Sharp Bounds on the Higher Order Schwarzian Derivatives for Janowski Classes
Abstract
:1. Introduction
2. Main Results
- 1.
- If , then
- 2.
- (a) If either of the set of conditions:(b) If and:
- 3.
- If and:
- 1.
- If , then .
- 2.
- (a) If A and B satisfy either:
- 3.
- If A and B satisfy the conditions , and:
3. Conclusion
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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Cho, N.E.; Kumar, V.; Ravichandran, V. Sharp Bounds on the Higher Order Schwarzian Derivatives for Janowski Classes. Symmetry 2018, 10, 348. https://doi.org/10.3390/sym10080348
Cho NE, Kumar V, Ravichandran V. Sharp Bounds on the Higher Order Schwarzian Derivatives for Janowski Classes. Symmetry. 2018; 10(8):348. https://doi.org/10.3390/sym10080348
Chicago/Turabian StyleCho, Nak Eun, Virendra Kumar, and V. Ravichandran. 2018. "Sharp Bounds on the Higher Order Schwarzian Derivatives for Janowski Classes" Symmetry 10, no. 8: 348. https://doi.org/10.3390/sym10080348