Differential sandwich theorems for analytic functions defined by Cho-Kwon-Srivastava operator

Mohamed Aouf; Rabha El-Ashwah

Annales UMCS, Mathematica (2009)

  • Volume: 63, Issue: 1, page 17-27
  • ISSN: 2083-7402

Abstract

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By making use of Cho-Kwon-Srivastava operator, we obtain some subordinations and superordinations results for certain normalized analytic functions.

How to cite

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Mohamed Aouf, and Rabha El-Ashwah. "Differential sandwich theorems for analytic functions defined by Cho-Kwon-Srivastava operator." Annales UMCS, Mathematica 63.1 (2009): 17-27. <http://eudml.org/doc/267596>.

@article{MohamedAouf2009,
abstract = {By making use of Cho-Kwon-Srivastava operator, we obtain some subordinations and superordinations results for certain normalized analytic functions.},
author = {Mohamed Aouf, Rabha El-Ashwah},
journal = {Annales UMCS, Mathematica},
keywords = {Hadamard product; Cho-Kwon-Srivastava operator; subordination; superordination},
language = {eng},
number = {1},
pages = {17-27},
title = {Differential sandwich theorems for analytic functions defined by Cho-Kwon-Srivastava operator},
url = {http://eudml.org/doc/267596},
volume = {63},
year = {2009},
}

TY - JOUR
AU - Mohamed Aouf
AU - Rabha El-Ashwah
TI - Differential sandwich theorems for analytic functions defined by Cho-Kwon-Srivastava operator
JO - Annales UMCS, Mathematica
PY - 2009
VL - 63
IS - 1
SP - 17
EP - 27
AB - By making use of Cho-Kwon-Srivastava operator, we obtain some subordinations and superordinations results for certain normalized analytic functions.
LA - eng
KW - Hadamard product; Cho-Kwon-Srivastava operator; subordination; superordination
UR - http://eudml.org/doc/267596
ER -

References

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  2. Bernardi, S. D., Convex and starlike univalent functions, Trans. Amer. Math. Soc. 135 (1969), 429-446. Zbl0172.09703
  3. Bulboacă, T., A class of first-order differential superordination, Demonstratio Math. 35, no. 2 (2002), 287-292. Zbl1010.30020
  4. Bulboacă, T., Differential Subordinations and Superordinations, Recent Results, House of Scientific Book Publ., Cluj-Napoca, 2005. 
  5. Cho, N. E., Kwon, O. S. and Srivastava, H. M., Inclusion relationships and argument properties for certain subclasses of multivalent functions associated with a family of linear operators, J. Math. Anal. Appl. 292 (2004), 470-483. Zbl1059.30006
  6. Choi, J. H., Saigo, M. and Srivastava, H. M., Some inclusion properties of a certain family of integral operators, J. Math. Anal. Appl. 276 (2002), 432-445. Zbl1035.30004
  7. Miller, S. S., Mocanu, P. T., Differential Subordination Theory and Applications, Marcel Dekker, New York, 2000. 
  8. Miller, S. S., Mocanu, P. T., Subordinant of differential superordinations, Complex Var. Theory Appl. 48, no. 10 (2003), 815-826. Zbl1039.30011
  9. Murugusundaramoorthy, G., Magesh, N., Differential subordinations and superordinations for analytic functions defined by Dziok-Srivastava linear operator, JIPAM. J. Inequal. Pure Appl. Math. 7, no. 4 (2006), Art. 152, 9 pp. Zbl1131.30315
  10. Murugusundaramoorthy, G., Magesh, N., Differential sandwich theorem for analytic functions defined by Hadamard product, Ann. Univ. Mariae Curie-Skłodowska Sect. A 61 (2007), 117-127. 
  11. Noor, K. I., Noor, M. A., On integral operators, J. Math. Anal. Appl., 238 (1999), 341-352. Zbl0934.30007
  12. Shanmugam, T. N., Ravichandran, V. and Sivasubramanian, S., Differential sandwich theorems for same subclasses of analytic functions, Aust. J. Math. Anal. Appl. 3, no. 1 (2006), Art. 8, 11 pp. Zbl1091.30019

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