meromorphically multivalent functions which are starlike with respect to \(k\)-symmetric points. J. Math. Inequal. 11, 781–798 (2017)

    Article  MathSciNet  MATH  Google Scholar 

  9. Liu, J.-L., Srivastava, R., Xu, Y.-H.: Integral transforms and partial sums of certain \(p\)-valent starlike functions, Rev. Real Acad. Cienc. Exactas Fís. Natur. Ser. A Mat. (RACSAM) (accepted) [https://doi.org/10.1007/s13398-018-0517-9]

  10. Nunokawa, M., Srivastava, H.M., Tuneski, N., Jolevska-Tuneska, B.: Some Marx-Strohhäcker type results for a class of multivalent functions. Miskolc Math. Notes 18, 353–364 (2017)

    Article  MathSciNet  MATH  Google Scholar 

  11. Pavatham, R., Radha, S.: On \(\alpha \)-starlike and \(\alpha \)-close-to-convex functions with respect to \(n\)-symmetric points. Indian J. Pure Appl. Math. 16, 1114–1122 (1986)

    MathSciNet  Google Scholar 

  12. Ruscheweyh, S., Shell-Small, T.: Hadamard products of schlicht functions and the Pólya-Schoenberg conjecture. Comment. Math. Helv. 48, 119–135 (1973)

    Article  MathSciNet  MATH  Google Scholar 

  13. Sokól, J.: A certain class of starlike functions. Comput. Math. Appl. 62, 611–619 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  14. Sokól, J., Noor, K.I., Srivastava, H.M.: A family of convolution operators for multivalent analytic functions. Eur. J. Pure Appl. Math. 5, 469–479 (2012)

    MathSciNet  MATH  Google Scholar 

  15. Srivastava, H.M., El-Ashwah, R.M., Breaz, N.: A certain subclass of multivalent functions involving higher-order derivatives. Filomat 30, 113–124 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  16. Srivastava, H.M., Eker, S.S., Seker, B.: Inclusion and neighborhood properties for certain classes of multivalently analytic functions of complex order associated with the convolution structure. Appl. Math. Comput. 212, 66–71 (2009)

    MathSciNet  MATH  Google Scholar 

  17. Srivastava, H.M., Joshi, S.B., Joshi, S.S., Pawar, H.: Coefficient estimates for certain subclasses of meromorphically bi-univalent functions. Palest. J. Math. 5(Special Issue: 1), 250–258 (2016)

    MathSciNet  MATH  Google Scholar 

  18. Srivastava, H.M., Lashin, A.Y., Frasin, B.A.: Starlikeness and convexity of certain classes of meromorphically multivalent functions. Theory Appl. Math. Comput. Sci. 3, 93–102 (2013)

    MATH  Google Scholar 

  19. Srivastava, H.M., Gaboury, S., Ghanim, F.: Coefficient estimates for some general subclasses of analytic and bi-univalent functions. Afrika Mat. 28, 693–706 (2017)

    Article  MathSciNet  MATH  Google Scholar 

  20. Srivastava, H.M., Alhindi, K.R., Darus, M.: An investigation into the polylogarithm function and its associated class of meromorphic functions. Maejo Internat. J. Sci. Tech. 10, 166–174 (2016)

    Google Scholar 

  21. Sun, Y., Jiang, Y.-P., Rasila, A., Srivastava, H.M.: Integral representations and coefficient estimates for a subclass of meromorphic starlike functions. Complex Anal. Oper. Theory 11, 1–19 (2017)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgements

The authors would like to express sincere thanks to the referees for careful reading and suggestions which helped us to improve the paper. This work is supported by the National Natural Science Foundation of the People’s Republic of China (Grant No. 11571299) and by the Natural Science Foundation of the Jiangsu Province of the People’s Republic of China (Grant No. BK20151304).

Author information

Authors and Affiliations

  1. Department of Mathematics, Yangzhou University, Yangzhou, 225002, People’s Republic of China

    Jin-Lin Liu

  2. Department of Mathematics and Statistics, University of Victoria, Victoria, BC, V8W 3R4, Canada

    Rekha Srivastava

Authors
  1. Jin-Lin Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Rekha Srivastava
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jin-Lin Liu.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, JL., Srivastava, R. Hadamard products of certain classes of p-valent starlike functions. RACSAM 113, 2001–2015 (2019). https://doi.org/10.1007/s13398-018-0584-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13398-018-0584-y

Keywords

Mathematics Subject Classification

Search

Navigation