On subordination for classes of non-Bazilevič type

Rabha Ibrahim; Maslina Darus; Nikola Tuneski

Annales UMCS, Mathematica (2010)

  • Volume: 64, Issue: 2, page 49-60
  • ISSN: 2083-7402

Abstract

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We give some subordination results for new classes of normalized analytic functions containing differential operator of non-Bazilevič 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 Ibrahim, Maslina Darus, and Nikola Tuneski. "On subordination for classes of non-Bazilevič type." Annales UMCS, Mathematica 64.2 (2010): 49-60. <http://eudml.org/doc/268288>.

@article{RabhaIbrahim2010,
abstract = {We give some subordination results for new classes of normalized analytic functions containing differential operator of non-Bazilevič type in the open unit disk. By using Jack's lemma, sufficient conditions for this type of operator are also discussed.},
author = {Rabha Ibrahim, Maslina Darus, Nikola Tuneski},
journal = {Annales UMCS, Mathematica},
keywords = {Fractional calculus; subordination; non-Bazilevič; function; Jack's lemma; fractional calculus; non-Bazilevič function; Jack's Lemma},
language = {eng},
number = {2},
pages = {49-60},
title = {On subordination for classes of non-Bazilevič type},
url = {http://eudml.org/doc/268288},
volume = {64},
year = {2010},
}

TY - JOUR
AU - Rabha Ibrahim
AU - Maslina Darus
AU - Nikola Tuneski
TI - On subordination for classes of non-Bazilevič type
JO - Annales UMCS, Mathematica
PY - 2010
VL - 64
IS - 2
SP - 49
EP - 60
AB - We give some subordination results for new classes of normalized analytic functions containing differential operator of non-Bazilevič 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-Bazilevič; function; Jack's lemma; fractional calculus; non-Bazilevič function; Jack's Lemma
UR - http://eudml.org/doc/268288
ER -

References

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  13. Srivastava, H. M., Owa, S. (Eds.), Current Topics in Analytic Function Theory, World Scientific Publishing Company, Singapore, New Jersey, London, Hong Kong, 1992. Zbl0976.00007
  14. Tuneski, N., Darus, M., Fekete-Szegö functional for non-Bazilevič functions, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 18(2) (2002), 63-65. Zbl1017.30012
  15. Wang, Z., Gao, C. and Liao, M., On certain generalized class of non-Bazilevič functions, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 21(2) (2005), 147-154. Zbl1092.30032

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