On subordination for classes of non-Bazilevic type

Rabha W. Ibrahim; Maslina Darus; Nikola Tuneski

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

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

Abstract

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We give some subordination results for new classes of normalized analytic functions containing differential operator of non-Bazilevic type in the open unit disk. By using Jack’s lemma, sufficient conditions for this type of operator are also discussed.

How to cite

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Rabha W. Ibrahim, Maslina Darus, and Nikola Tuneski. "On subordination for classes of non-Bazilevic type." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 54.2 (2010): null. <http://eudml.org/doc/289752>.

@article{RabhaW2010,
abstract = {We give some subordination results for new classes of normalized analytic functions containing differential operator of non-Bazilevic type in the open unit disk. By using Jack’s lemma, sufficient conditions for this type of operator are also discussed.},
author = {Rabha W. Ibrahim, Maslina Darus, Nikola Tuneski},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Fractional calculus; subordination; non-Bazilevic function; Jack’s lemma},
language = {eng},
number = {2},
pages = {null},
title = {On subordination for classes of non-Bazilevic type},
url = {http://eudml.org/doc/289752},
volume = {54},
year = {2010},
}

TY - JOUR
AU - Rabha W. Ibrahim
AU - Maslina Darus
AU - Nikola Tuneski
TI - On subordination for classes of non-Bazilevic type
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2010
VL - 54
IS - 2
SP - null
AB - We give some subordination results for new classes of normalized analytic functions containing differential operator of non-Bazilevic type in the open unit disk. By using Jack’s lemma, sufficient conditions for this type of operator are also discussed.
LA - eng
KW - Fractional calculus; subordination; non-Bazilevic function; Jack’s lemma
UR - http://eudml.org/doc/289752
ER -

References

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  1. Darus, M., Ibrahim, R. W., Coefficient inequalities for a new class of univalent functions, Lobachevskii J. Math. 29(4) (2008), 221-229. 
  2. Ibrahim, R. W., Darus, M., On subordination theorems for new classes of normalize analytic functions, Appl. Math. Sci. (Ruse) 2(56) (2008), 2785-2794. 
  3. Ibrahim, R. W., Darus, M., Subordination for new classes of non-Bazilevic type, UNRI-UKM Symposium, KE-4 (2008). 
  4. Ibrahim, R. W., Darus, M., Differential subordination results for new classes of the family ℰ ( Φ , Ψ ) , JIPAM. J. Ineq. Pure Appl. Math. 10(1) (2009), Art. 8, 9 pp. 
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  10. Raina, R. K., Srivastava, H. M., A certain subclass of analytic functions associated with operators of fractional calculus, Comput. Math. Appl. 32 (1996), 13-19. 
  11. Shanmugam, T. N., Ravichangran, V. and Sivasubramanian, S., Differential sandwich theorems for some subclasses of analytic functions, Austral. J. Math. Anal. Appl. 3(1) (2006), 1-11. 
  12. Srivastava, H. M., Owa, S. (Eds.), Univalent Functions, Fractional Calculus, and Their Applications, Halsted Press, John Wiley and Sons, New York, Chichester, Brisbane, Toronto, 1989. 
  13. Srivastava, H. M., Owa, S. (Eds.), Current Topics in Analytic Function Theory, World Scientific Publishing Company, Singapore, New Jersey, London, Hong Kong, 1992. 
  14. Tuneski, N., Darus, M., Fekete-Szego functional for non-Bazilevic functions, Acta Math. Acad. Paedagog. Nyhazi. (N.S.) 18(2) (2002), 63-65. 
  15. Wang, Z., Gao, C. and Liao, M., On certain generalized class of non-Bazilevic functions, Acta Math. Acad. Paedagog. Nyhazi. (N.S.) 21(2) (2005), 147-154. 

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