A hypergeometric mean value
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- by B. C. Carlson PDF
- Proc. Amer. Math. Soc. 16 (1965), 759-766 Request permission
References
- Edwin F. Beckenbach and Richard Bellman, Inequalities, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 30, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1961. MR 0158038
- B. C. Carlson, Lauricella’s hypergeometric function $F_{D}$, J. Math. Anal. Appl. 7 (1963), 452–470. MR 157017, DOI 10.1016/0022-247X(63)90067-2 G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, 2nd ed., Cambridge Univ. Press, Cambridge, 1959.
- J. N. Whiteley, Some inequalities concerning symmetric forms, Mathematika 5 (1958), 49–57. MR 95233, DOI 10.1112/S0025579300001340
- J. N. Whiteley, A generalization of a theorem of Newton, Proc. Amer. Math. Soc. 13 (1962), 144–151. MR 140432, DOI 10.1090/S0002-9939-1962-0140432-9 E. T. Whittaker and G. N. Watson, Modern analysis, 4th ed., Cambridge Univ. Press, Cambridge, 1946; p. 258.
Additional Information
- © Copyright 1965 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 16 (1965), 759-766
- MSC: Primary 33.20
- DOI: https://doi.org/10.1090/S0002-9939-1965-0179389-6
- MathSciNet review: 0179389