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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 30 | Number 1 | Year 2016 | Article Id. IJMTT-V30P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V30P503

Subclasses of Analytic Functions Associated with Hyper geometric Functions


Dr. N Ravikumar, Dr. Dileep L, Dr. S Latha
Abstract

In the present work we find the necessary and sufficient conditions for functions

Keywords
Starlike, Convex, Hyper geometric function, Integral operator, Janowski class.
References

[1] O Altinats and S Owa, On Subclasses of univalent functions with negative coefficients, Pusan Kyongnam Math., J., 4(1988), 41-56.
[2] N E Cho, S Y Woo and S Owa, Uniform convexity properties for hyper geometric functions, Frac. Calculus Appl. Anal., 5(3) (2002), 303-313.
[3] Ganesan M S , Convolutions of analytic functions, Ph.D.Thesis, University of Madras, Madras, 41-46,1983.
[4] E Merkes and B T Scott, Starlike hyper geometric functions, Proc. Amer. Math. Soc. 12(1961), 885-888.
[5] A O Mostafa, A study of starlike and convex properties of hyper geometric function, JIPAm., Vol. 10(2009), Iss. 3, Art. 87, 8pp.
[6] S Ruscheweyh and V Singh, On the order of starlikeness of hyper geometric functions, J. Math. Anal. Appl., 113(1986), 1-11.
[7] H Silvermann, Starlike and convexity properties for hyper geometric functions, J. Math. Anal. Appl., 172(1993), 574- 581. 

Citation :

Dr. N Ravikumar, Dr. Dileep L, Dr. S Latha, "Subclasses of Analytic Functions Associated with Hyper geometric Functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 30, no. 1, pp. 16-22, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V30P503

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