We consider a subclass of univalent functions f (z) for which there corresponds a convex function g(z) of order α such that Re(zf'(z) / g(z)) ≥ β. We investigate the influence of the second coefficient of g(z) on this class. We also prove distortion, covering, and radius of convexity theorems
| Published in | Applied and Computational Mathematics (Volume 4, Issue 5) |
| DOI | 10.11648/j.acm.20150405.12 |
| Page(s) | 342-345 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2024. Published by Science Publishing Group |
Analytic Function, Univalent Function, Convex Function of Order α, Close-to-Convexity, Fixed Second Coefficient, Radius of Convexity
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APA Style
Selvaraj Chellian, Stelin Simpson, Logu Sivalingam. (2015). On a Subclass of Close-to-Convex Functions Associated with Fixed Second Coefficient. Applied and Computational Mathematics, 4(5), 342-345. https://doi.org/10.11648/j.acm.20150405.12
ACS Style
Selvaraj Chellian; Stelin Simpson; Logu Sivalingam. On a Subclass of Close-to-Convex Functions Associated with Fixed Second Coefficient. Appl. Comput. Math. 2015, 4(5), 342-345. doi: 10.11648/j.acm.20150405.12
AMA Style
Selvaraj Chellian, Stelin Simpson, Logu Sivalingam. On a Subclass of Close-to-Convex Functions Associated with Fixed Second Coefficient. Appl Comput Math. 2015;4(5):342-345. doi: 10.11648/j.acm.20150405.12
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Download@article{10.11648/j.acm.20150405.12,
author = {Selvaraj Chellian and Stelin Simpson and Logu Sivalingam},
title = {On a Subclass of Close-to-Convex Functions Associated with Fixed Second Coefficient},
journal = {Applied and Computational Mathematics},
volume = {4},
number = {5},
pages = {342-345},
doi = {10.11648/j.acm.20150405.12},
url = {https://doi.org/10.11648/j.acm.20150405.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20150405.12},
abstract = {We consider a subclass of univalent functions f (z) for which there corresponds a convex function g(z) of order α such that Re(zf'(z) / g(z)) ≥ β. We investigate the influence of the second coefficient of g(z) on this class. We also prove distortion, covering, and radius of convexity theorems},
year = {2015}
}
TY - JOUR T1 - On a Subclass of Close-to-Convex Functions Associated with Fixed Second Coefficient AU - Selvaraj Chellian AU - Stelin Simpson AU - Logu Sivalingam Y1 - 2015/08/19 PY - 2015 N1 - https://doi.org/10.11648/j.acm.20150405.12 DO - 10.11648/j.acm.20150405.12 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 342 EP - 345 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.20150405.12 AB - We consider a subclass of univalent functions f (z) for which there corresponds a convex function g(z) of order α such that Re(zf'(z) / g(z)) ≥ β. We investigate the influence of the second coefficient of g(z) on this class. We also prove distortion, covering, and radius of convexity theorems VL - 4 IS - 5 ER -
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