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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The symmetric derivative on the $(k-1)$-dimensional hypersphere
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by Victor L. Shapiro PDF
Trans. Amer. Math. Soc. 81 (1956), 514-524 Request permission
References
    K. K. Chen, On the CesĂ ro-summability of the Laplace’s series of hyperspherical functions, The Science Reports of the TĂŽhoku Imperial University vol. 17 (1928) pp. 1073-1089. A. ErdĂ©lyi, W. Magnus, F. Oberhettinger, F. G. Tricomi, Higher transcendental functions, vol. 1, New York, 1953. —, Higher transcendental functions, vol. 2, New York, 1953.
  • G. H. Hardy, Divergent Series, Oxford, at the Clarendon Press, 1949. MR 0030620
  • G. H. Hardy and J. E. Littlewood, Abel’s theorem and its converse, Proc. London Math. Soc. vol. 18 (1920) pp. 205-235. E. Kogbetliantz, Recherches sur la sommabilitĂ© des sĂ©ries ultraspheriques par la mĂ©thod des moyennes arithmetiques, Jour. de Math. vol. 3 (1924) pp. 107-187. G. Szegö, Orthogonal polynomials, New York, 1939. A. Zygmund, Trigonometrical series, Warsaw, 1935.
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Additional Information
  • © Copyright 1956 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 81 (1956), 514-524
  • MSC: Primary 42.1X
  • DOI: https://doi.org/10.1090/S0002-9947-1956-0076906-0
  • MathSciNet review: 0076906