A Note on Convolution Conditions

Dileep L.; S. Latha

doi:https://doi.org/10.14445/22315373/IJMTT-V6P518

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 6 | Number 2 | Year 2014 | Article Id. IJMTT-V6P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V6P518

A Note on Convolution Conditions

Dileep L. , S. Latha

Abstract

In this note, we define the subclasses and of analytic functions using the fractional derivative . Some interesting sufficient conditions involving coefficients inequalities for functions belonging to the above classes are derived.

Keywords

Fractional derivative, Convolution condition, Janowski class.

References

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3. S. Latha, Coefficient inequalities and convolution conditions, Int. J. Contemp. Math. Sci., Vol.3, No.30, 1461-1467, 2008.
4. H. Silverman, Silvia, E.M. and Telage D., Convolution conditions for convexity, starlikeness and spiral likeness, Math. Z., 162, 125-130, 1978.
5. H. M. Srivastava and S Qwa, An application of the fractional derivative, Math. Japan, 29, 383-389, 1984.
6. Toshio Hayami, Shigeyoshi Owa and H.M. Srivastava, Coefficient inequalities for certain classes of analytic and univalent functions, Journal of Inequalities in Pure and Applied Mathematics, Vol. 8, Issue 4, Article 95, 2007.

Citation :

Dileep L. , S. Latha, "A Note on Convolution Conditions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 6, no. 2, pp. 189-191, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V6P518