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A Coefficient Problem for Functions Regular in an Annulus

Published online by Cambridge University Press:  20 November 2018

M. S. Robertson
M. S. Robertson*
Affiliation:
Rutgers University
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1. Introduction A solution will be given in this paper for the following problem.

Let

(1.1)

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 4 , 1952, pp. 407 - 423
Copyright
Copyright © Canadian Mathematical Society 1952

References

1. Dieudonné, J., Recherches sur quelques problémes relatifs aux polynomes et aux fonctions bornées d'une variable complexe, Ann. École Normale (3), vol. 48 (1931), 247–358.Google Scholar
2. Goodman, A. W., On some determinants related to p-valent functions, Trans. Amer. Math. Soc, vol. 63 (1948), 175–192.Google Scholar
3. Goodman, A. W. and Robertson, M. S., A class of multivalent functions, Trans. Amer. Math. Soc, vol. 70 (1951), 127–136.Google Scholar
4. Kakeya, S., On the function whose imaginary part on the unit circle changes its sign only twice, Proc. Imp. Acad. Tokyo, vol. 18 (1942), 435–439.Google Scholar
5. Robertson, M. S., Analytic functions star-like in one direction, Amer. J. Math., vol. 58 (1936), 465–472.Google Scholar
6. Robertson, M. S., A representation of all analytic functions in terms of functions with positive real parts, Ann. Math., vol. 38 (1937), 770–783.Google Scholar
7. Robertson, M. S., The variation of the sign of V for an analytic function U + iV, Duke Math. J., vol. 5 (1939), 512–519.Google Scholar
8. Rogosinski, W., Über positive harmonische Entwicklungen und typisch-reelle Potenzreihen, Math. Z., vol. 35 (1932), 93–121.Google Scholar
9. Szász, O., Über Funktionen, die den Einheitskreis schlicht abbilden, Jber. dtsch. MatVer. vol. 42 (1932), 73–75.Google Scholar