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Order and type of basic sets of polynomials associated with functions of algebraic semi block matrices

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Abstract

§ 1 is an introduction to basic sets of polynomials and to algebraic infinite matrices. In § 2 we investigate the order of basic sets associated with functions of algebraic semi block matrices whose elements are of a certain order of magnitude. In § 3 we investigate the type of such basic sets.

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References

  1. R. G. Cooke,Infinite matrices and sequence spaces, Macmillan, London, 1950.

    Google Scholar 

  2. M. T. Eweida, On the convergence properties of basic series representing integral functions,Proc. Math. Phys. Soc. U.A.R. (Egypt) 4 (1950), 31–38.

    Google Scholar 

  3. L. Fantappiè, Sulle funzioni di una matrice,An. Acad. Brasil. Ci. 26 (1954), 25–33.

    Google Scholar 

  4. R. H. Makar andA. Hamza, On basic sets of polynomials with given coefficients,Nederl. Akad. Wetensch. Proc. Ser. A. 58 (1955), 438–448.

    Google Scholar 

  5. R. H. Makar andI. Homsy, Functions and series of algebraic infinite matrices,Bull. Sci. Ain Shams Univ. 11 (1967); 235–256.

    Google Scholar 

  6. M. N. Mikhail, Basic sets of polynomials and their reciprocal, product and quotient sets,Duke Math. J. 20 (1953), 459–479.

    Google Scholar 

  7. H. Schwerdtfeger,Les fonctions de matrices, Paris, 1938.

  8. J. M. Whittaker,Séries de base polynomes quelconques, Paris, 1949.

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Authors and Affiliations

  1. Faculty of Science, Ain Shams University, Cairo, Abbassia, Egypt

    R. H. Makar & L. Fawzy

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  1. R. H. Makar
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  2. L. Fawzy
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Makar, R.H., Fawzy, L. Order and type of basic sets of polynomials associated with functions of algebraic semi block matrices. Period Math Hung 4, 207–215 (1973). https://doi.org/10.1007/BF02276108

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  • DOI: https://doi.org/10.1007/BF02276108

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