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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Certain linear combinations of Hausdorff summability methods
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by B. Vanderburg PDF
Trans. Amer. Math. Soc. 71 (1951), 466-477 Request permission
References
  • H. L. Garabedian, Einar Hille, and H. S. Wall, Formulations of the Hausdorff inclusion problem, Duke Math. J. 8 (1941), 193–213. MR 3829
  • G. H. Hardy, Divergent Series, Oxford, at the Clarendon Press, 1949. MR 0030620
  • G. H. Hardy and M. Riesz, The general theory of Dirichlet series, Cambridge Tracts in Mathematics and Physics, no. 18, 1915.
  • Felix Hausdorff, Summationsmethoden und Momentfolgen. I, Math. Z. 9 (1921), no. 1-2, 74–109 (German). MR 1544453, DOI 10.1007/BF01378337
  • E. Hille, On the logarithmic derivative of the gamma function, Det Kegl. Danske Videnskabernes Selskab vol. 8 (1927) pp. 3-58.
  • Raymond E. A. C. Paley and Norbert Wiener, Fourier transforms in the complex domain, American Mathematical Society Colloquium Publications, vol. 19, American Mathematical Society, Providence, RI, 1987. Reprint of the 1934 original. MR 1451142, DOI 10.1090/coll/019
  • W. W. Rogosinski, On Hausdorff’s methods of summability, Proc. Cambridge Philos. Soc. 38 (1942), 166–192. MR 6380
  • W. W. Rogosinski, On Hausdorff’s methods of summability. II, Proc. Cambridge Philos. Soc. 38 (1942), 344–363. MR 7802
  • H. S. Wall, Analytic Theory of Continued Fractions, D. Van Nostrand Co., Inc., New York, N. Y., 1948. MR 0025596
  • E. Whittaker and G. Watson, A course of modern analysis, New York, Macmillan, 1945, pp. 278-279.
  • David Vernon Widder, The Laplace Transform, Princeton Mathematical Series, vol. 6, Princeton University Press, Princeton, N. J., 1941. MR 0005923
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Additional Information
  • © Copyright 1951 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 71 (1951), 466-477
  • MSC: Primary 40.0X
  • DOI: https://doi.org/10.1090/S0002-9947-1951-0045224-4
  • MathSciNet review: 0045224