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On approximation and generalized type of analytic functions of several complex variables

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Analysis in Theory and Applications

Abstract

In the present paper, we study the polynomial approximation of analytic functions of several complex variables. The characterizations of generalized type of analytic functions of several complex variables have been obtained in terms of approximation and interpolation errors.

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References

  1. Janik, A., A Characterization of the Growth of Analytic Functions by Means of Polynomial Approximation, Univ. Iagel. Acta Math., 24 (1984), 295–319.

    MathSciNet  Google Scholar 

  2. Janik, A., On Approximation of Analytic Functions and Generalized Order, Ann. Polon. Math., 55 (1991), 163–167.

    MATH  MathSciNet  Google Scholar 

  3. Seremeta, M. N., On the Connection Between the Growth of a Function Analytic in a Disc and Modulie of its Taylor Series, Visnik L’viv. Derzh. Univ. Ser. Mekh. Mat., 2 (1965), 101–110.

    MathSciNet  Google Scholar 

  4. Seremeta, M. N., On the Connection Between the Growth of the Maximum Modulus of an Entire Function and the Moduli of the Coefficients of its Power Series Expansion, Amer. Math. Soc. Transl., 88:2(1970), 291–301.

    Google Scholar 

  5. Winiarski, T., Application of Approximation and Interpolation Methods to the Examination of Entire Functions of Complex Variables, Ann. Pol. Math., 28 (1973), 97–121.

    MATH  MathSciNet  Google Scholar 

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Correspondence to G. S. Srivastava.

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Srivastava, G.S., Kumar, S. On approximation and generalized type of analytic functions of several complex variables. Anal. Theory Appl. 27, 101–108 (2011). https://doi.org/10.1007/s10496-011-0101-z

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  • DOI: https://doi.org/10.1007/s10496-011-0101-z

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