Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Integrals of certain univalent functions


Authors: Ram Singh and Sunder Singh
Journal: Proc. Amer. Math. Soc. 77 (1979), 336-340
MSC: Primary 30C45
DOI: https://doi.org/10.1090/S0002-9939-1979-0545592-6
MathSciNet review: 545592
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we study integrals of certain univalent functions in the unit disc $ E = \{ z:\vert z\vert < 1\} $ and extend some well-known results of Libera.


References [Enhancements On Off] (What's this?)

  • [1] I. S. Jack, Functions starlike and convex of order $ \alpha $, J. London Math. Soc. (2) 3 (1971), 469-474. MR 0281897 (43:7611)
  • [2] R. J. Libera, Some classes of regular univalent functions, Proc. Amer. Math. Soc. 16 (1965), 755-758. MR 0178131 (31:2389)
  • [3] St. Ruscheweyh, New criteria for univalent functions, Proc. Amer. Math. Soc. 49 (1975), 109-115. MR 0367176 (51:3418)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 30C45

Retrieve articles in all journals with MSC: 30C45


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1979-0545592-6
Keywords: Univalent, starlike and convex functions, convolution/Hadamard product
Article copyright: © Copyright 1979 American Mathematical Society

American Mathematical Society