Skip to main content
SpringerLink
Log in

On Properties of an Entire Function That is a Generalization of the Wright Function

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

In this paper, we examine properties of an entire function that is a generalization of the Wright function. Various representations, estimates, and differentiation formulas are obtained.

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. H. Bateman and A. Erdélyi, Higher Transcendental Functions, Vol. 1, McGraw-Hill, New York–Toronto–London (1953).

    MATH  Google Scholar 

  2. M. M. Dzhrbashyan, Integral Transforms and Representtions fo Functions in Complex Domains [in Russian], Nauka, Moscow 1966.

    Google Scholar 

  3. L. L. Karasheva, “The Cauchy problem for a higher-order parabolic equation with a Riemann–Liouville derivative with respect to the time variable,” Dokl. Adyg. (Cherkes.) Akad. Nauk, 15, No. 2, 40–43 (2013).

    Google Scholar 

  4. A. A. Kilbas and M. Saigo, H-Transforms: Theory and Applications, Analytical Methods and Special Functions, 9, Chapman, Boca Raton (2004).

    Book  Google Scholar 

  5. O. I. Marichev, Method for Integrating Special Functions. Theory and Formulas [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  6. A. M. Nakhushev, Equations of Mathematical Biology [in Russian], Vysshaya Shkola, Moscow (1995).

    MATH  Google Scholar 

  7. A. V. Pskhu, Fractional Partial Differential Equations [in Russian], Nauka, Moscow (2005).

    MATH  Google Scholar 

  8. A. V. Pskhu, “The fundamental solution of the fractional diffusion-wave equation,” Izv. Ross. Akad. Nauk. Ser. Mat., 73, No. 2, 141–182 (2009).

    Article  MathSciNet  Google Scholar 

  9. E. M. Wright, “On the coefficients of power series having exponential singularities,” J. London Math. Soc., 8, No. 29, 71–79 (1933).

    Article  MathSciNet  Google Scholar 

  10. E. M. Wright, “The generalized Bessel function of order greater than one,” Quart. J. Math., Oxford Ser., 11, 36–48 (1940).

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Applied Mathematics and Automation, Kabardino-Balkar Science Center of RAS, Nalchik, Russia

    L. L. Karasheva

Authors
  1. L. L. Karasheva
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to L. L. Karasheva.

Additional information

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 149, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, 2018.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Karasheva, L.L. On Properties of an Entire Function That is a Generalization of the Wright Function. J Math Sci 250, 753–759 (2020). https://doi.org/10.1007/s10958-020-05040-4

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-020-05040-4

Keywords and phrases

AMS Subject Classification

Search

Navigation