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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 34 | Number 1 | Year 2016 | Article Id. IJMTT-V34P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V34P501

A note on q –Ruscheweyh type functions


P.Nandini, S.Latha
Abstract

The objective of the present paper is to define a class using q – Ruscheweyh differential operator . For functions belonging to this class we obtain coefficient estimates, extreme points and many more properties.

Keywords
Univalent functions, q- Ruscheweyh differential operator, q-Komoto operator.
References

[1] O.altintas, and S. Owa, “On subclasses of univalent functions with negative coefficients,” pusam Kyongnam Math , vol. 4 , pp. 41-56 , 1988.
[2] Hedi elmonser , Kamel Brahim and Ahmed Fitouhi , “Relationship between characterization of the q-gamma function,” Journal of inequalities and special functions, vol. 3, No.4 , pp. 50-58 ,2012.
[3] A.O. Mostafa , “A study on star like and convex properties for hyper geometric functions,” Journal of inequalities in pure and applied Mathematics, vol. 10, No.3, pp. 87-88 , 2009.
[4] N.Shilpa and S.Latha , “A note on Ruscheweyh type function, “ Rajasthan Acad.Phy.Sci., Vol. 10, No.1 , pp. 53-62, 2011.
[5] S.Ruscheweyh , “New Criteria for univalent functions,” Proc.Amer. Math.Soc, vol. 49 , pp. 109-115 , 1975.
[6] A.Thomas ernst,” method for q-calculus,” Journal of non linear Mathematical physics,vol. 10,No. 4 , pp. 487-525 , 2003 .

Citation :

P.Nandini, S.Latha, "A note on q –Ruscheweyh type functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 34, no. 1, pp. 1-4, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V34P501

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