A Subordination Theorem Involving a Multiplier Transformation

Billing, Sukhwinder Singh

Research Article

A Subordination Theorem Involving a Multiplier Transformation

Sukhwinder Singh Billing

Abstract

We, here, study a certain differential subordination involving a multiplier transformation which unifies some known differential operators. As a special case to our main result, we find some new results providing the best dominant for zp/f(z), z/f(z) and zp-1/f'(z), 1/f'(z).

How to Cite

S. S. Billing, A Subordination Theorem Involving a Multiplier Transformation, Int. J. Anal. Appl. 1 (2013), 100–105.

BibTeX

@article{Billing2013,
  author  = {Billing, Sukhwinder Singh},
  title   = {A Subordination Theorem Involving a Multiplier Transformation},
  journal = {Int. J. Anal. Appl.},
  volume  = {1},
  year    = {2013},
  pages   = {100--105},
  doi     = {}
}

References

[1] G. S. S˘alagean, Subclasses of univalent functions, Lecture Notes in Math., 1013 362-372, Springer-Verlag, Heideberg,1983.
[2] M. Obradovic, A class of univalent functions, Hokkaido Mathematical Journal, 27(2)(1998) 329-335.
[3] R. Aghalary, R. M. Ali, S. B. Joshi and V. Ravichandran, Inequalities for analytic functions defined by certain linear operators, Int. J. Math. Sci., 4(2005) 267-274.
[4] S. S. Miller and P. T. Mocanu, Differential Suordinations : Theory and Applications, (No. 225), Marcel Dekker, New York and Basel, 2000.
[5] T. N. Shanmugam, S. Sivasubramanian and H. Silverman, On sandwich theorems for some classes of analytic functions, International J. Math. and Math. Sci., Article ID 29684(2006) pp.1-13.
[6] Z. Wang, C. Gao and M. Liao, On certain generalized class of non-Bazilevi˘c functions, Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis, New Series, 21(2)(2005) 147-154.