An extension of the univalence criterion for a family of integral operators

Erhan Deniz; Halit Orhan

Annales UMCS, Mathematica (2010)

  • Volume: 64, Issue: 2, page 29-35
  • ISSN: 2083-7402

Abstract

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The main object of the present paper is to extend the univalence condition for a family of integral operators. Relevant connections of some of the results obtained in this paper with those in earlier works are also provided.

How to cite

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Erhan Deniz, and Halit Orhan. "An extension of the univalence criterion for a family of integral operators." Annales UMCS, Mathematica 64.2 (2010): 29-35. <http://eudml.org/doc/268291>.

@article{ErhanDeniz2010,
abstract = {The main object of the present paper is to extend the univalence condition for a family of integral operators. Relevant connections of some of the results obtained in this paper with those in earlier works are also provided.},
author = {Erhan Deniz, Halit Orhan},
journal = {Annales UMCS, Mathematica},
keywords = {Integral operator; analytic functions; univalent functions; open unit disk; univalence criterion; integral operator},
language = {eng},
number = {2},
pages = {29-35},
title = {An extension of the univalence criterion for a family of integral operators},
url = {http://eudml.org/doc/268291},
volume = {64},
year = {2010},
}

TY - JOUR
AU - Erhan Deniz
AU - Halit Orhan
TI - An extension of the univalence criterion for a family of integral operators
JO - Annales UMCS, Mathematica
PY - 2010
VL - 64
IS - 2
SP - 29
EP - 35
AB - The main object of the present paper is to extend the univalence condition for a family of integral operators. Relevant connections of some of the results obtained in this paper with those in earlier works are also provided.
LA - eng
KW - Integral operator; analytic functions; univalent functions; open unit disk; univalence criterion; integral operator
UR - http://eudml.org/doc/268291
ER -

References

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  1. Breaz, D., Breaz, N., The univalent conditions for an integral operator on the classes S(p) and T2, J. Approx. Theory Appl. 1(2) (2005), 93-98. Zbl1092.30016
  2. Breaz, D., Breaz, N., Sufficient univalence conditions for analytic functions, J. Inequal. Appl. 2007 (2007), Article ID 86493, 5 pp. Zbl1146.30302
  3. Breaz, D., Breaz, N. and Srivastava, H. M., An extension of the univalent condition for a family of integral operators, Appl. Math. Lett. 22 (2009), 41-44.[Crossref][WoS] Zbl1163.30304
  4. Frasin, B. A., A note on certain analytic and univalent functions, Southeast Asian Bull. Math. 28(5) (2004), 829-836. Zbl1062.30013
  5. Kim, Y. J., Merkes, E. P., On an integral of powers of a spirallike function, Kyungpook Math. J. 12 (1972), 249-252. Zbl0252.30017
  6. Frasin, B. A., Darus, M., On certain analytic univalent functions, Int. J. Math. Math. Sci. 25(5) (2001), 305-310.[Crossref] Zbl0973.30013
  7. Nehari, Z., Conformal Mapping, Dover Publications, Inc., New York, 1975. Zbl0048.31503
  8. Ozaki, S., Nunokawa, M., The Schwarzian derivative and univalent functions, Proc. Amer. Math. Soc. 33 (1972), 392-394.[Crossref] Zbl0233.30011
  9. Pascu, N. N., Pescar, V., On the integral operators of Kim-Merkes and of Pfaltzgraff, Mathematica (Cluj) 32(55), no. 2 (1990) 185-192. Zbl0761.30011
  10. Pascu, N., An improvement of Becker's univalence criterion, Proceedings of the Commemorative Session Simion Stoilow (Braşov, 1987), 43-98, Univ. Braşov, Braşov, 1987. 
  11. Seenivasagan, N., Breaz, D., Certain sufficient conditions for univalence, Gen. Math. 15(4) (2007), 7-15. Zbl1199.30161

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