On a New Class of Meromorphic Multivalent Functions Defined by Fractional Differ-integral Operator

Authors

  • Waggas Galib Atshan
  • Najah Ali Jiben Al-Ziadi

DOI:

https://doi.org/10.31642/JoKMC/2018/050102

Keywords:

Meromorphiccmultivalent function, fractionalldiffer-integralloperator, distortion bounds, radius of starlikeness, extreme points.

Abstract

In this work, we submite and study a newlclass of meromorphiccmultivalent functions defined by fractional differ-integral operator . We gain some geometric properties , such as, coefficient inequality, growth and distortion bounds, convolution properties, integral representation, radii of starlikeness and convexity, extreme points, weighted mean and arithmetic mean for functions belonging to the class

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References

A. R. S. Juma and H. I. Dhayea, On a subclass of meromoephic function with fixed second coefficient involving Fox-Wrightʹs generalized Hypergeometic function, General Mathematical Notes, 28(2), 2015, pp: 30-41.

H. M. Srivastava, M. Saigo and S. Owa, "A class of distortion theorems involving certain operators of fractional calculus", Journal of Mathematical Analysis and Applications, 131, 1988, pp: 412-420. DOI: https://doi.org/10.1016/0022-247X(88)90215-6

H. M. Srivastava and S. Owa, Univalent functions, fractional calculus and their applications, Halsted Press (Ellis Horwood Limited, Chichester) (John Wiley and Sons, New York, Chichester, Brisbane and Toronto), 1989.

H. M. Srivastava and S. Owa, Current topics in analytic function theory, World Scientific Publising Company, Singapore, New Jersey, London and Hong Kong, 1992. DOI: https://doi.org/10.1142/1628

M. Bhagtani and P. Vijaywargiya, "On a subclass of meromorphic multivalent functions defined by fractional calculus operators", Tamsui Oxford Journal of Mathematical Sciences, 25(1), 2009, pp:15-25.

M. K. Aouf, T. M. Seoudy and G. M. El-Hawsh, Subclass of meromorphic univalent function defined by Ruscheweyh derivative with fixed second coefficients, Southeast Asian Bulletin of Mathematics, 41, 2017, pp: 473-480.

S. Ruscheweyh, New criteria for univalent functions, Proceedings of the American Mathematical Society, 49(1), 1975, pp:109-115. DOI: https://doi.org/10.1090/S0002-9939-1975-0367176-1

S. Owa,MM. Saigo and H.MM. Srivastava,SSome characterizationl theorems for starlike and convex functions involving a certain fractional integral operator, Journal of Mathematical Analysis and Applications, 140, 1989, pp: 419-426. DOI: https://doi.org/10.1016/0022-247X(89)90075-9

S. Owa, On the distortion theorems I, Kyungpook Mathematical Journal, 18, 1978, pp: 53-59.

T. Panigrahi and L. Jena, A new class of meromorphic multivalent functions defined by linear operator, Journal of Analysis and Number Theory, 4(2), 2016, pp: 91- 99. DOI: https://doi.org/10.18576/jant/040202

W. G. Atshan, L. A. Alzopee and M. M. Alcheikh, "On fractional calculus operators of a class of meromorphic multivalent functions", General Mathematical Notes, 18(2), 2013, pp: 92-103.

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Published

2018-05-23

How to Cite

Atshan, W. G., & Al-Ziadi, N. A. J. (2018). On a New Class of Meromorphic Multivalent Functions Defined by Fractional Differ-integral Operator. Journal of Kufa for Mathematics and Computer, 5(1), 12–20. https://doi.org/10.31642/JoKMC/2018/050102

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