A derivative for Hausdorff-analytic functions
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- by Walter O. Portmann
- Proc. Amer. Math. Soc. 10 (1959), 101-105
- DOI: https://doi.org/10.1090/S0002-9939-1959-0106989-9
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References
- Salomon Bochner and William Ted Martin, Several Complex Variables, Princeton Mathematical Series, vol. 10, Princeton University Press, Princeton, N. J., 1948. MR 0027863 F. Hausdorff, Zur theories der systeme complexer Zahlen, Leipziger Berichte, vol. 52 (1900) pp. 43-61. W. F. Osgood, Lehrbuch der Funktionentheorie, vol. 2, part 1, 2d ed., Leipzig, 1929, Chapter I.
- R. F. Rinehart, The equivalence of definitions of a matric function, Amer. Math. Monthly 62 (1955), 395–414. MR 69908, DOI 10.2307/2306996
- R. F. Rinehart, Extension of the derivative concept for functions of matrices, Proc. Amer. Math. Soc. 8 (1957), 329–335. MR 84564, DOI 10.1090/S0002-9939-1957-0084564-0 F. Ringleb, Beitrage Zur Funktionentheorie in Hypercomplexen Systemen, I, Rend. Circ. Mat. Palermo vol. 57 (1933) pp. 311-340.
Bibliographic Information
- © Copyright 1959 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 10 (1959), 101-105
- MSC: Primary 30.00
- DOI: https://doi.org/10.1090/S0002-9939-1959-0106989-9
- MathSciNet review: 0106989