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Simultaneous Padé approximants of functions of Stieltjes type

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Literature Cited

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

    Google Scholar 

  2. E. M. Nikishin, “On simultaneous Padé approximants,” Mat. Sb.,113, (155), No. 4, 499–519 (1980).

    Google Scholar 

  3. E. M. Nikishin, “On a collection of power series,” Sib. Mat. Zh.,22, No. 4, 164–168 (1981).

    Google Scholar 

  4. G. Szegö, Orthogonal Polynomials, Amer. Math. Soc., Providence (1959).

    Google Scholar 

  5. V. N. Sorokin, “Generalization of Laguerre polynomials and convergence of simultaneous Padé approximants,” Usp. Mat. Nauk,41, No. 1, 207–208 (1986).

    Google Scholar 

  6. V. N. Sorokin, “Generalization of classical orthogonal polynomials and convergence of simultaneous Padé approximants,” Tr. Sem. Petrovsk., No. 11, 125–165 (1986).

    Google Scholar 

  7. V. V. Sorokin, “Asymptotic behavior of linear forms with polynomial coefficients for some functions of Stieltjes type,” Sib. Mat. Zh.,27, No. 1, 157–169 (1986).

    Google Scholar 

  8. V. N. Sorokin, “The convergence of simultaneous Padé approximants to functions of Stieltjes type,” Izv. Vyssh. Uchebn. Zaved. Matematika, No. 7, 48–56 (1987).

    Google Scholar 

  9. E. A. Rakhmanov, “On asymptotic properties of orthogonal polynomials on the real axis,” Mat. Sb.,119 (161), No. 2, 163–203 (1982).

    Google Scholar 

  10. H. Bateman and A. Erdélyi, Higher Transcendental Functions, Vol. II, McGraw-Hill, New York (1953).

    Google Scholar 

  11. M. I. Klyuchantsev, “Singular differential operators with r−1 parameters, and Bessel functions of a vector index,” Sib. Mat. Zh.,24, No. 3, 47–62 (1983).

    Google Scholar 

  12. M. I. Klyuchantsev, “Introduction to the theory of (v f1,...,v fr-1)” Mat. Sb.,132, (174), No. 2, 167–181 (1987).

    Google Scholar 

  13. V. N. Sorokin, “Convergence of simultaneous Padé approximants for a class of functions,” Mat. Sb.,132, No. 3, 391–400 (1987).

    Google Scholar 

  14. Y. L. Luke, Mathematical Functions and Their Approximations, Academic Press, New York (1975).

    Google Scholar 

  15. M. V. Fedoryuk, Asymptotics: Integrals and Series [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  16. O. I. Marichev, A Method of Calculating Integrals of Special Functions (Theory and Tables of Formulas) [in Russian], Nauka i Tekhnika, Minsk (1978).

    Google Scholar 

  17. M. I. Klyuchantsev, “Radial constitutive solution of a singular biharmonic equation,” in: Well-Posed Boundary Value Problems for Nonclassical Equations of Mathematical Physics [in Russian], Akad. Nauk SSSR, Sib. Br., Inst. Mat., Novosibirsk (1984), pp. 183–188.

    Google Scholar 

  18. N. C. de Bruijn, Asymptotic Methods in Analysis, North-Holland, Amsterdam (1958).

    Google Scholar 

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Moscow. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 5, pp. 128–137, September–October, 1990.

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Sorokin, V.N. Simultaneous Padé approximants of functions of Stieltjes type. Sib Math J 31, 809–817 (1990). https://doi.org/10.1007/BF00974495

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  • DOI: https://doi.org/10.1007/BF00974495

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