A proof of the power series expansion without Cauchy’s formula
HTML articles powered by AMS MathViewer
- by P. Porcelli and E. H. Connell PDF
- Bull. Amer. Math. Soc. 67 (1961), 177-181
References
- Robert L. Plunkett, A topological proof of the continuity of the derivative of a function of a complex variable, Bull. Amer. Math. Soc. 65 (1959), 1–4. MR 104782, DOI 10.1090/S0002-9904-1959-10251-2
- Robert L. Plunkett, Openness of the derivative of a complex function, Proc. Amer. Math. Soc. 11 (1960), 671–675. MR 117718, DOI 10.1090/S0002-9939-1960-0117718-5 3. J. Schur, Über Potenzreihen, die im Innern des Einheitskreises beschränkt sind, Crelle’s Journal vol. 147 (1917) pp. 205-232.
- L. M. Weiner and Pasquale Porcelli, A derivation of Cauchy’s inequality for polynomials, Univ. Nac. Tucumán Rev. Ser. A 11 (1957), 25–27. MR 92851
- Gordon Thomas Whyburn, Topological analysis, Princeton Mathematical Series, No. 23, Princeton University Press, Princeton, N. J., 1958. MR 0099642
Additional Information
- Journal: Bull. Amer. Math. Soc. 67 (1961), 177-181
- DOI: https://doi.org/10.1090/S0002-9904-1961-10559-4
- MathSciNet review: 0123687