ArticleOriginal scientific text

Title

Hardy class of functions defined by the Salagean operator

Authors 1, 2, 3

Affiliations

  1. Department of Mathematical Science, Niigata University, Niigata 950-2181, Japan
  2. Department of Mathematics, Nara University of Education, Takabatake, Nara 630-8301, Japan
  3. Department of Mathematics, Kinki University, Higashi-osaka, Osaka 577-8502, Japan

Abstract

We derive some properties of the Hardy class of analytic functions defined by the Salagean operator.

Keywords

Hardy class, Salagean operator, starlike

Bibliography

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  3. I. S. Jack, Functions starlike and convex of order α, J. London Math. Soc. 3 (1971), 469-474.
  4. Y. C. Kim, K. S. Lee and H. M. Srivastava, Certain classes of integral operators associated with the Hardy space of analytic functions, Complex Variables Theory Appl. 20 (1992), 1-12.
  5. M. Nunokawa, On starlikeness of Libera transformation, Complex Variables Theory Appl. 17 (1991), 79-83.
  6. G. S. Salagean, Subclasses of univalent functions, in: Lecture Notes in Math. 1013, C. A. Cazacu, N. Boboc, M. Jurchescu and I. Susiu (eds.) Springer, Berlin 1983, 362-372.
  7. D. R. Wilken and J. Feng, A remark on convex and starlike functions, J. London Math. Soc. 21 (1980), 287-290.
Pages:
25-30
Main language of publication
English
Received
1996-07-26
Published
1998
Exact and natural sciences