Skip to main content
SpringerLink
Log in

Mapping properties of an integral operator involving Bessel functions

  • Published:
Afrika Matematika Aims and scope Submit manuscript

Abstract

The purpose of the present paper is to study the mapping properties of an integral operator involving Bessel functions of the first kind on a subclass of analytic univalent functions. Relevant connections of the results presented here with various known results are briefly indicated.

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. Baricz, A., Frasin, B.A.: Univalence of integral operators involving Bessel functions. Appl. Math. Lett. 23(4), 371–376 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  2. Breaz, D.: Certain integral operators on the classes \(M(\beta _i)\). J. Inequal. Appl. Art. I.D. 719354, pp. 1–4 (2008)

  3. Frasin, B.A.: Sufficient conditions for integral operator defined by Bessel functions. J. Math. Inequal. 4(3), 301–306 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  4. Frasin, B.A.: Some sufficient conditions for certain integral operators. J. Math. Inequal. 2(4), 527–535 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  5. Dixit, K.K., Chandra, V.: On subclass of univalent function with positive coefficient. Aligarh Bull. Math. 27(2), 87–93 (2008)

    MathSciNet  Google Scholar 

  6. Dixit, K.K., Pathak, A.L.: A new class of analytic functions with positive coefficients. Indian J. Pure Appl. Math. 34(2), 209–218 (2003)

    MathSciNet  MATH  Google Scholar 

  7. Dixt, K.K., Saurabh, P., Ankit, D.: A new subclass of univalent functions with positive coefficients. Bessel J. Math. 3(2), 125–135 (2013)

    Google Scholar 

  8. Owa, S., Srivastava, H.M.: Some generalized convolution properties associated with certain subclasses of analytic functions. J. Inequal. Pure Appl. Math. 3(3), 1–13 (2002)

    MathSciNet  MATH  Google Scholar 

  9. Pasai, N.N., Pescar, V.: On the integral operators of Kim-merkes and Pfaltzgraff. Mathematica 32(55)(2), 185–192 (1990)

  10. Porwal, S.: Mapping properties of an integral operator. Acta Univ. Apul. 27, 151–155 (2011)

    MathSciNet  MATH  Google Scholar 

  11. Porwal, S., Dixit, K.K.: An application of certain convolution operator involving hypergeometric functions. J. Raj. Acad. Phys. Sci. 9(2), 173–186 (2010)

    MathSciNet  MATH  Google Scholar 

  12. Porwal, S., Breaz, D.: Mapping properties of an integral operator involving Bessel functions, analytic number theory, approximation theory and special functions, pp. 821–826. Springer, New York (2014)

    Book  MATH  Google Scholar 

  13. Porwal, S., Singh, M.K.: Mapping properties a general integral operator defined by the Hadamard product. Le Matematiche 69(1), 179–184 (2014)

    MathSciNet  MATH  Google Scholar 

  14. Porwal, S., Dixit, K.K., Kumar, V., Dixit, P.: A subclass of analytic functions defined by convolution. Gen. Math. 19(3), 57–65 (2011)

    MathSciNet  MATH  Google Scholar 

  15. Salagean, G.S.: Subclasses of univalent functions, complex analysis fifth romanian finish seminar. Bucharest 1, 362–372 (1983)

    Google Scholar 

  16. Szasz, R., Kupan, P.: About the univalence of the Bessel functions. Stud. Univ. Babes-Bolyai Math. 54(1), 127–132 (2009)

    MathSciNet  MATH  Google Scholar 

  17. Uralegaddi, B.A., Ganigi, M.D., Sarangi, S.M.: Univalent functions with positive coefficients. Tamkang J. Math. 25(3), 225–230 (1994)

    MathSciNet  MATH  Google Scholar 

Download references

Acknowledgments

The authors are thankful to the referee for his/her valuable comments and observations which helped in improving the paper.

Author information

Authors and Affiliations

  1. Department of Mathematics, UIET CSJM University, 208024, Kanpur, UP, India

    Saurabh Porwal & Manish Kumar

Authors
  1. Saurabh Porwal
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Manish Kumar
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Saurabh Porwal.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Porwal, S., Kumar, M. Mapping properties of an integral operator involving Bessel functions. Afr. Mat. 28, 165–170 (2017). https://doi.org/10.1007/s13370-016-0436-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13370-016-0436-x

Keywords

Mathematics Subject Classification

Search

Navigation