On New Linear Operator Associated with Gaussian Hypergeometric Functions

Authors

  • Firas Ghanim Ahmed Department of Mathematics, College of Sciences, University of Sharjah, Sharjah
  • Maslina Darus School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600 Selangor D. Ehsan
  • Sebastien Gaboury Department of Mathematics and Computer Science, University of Quebec at Chicoutimi Chicoutimi, Quebec G7H 2B1

DOI:

https://doi.org/10.26713/jims.v7i3.328

Keywords:

Meromorphic functions, Hadamard product, Linear operator, Functions with positive real part, Integral operator

Abstract

In the present paper, we introduce new classes \(\sum_n^*(\alpha,\beta,k,\rho)\) and \(\sum_n(\alpha,\beta,k,\rho)\) of meromorphic functions dened by means of the linear operator \(L^* (\alpha,\beta) f (z)\) for function in \({\mathbb U}^* =\{z:0 < |z| < 1\}\) and investigate a number of inclusion relationships of these classes. We also derive some interesting properties of these classes.

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References

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Published

2015-12-31
CITATION

How to Cite

Ahmed, F. G., Darus, M., & Gaboury, S. (2015). On New Linear Operator Associated with Gaussian Hypergeometric Functions. Journal of Informatics and Mathematical Sciences, 7(3), 121–130. https://doi.org/10.26713/jims.v7i3.328

Issue

Vol. 7 No. 3 (2015)

Section

Research Articles

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