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

Erhan Deniz; Halit Orhan

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2010)

  • Volume: 54, Issue: 2
  • ISSN: 0365-1029

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 Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 54.2 (2010): null. <http://eudml.org/doc/289722>.

@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 Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Integral operator; analytic functions; univalent functions; open unit disk; univalence criterion},
language = {eng},
number = {2},
pages = {null},
title = {An extension of the univalence criterion for a family of integral operators},
url = {http://eudml.org/doc/289722},
volume = {54},
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 Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2010
VL - 54
IS - 2
SP - null
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
UR - http://eudml.org/doc/289722
ER -

References

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  1. Breaz, D., Breaz, N., The univalent conditions for an integral operator on the classes 𝒮 ( p ) and 𝒯 2 , J. Approx. Theory Appl. 1(2) (2005), 93-98. 
  2. Breaz, D., Breaz, N., Sufficient univalence conditions for analytic functions, J. Inequal. Appl. 2007 (2007), Article ID 86493, 5 pp. 
  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. 
  4. Frasin, B. A., A note on certain analytic and univalent functions, Southeast Asian Bull. Math. 28(5) (2004), 829-836. 
  5. Kim, Y. J., Merkes, E. P., On an integral of powers of a spirallike function, Kyungpook Math. J. 12 (1972), 249-252. 
  6. Frasin, B. A., Darus, M., On certain analytic univalent functions, Int. J. Math. Math. Sci. 25(5) (2001), 305-310. 
  7. Nehari, Z., Conformal Mapping, Dover Publications, Inc., New York, 1975. 
  8. Ozaki, S., Nunokawa, M., The Schwarzian derivative and univalent functions, Proc. Amer. Math. Soc. 33 (1972), 392-394. 
  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. 
  10. Pascu, N., An improvement of Becker’s univalence criterion, Proceedings of the Commemorative Session Simion Stoilow (Bra¸sov, 1987), 43-98, Univ. Brasov, Brasov, 1987. 
  11. Seenivasagan, N., Breaz, D., Certain sufficient conditions for univalence, Gen. Math. 15(4) (2007), 7-15. 

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