A Poisson integral formula for the ellipse and some applications
HTML articles powered by AMS MathViewer
- by W. C. Royster PDF
- Proc. Amer. Math. Soc. 15 (1964), 661-670 Request permission
References
-
E. T. Copson, An introduction to the theory of functions of a complex vairable, Clarendon Press, Oxford, 1935.
E. T. Copson, An introduction to the theory of functions in a complex variable, Oxford, 1935.
- W. C. Royster, Convexity and starlikeness of analytic functions, Duke Math. J. 19 (1952), 447–457. MR 50012
- W. C. Royster, Functions having positive real part in an ellipse, Proc. Amer. Math. Soc. 10 (1959), 266–269. MR 105511, DOI 10.1090/S0002-9939-1959-0105511-0
- W. C. Royster, Coefficient problems for functions regular in an ellipse, Duke Math. J. 26 (1959), 361–371. MR 107008
- J. L. Walsh, Note on the orthogonality of Tchebycheff polynomials on confocal ellipses, Bull. Amer. Math. Soc. 40 (1934), no. 2, 84–88. MR 1562802, DOI 10.1090/S0002-9904-1934-05809-9
Additional Information
- © Copyright 1964 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 15 (1964), 661-670
- MSC: Primary 30.35
- DOI: https://doi.org/10.1090/S0002-9939-1964-0203036-7
- MathSciNet review: 0203036