http://repository.iitr.ac.in/handle/123456789/9913| Title: | A unified class of k-uniformly convex functions defined by the Dziok-Srivastava linear operator |
| Authors: | Ramachandran C. Shanmugam T.N. Srivastava H.M. Swaminathan, Anbhu |
| Published in: | Applied Mathematics and Computation |
| Abstract: | The main purpose of this paper is to introduce a new class UH (q, s, λ, β, k) of functions which are analytic in the open unit disk Δ = {z : z ∈ C and | z | < 1}. We obtain various results including characterization, coefficient estimates, and distortion and covering theorems, for functions belonging to the class UH (q, s, λ, β, k). © 2007 Elsevier Inc. All rights reserved. |
| Citation: | Applied Mathematics and Computation (2007), 190(2): 1627-1636 |
| URI: | https://doi.org/10.1016/j.amc.2007.02.042 http://repository.iitr.ac.in/handle/123456789/9913 |
| Issue Date: | 2007 |
| Keywords: | Analytic functions Convex functions Convolution products Dziok-Srivastava linear operator k-Uniformly convex functions Starlike functions |
| ISSN: | 963003 |
| Author Scopus IDs: | 55110346500 6602196606 23152241800 55209564300 |
| Author Affiliations: | Ramachandran, C., Department of Mathematics, Easwari Engineering College, Ramapuram, Chennai, 600 089 Tamilnadu, India Shanmugam, T.N., Department of Mathematics, College of Engineering, Anna University, Chennai, 600 025 Tamilnadu, India Srivastava, H.M., Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3P4, Canada Swaminathan, A., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247 667 Uttaranchal, India |
| Funding Details: | The present investigation was supported, in part, by the Natural Sciences and Engineering Research Council of Canada under Grant OGP0007353. |
| Corresponding Author: | Srivastava, H.M.; Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3P4, Canada; email: harimsri@math.uvic.ca |
| Appears in Collections: | Journal Publications [MA] |
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