A Unified Class of Analytic Functions with Varying Argument of Coefficients
Keywords:
Analytic functions, Convex functions, k-Starlike functions, Uniformly convex functions, Varying arguments of coefficients, Subordination between analytic functions, Hadamard product (or convolution), Generalized hypergeometric function, Dziok-Srivastava opeAbstract
The object of the present paper is to investigate several classes of analytic functions with varying argument of coefficients, which are defined here by means of the principle of subordination between analytic functions. Such properties as the coefficient estimates, distortion theorems, subordination theorems, convolution properties, integral means inequalities, and radii of convexity and starlikenes are investigated. Some consequences of our main results for new or known classes of analytic functions are also pointed out.
Downloads
Published
Issue
Section
License
Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.
By agreeing to this statement, you acknowledge that:
- You retain full copyright over your work.
- The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
- This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.