Subordination and superordination of certain linear operator on meromorphic functions

M. Aouf; T. Seoudy

Annales UMCS, Mathematica (2010)

  • Volume: 64, Issue: 1, page 1-16
  • ISSN: 2083-7402

Abstract

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Using the methods of differential subordination and superordination, sufficient conditions are determined on the differential linear operator of meromorphic functions in the punctured unit disk to obtain, respectively, the best dominant and the best subordinant. New sandwich-type results are also obtained.

How to cite

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M. Aouf, and T. Seoudy. "Subordination and superordination of certain linear operator on meromorphic functions." Annales UMCS, Mathematica 64.1 (2010): 1-16. <http://eudml.org/doc/268295>.

@article{M2010,
abstract = {Using the methods of differential subordination and superordination, sufficient conditions are determined on the differential linear operator of meromorphic functions in the punctured unit disk to obtain, respectively, the best dominant and the best subordinant. New sandwich-type results are also obtained.},
author = {M. Aouf, T. Seoudy},
journal = {Annales UMCS, Mathematica},
keywords = {Analytic function; linear operator; Hadamard product; differential subordination; superordination; analytic function},
language = {eng},
number = {1},
pages = {1-16},
title = {Subordination and superordination of certain linear operator on meromorphic functions},
url = {http://eudml.org/doc/268295},
volume = {64},
year = {2010},
}

TY - JOUR
AU - M. Aouf
AU - T. Seoudy
TI - Subordination and superordination of certain linear operator on meromorphic functions
JO - Annales UMCS, Mathematica
PY - 2010
VL - 64
IS - 1
SP - 1
EP - 16
AB - Using the methods of differential subordination and superordination, sufficient conditions are determined on the differential linear operator of meromorphic functions in the punctured unit disk to obtain, respectively, the best dominant and the best subordinant. New sandwich-type results are also obtained.
LA - eng
KW - Analytic function; linear operator; Hadamard product; differential subordination; superordination; analytic function
UR - http://eudml.org/doc/268295
ER -

References

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  1. Ali, R. M., Ravichandran, V. and Seenivasagan, N., Subordination and superordination of Liu-Srivastava linear operator on meromorphic functions, Bull. Malays. Math. Sci. Soc. 31, no. 2 (2008), 193-207. Zbl1151.30016
  2. Aouf, M. K., Hossen, H. M., New criteria for meromorphic p-valent starlike functions, Tsukuba J. Math. 17 (1993), 481-486. Zbl0804.30012
  3. Liu, J.-L., Owa, S., Certain meromorphic p-valent functions, Taiwanese J. Math. 2, no. 1 (1998), 107-110. Zbl0909.30012
  4. Liu, J.-L., Srivastava, H. M., Subclasses of meromorphically multivalent functions associated with a certain linear operator, Math. Comput. Modelling 39, no. 1 (2004), 35-44.[WoS] Zbl1049.30009
  5. Miller, S. S, Mocanu, P. T., Differential Subordinations: Theory and Applications, Series on Monographs and Textbooks in Pure and Applied Mathematics, Vol. 225, Marcel Dekker, New York and Basel, 2000. 
  6. Miller, S. S, Mocanu, P. T., Subordinants of differential superordinations, Complex Var. Theory Appl. 48, no. 10 (2003), 815-826. Zbl1039.30011
  7. Srivastava, H. M., Patel, J., Applications of differential subordinations to certain classes of meromorphically multivalent functions, J. Ineq. Pure Appl. Math. 6, no. 3, art. 88 (2005), pp. 15. Zbl1096.30012
  8. Uralegaddi, B. A., Somanatha, C., New criteria for meromorphic starlike univalent functions, Bull. Austral. Math. Soc. 43 (1991), 137-140. Zbl0708.30016

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