Skip to main content
Log in

Simultaneous orthogonal polynomials related to Poisson distribution

  • Published:
Moscow University Mathematics Bulletin Aims and scope

Abstract

A generalization of orthogonal polynomials of a discrete variable, namely, Charlier polynomials is studied. The limit distribution of their zeros is obtained by the saddle-point method.

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. E. M. Nikishin and V. N. Sorokin, Rational Approximations and Orthogonality (Nauka, Moscow, 1988) [in Russian].

    MATH  Google Scholar 

  2. C. V. L. Charlier, Application de la Theory des Probabilites a I’Astronomie (Gauthier-Villars, P., 1931).

    Google Scholar 

  3. H. Bateman and A. Erdelyi, Higher Transcendental Functions, Vol. II, (McGraw-Hill, Inc., 1953; Nauka, Moscow, 1966).

    Google Scholar 

  4. E. A. Rakhmanov, “Asymptotic Properties of Polynomials Orthogonal on the Real Axis,” Matem. Sborn. 161(10), 163 (1982).

    MathSciNet  Google Scholar 

  5. V. N. Sorokin, “On Multiple Orthogonal Polynomials for Discrete Meixner Measures,” Matem. Sborn. 201(10), 137 (2010) [Sbornik: Math. 201 (10), 1539 (2010)].

    Article  MathSciNet  Google Scholar 

  6. A. A. Gonchar, E. A. Rakhmanov, and V. N. Sorokin, “Hermite-Pade Approximants for Systems of Markov-Type Functions,” Matem. Sborn. 188(5), 33 (1997) [Sbornik: Math. 188 (5), 671 (1997)].

    Article  MathSciNet  Google Scholar 

  7. E. A. Rakhmanov, “Equilibrium Measure and the Distribution of Zeros of the Extremal Polynomials of a Discrete Variable,” Matem. Sborn. 187(8), 109 (1996) [Sbornik: Math. 187 (8), 1213 (1996)].

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. N. Sorokin.

Additional information

Original Russian Text © V.N. Sorokin, 2015, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2015, Vol. 70, No. 1, pp. 3–8.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sorokin, V.N. Simultaneous orthogonal polynomials related to Poisson distribution. Moscow Univ. Math. Bull. 70, 1–5 (2015). https://doi.org/10.3103/S0027132215010015

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0027132215010015

Keywords

Navigation