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GJMA Global Journal of Mathematical Analysis E-ISSN 2307-9002

Holder Inequalities for a subclass of univalent functions involving Dziok-Srivastava Operator

Abstract

In this paper, we introduce a new subclasses of univalent functions defined in the open unit disc involving Dziok-Srivastava Operator . The results on modified Hadamard product ,Holder inequalities and closure properties underintegral transforms are discussed.

Authors and Affiliations

  • Gangadharan Murugusundaramoorthy
  • k vijaya VIT UNIVERSITY,VELLORE,INDIA-14
  • k Deepa VIT UNIVERSITY,VELLORE-14

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References

[1] M. K. Aouf and G.Murugusundaramoorthy, On a subclass of uniformly convex functions defined by the Dziok-Srivastava Operator, Austral. J.Math.Anal.and appl.(AJMAA) Volume 5, Issue 1, Article 3, pp. 1-17,( 2008).

[2] S. D. Bernardi, Convex and starlike univalent functions, Trans. Amer. Math. Soc., 135 (1969), pp.429–446.

[3] B. C. Carlson and D. B. Shaffer, Starlike and prestarlike hypergeometric functions, SIAM J. Math. Anal., 15(1984), pp. 737–745.

[4] J.H. Choi, Y.C. Kim and S. Owa, Generalizations of Hadamard products of functions with negative coefficients, J.Math. Anal. Appl., 199 (1996), pp. 495-501.

[5] J.Dziok and H.M.Srivastava, Certain subclasses of analytic functions associated with the generalized hypergeometric function, Intergral Transform and Spec. Funct., 14 (2003), pp.7 - 18.

View more references (7)

[6] J. Dziok, and R. K. Raina (2004). Families of analytic functions associated with the Wright generalized hypergeometric function, Demonstratio Math., 37 (3), pp. 533–542.

[7] Y.C. Kim and F. Ronning, Integral transform of certain subclasses of analytic functions, J. Math. Anal. Appl., 258, (2001), pp. 466 - 489.

[8] J. Nishiwaki, S. Owa and H.M. Srivastava, Convolution and Holder-type inequalities for a certain class of analytic functions, Math. Inequal. Appl., 11 (2008), pp.717-727.

[9] S.Owa and H.M.Srivastava:Univalent and Starlike generalized hypergeometric functions, Canad.J.Math.39(1987), pp.1057-1077.

[10] S.Ruscheweyh, New criteria for univalent functions, Proc. Amer. Math. Soc. 49, (1975), pp.109–115.

[11] H. Silverman, Univalent functions with negative coefficients, Proc. Amer. Math. Soc. , 51 (1975), pp.109 - 116.

[12] A. Schild and H. Silverman, Convolution of univalent functions with negative coefficients, Ann. Univ. Mariae-Curie Sklodowska Sect.A 29 (1975), pp.99 - 107.


How to Cite

Murugusundaramoorthy, G., vijaya, k, & Deepa, k. (2013). Holder Inequalities for a subclass of univalent functions involving Dziok-Srivastava Operator. Global Journal of Mathematical Analysis, 1(3), 74-82. https://doi.org/10.14419/gjma.v1i3.938