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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the Hilbert matrix. I
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by Marvin Rosenblum PDF
Proc. Amer. Math. Soc. 9 (1958), 137-140 Request permission
References
    A. Erdélyi, Higher transcendental functions, I, 1953. G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities, 1952.
  • C. K. Hill, The Hilbert bound of a certain doubly-infinite matrix, J. London Math. Soc. 32 (1957), 7–17. MR 84121, DOI 10.1112/jlms/s1-35.1.128-s
  • A. E. Ingham, A note on Hilbert’s-inequality, J. London Math. Soc. vol. 11 (1936) pp. 237-240.
  • Tosio Kato, On the Hilbert matrix, Proc. Amer. Math. Soc. 8 (1957), 73–81. MR 83965, DOI 10.1090/S0002-9939-1957-0083965-4
  • Wilhelm Magnus, Über einige beschränkte Matrizen, Arch. Math. 2 (1949/50), 405–412 (1951) (German). MR 44030, DOI 10.1007/BF02036945
  • Hari Shanker, An integral equation for Whittaker’s confluent hypergeometric function, Proc. Cambridge Philos. Soc. 45 (1949), 482–483. MR 29452, DOI 10.1017/S0305004100025111
  • G. Szegö, Orthogonal polynomials, Amer. Math Soc. Colloquium Publications, vol. 23, 1939. O. Taussky, Bull. Amer. Math. Soc. Research Problem 60-3-12. E. C. Titchmarsh, Theory of functions, 2d ed., 1939. E. T. Whittaker and G. N. Watson, Modern analysis, 4th ed., 1952. A. Zygmund, Trigonometrical series, 1936.
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Additional Information
  • © Copyright 1958 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 9 (1958), 137-140
  • MSC: Primary 40.00; Secondary 46.00
  • DOI: https://doi.org/10.1090/S0002-9939-1958-0094626-0
  • MathSciNet review: 0094626