Certain properties for a class of analytic functions associated with hypergeometric functions

Authors

  • Khadeejah R. Alhindi Universiti Kebangsaan, Malaysia
  • Maslina Darus Universiti Kebangsaan, Malaysia

DOI:

https://doi.org/10.33993/jnaat432-1023

Keywords:

analytic function, coefficient inequalities, Schwarz inequality, closure theorems, Hadamard product, convolution properties, integral operator
Abstract views: 365

Abstract

In this particular paper, we investigate coefficient inequalities, closure theorems, convolution properties for the functions belonging to the class \( \mathcal{S}^{m,r,s}_{\lambda_1,\lambda_2}(\eta)\). Further, integral transforms of functions in the same class are also discussed.

Downloads

Download data is not yet available.

References

J. Dziok and H. M. Srivastava, Classes of analytic functions associated with the generalized hypergeometric function, Appl. Math. Comput., 103(1) (1999), pp. 1-13, http://dx.doi.org/10.1016/S0096-3003(98)10042-5 DOI: https://doi.org/10.1016/S0096-3003(98)10042-5

M. H. Al-Abbadi and M. Darus, Differential subordination for new generalized derivative operator, Acta Univ. Apulensis, 20 (2009), pp. 265-280. DOI: https://doi.org/10.1109/NABIC.2009.5393410

Yu. E. Hohlov, Operators and operations in the class of univalent functions, Izv. Vyssh. Uchebn. Zaved. Mat., 10(10) (1978), pp. 83-89.

B. C. Carlson and D. B. Shaffer, Starlike and prestar like hypergeometric function, SIAM J. Math. Anal., 15(4) (1984), pp. 737-745, 1984, http://dx.doi.org/10.1137/0515057 DOI: https://doi.org/10.1137/0515057

S. Ruscheweyh, New criteria for univalent functions, Proc. Amer. Math. Soc., 49 (1975), pp. 109-115, http://dx.doi.org/10.1090/S0002-9939-1975-0367176-1 DOI: https://doi.org/10.1090/S0002-9939-1975-0367176-1

K. Al-Shaqsi and M. Darus, On univalent functions with respect to the k-symmetric points defined by a generalization Ruscheweyh derivative operators, Jour. Anal. Appl., 7(1) (2009), pp. 53-61.

K. Al-Shaqsi and M. Darus, Differential Subordination with generalized derivative operator, Int. J. Comp. Math. Sci., 2(2) (2008), pp. 75-78.

J. Nishiwaki and S. Owa, Convolutions for certain analytic functions, Gen. Math., 15 (2007), no. 2-3, pp. 38-51.

Downloads

Published

2014-08-01

How to Cite

Alhindi, K. R., & Darus, M. (2014). Certain properties for a class of analytic functions associated with hypergeometric functions. Rev. Anal. Numér. Théor. Approx., 43(2), 103–112. https://doi.org/10.33993/jnaat432-1023

Issue

Vol. 43 No. 2 (2014)

Section

Articles

License

Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.