Skip to main content
Log in

On Mittag-Leffler type Poisson distribution

  • Published:
Afrika Matematika Aims and scope Submit manuscript

Abstract

The purpose of the present paper is to introduce Mittag-Leffler type Poisson distribution. We obtain some properties of this distribution. It is worthy to note that the results of this distribution reduces to the result of Poisson distribution for \(\alpha =\beta =1\).

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Agarwal, R.P.: A Propos d’une note de M. Pierre Humbert. C. R. Acad. Sci. Paris 296, 2031–2032 (1953)

    MathSciNet  MATH  Google Scholar 

  2. Erdelyi, A., Magnus, W., Oberhettinger, F.: Functions, higher transcendental, vol. 3. McGraw-Hill, Toronto (1955)

    MATH  Google Scholar 

  3. Mittag-Leffler, G. M., Sur la nouvelle fonction \(E_{\alpha }(x)\), C. R. Acad. Sci. Paris, (Ser. II) 137, 554–558 (1903)

  4. Mathai, A.M., Haubold, H.J.: Special functions for applied scientists. Springer (2008). doi:10.1007/978-0-387-75894-7

  5. Wiman, A.: Uber den Fundamental satz in der Theorie de Funktionen \(E_{\alpha, \beta }(x)\). Acta Math. 29, 191–201 (1905)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

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., Dixit, K.K. On Mittag-Leffler type Poisson distribution. Afr. Mat. 28, 29–34 (2017). https://doi.org/10.1007/s13370-016-0427-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13370-016-0427-y

Keywords

Mathematics Subject Classification

Navigation