A Poisson integral formula for the ellipse and some applications

Author:
W. C. Royster

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

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References | Similar Articles | Additional Information

**[1]**E. T. Copson,*An introduction to the theory of functions of a complex vairable*, Clarendon Press, Oxford, 1935.**[1]**E. T. Copson,*An introduction to the theory of functions in a complex variable*, Oxford, 1935.**[2]**W. C. Royster,*Convexity and starlikeness of analytic functions*, Duke Math. J.**19**(1952), 447-457. MR**0050012 (14:261b)****[3]**-,*Functions having positive real part in an ellipse*, Proc. Amer. Math. Soc.**10**(1959), 266-269. MR**0105511 (21:4251)****[4]**-,*Coefficient problems for functions regular in an ellipse*, Duke Math. J.**26**(1959), 361-372. MR**0107008 (21:5736)****[5]**J. L. Walsh,*Note on the orthogonality of Tchebycheff polynomials on confocal ellipses*, Bull. Amer. Math. Soc.**40**(1934), 84-88. MR**1562802**

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DOI:
https://doi.org/10.1090/S0002-9939-1964-0203036-7

Article copyright:
© Copyright 1964
American Mathematical Society