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Generalization of hermite polynomials

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Ukrainian Mathematical Journal Aims and scope

Abstract

A generalization of the Hermite polynomials is given. Some relations which let one construct orthogonal Hermite polynomials successively are obtained.

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Literature cited

  1. H. Cramer, Mathematical Methods of Statistics [Russian translation], Mir, Moscow (1975).

    Google Scholar 

  2. T. Anderson, Introduction to Multidimensional Statistical Analysis [in Russian], Fizmatgiz, Moscow (1963).

    Google Scholar 

  3. J. W. Silverstein, “Some limit theorems on the eigenvectors of large dimensional sample covariance matrixes,” Carolina University, Carolina (1980).

    Google Scholar 

  4. Q. Y. Yin, Z. D. Bai, and P. R. Krishnaidh, “On limit of the largest eigenvalue of the large dimensional sample covariance matrix,” Techn. Rep., No. 84 (1984).

  5. S. Kh. Sirazhdinov, “Theory of multidimensional Hermite polynomials,” Tr. Inst. Matem. Mekhan. Akad. Nauk UzSSR,5, 70–95 (1949).

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Kiev

    A. V. Skorokhod & V. I. Stepakhno

Authors
  1. A. V. Skorokhod
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  2. V. I. Stepakhno
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 11, pp. 1524–1528, November, 1990.

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Skorokhod, A.V., Stepakhno, V.I. Generalization of hermite polynomials. Ukr Math J 42, 1366–1370 (1990). https://doi.org/10.1007/BF01066193

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  • DOI: https://doi.org/10.1007/BF01066193

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