Hardy class of functions defined by the Salagean operator

Norio Niwa; Toshiya Jimbo; Shigeyoshi Owa

Annales Polonici Mathematici (1998)

  • Volume: 69, Issue: 1, page 25-30
  • ISSN: 0066-2216

Abstract

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

How to cite

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Norio Niwa, Toshiya Jimbo, and Shigeyoshi Owa. "Hardy class of functions defined by the Salagean operator." Annales Polonici Mathematici 69.1 (1998): 25-30. <http://eudml.org/doc/270339>.

@article{NorioNiwa1998,
abstract = {We derive some properties of the Hardy class of analytic functions defined by the Salagean operator.},
author = {Norio Niwa, Toshiya Jimbo, Shigeyoshi Owa},
journal = {Annales Polonici Mathematici},
keywords = {Hardy class; Salagean operator; starlike},
language = {eng},
number = {1},
pages = {25-30},
title = {Hardy class of functions defined by the Salagean operator},
url = {http://eudml.org/doc/270339},
volume = {69},
year = {1998},
}

TY - JOUR
AU - Norio Niwa
AU - Toshiya Jimbo
AU - Shigeyoshi Owa
TI - Hardy class of functions defined by the Salagean operator
JO - Annales Polonici Mathematici
PY - 1998
VL - 69
IS - 1
SP - 25
EP - 30
AB - We derive some properties of the Hardy class of analytic functions defined by the Salagean operator.
LA - eng
KW - Hardy class; Salagean operator; starlike
UR - http://eudml.org/doc/270339
ER -

References

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  1. [1] P. L. Duren, Theory of H p Spaces, Monographs Textbooks Pure Appl. Math. 38, Academic Press, New York. 1970. 
  2. [2] P. J. Eenigenburg and F. R. Keogh, The Hardy class of some univalent functions and their derivatives, Michigan Math. J. 17 (1970), 335-346. Zbl0206.35901
  3. [3] I. S. Jack, Functions starlike and convex of order α, J. London Math. Soc. 3 (1971), 469-474. Zbl0224.30026
  4. [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. Zbl0774.30051
  5. [5] M. Nunokawa, On starlikeness of Libera transformation, Complex Variables Theory Appl. 17 (1991), 79-83. Zbl0758.30011
  6. [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. [7] D. R. Wilken and J. Feng, A remark on convex and starlike functions, J. London Math. Soc. 21 (1980), 287-290. Zbl0431.30007

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