Year 2019, Volume 48 , Issue 6, Pages 1695 - 1705 2019-12-08

On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings

Yong SUN [1] , Zhi-gang WANG [2] , Antti RASİLA [3]


In this paper, we obtain the upper bounds to the third Hankel determinants for convex functions of order $\alpha$ and bounded turning functions of order $\alpha$. Furthermore, several relevant results on a new subclass of close-to-convex harmonic mappings are obtained. Connections of the results presented here to those that can be found in the literature are also discussed.
Univalent function, starlike function, convex function, bounded turning function, close-to-convex function, harmonic mapping, Hankel determinant
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Primary Language en
Subjects Mathematics
Journal Section Mathematics
Authors

Orcid: 0000-0001-8020-4684
Author: Yong SUN (Primary Author)
Institution: Hunan Institute of Engineering
Country: China


Orcid: 0000-0001-6118-7196
Author: Zhi-gang WANG
Institution: Hunan First Normal University
Country: China


Orcid: 0000-0003-3797-942X
Author: Antti RASİLA
Institution: Aalto University
Country: Finland


Dates

Publication Date : December 8, 2019

Bibtex @research article { hujms479171, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2019}, volume = {48}, pages = {1695 - 1705}, doi = {10.15672/HJMS.2018.632}, title = {On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings}, key = {cite}, author = {SUN, Yong and WANG, Zhi-gang and RASİLA, Antti} }
APA SUN, Y , WANG, Z , RASİLA, A . (2019). On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings. Hacettepe Journal of Mathematics and Statistics , 48 (6) , 1695-1705 . DOI: 10.15672/HJMS.2018.632
MLA SUN, Y , WANG, Z , RASİLA, A . "On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings". Hacettepe Journal of Mathematics and Statistics 48 (2019 ): 1695-1705 <https://dergipark.org.tr/en/pub/hujms/issue/50516/479171>
Chicago SUN, Y , WANG, Z , RASİLA, A . "On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings". Hacettepe Journal of Mathematics and Statistics 48 (2019 ): 1695-1705
RIS TY - JOUR T1 - On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings AU - Yong SUN , Zhi-gang WANG , Antti RASİLA Y1 - 2019 PY - 2019 N1 - doi: 10.15672/HJMS.2018.632 DO - 10.15672/HJMS.2018.632 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1695 EP - 1705 VL - 48 IS - 6 SN - 2651-477X-2651-477X M3 - doi: 10.15672/HJMS.2018.632 UR - https://doi.org/10.15672/HJMS.2018.632 Y2 - 2018 ER -
EndNote %0 Hacettepe Journal of Mathematics and Statistics On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings %A Yong SUN , Zhi-gang WANG , Antti RASİLA %T On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings %D 2019 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 48 %N 6 %R doi: 10.15672/HJMS.2018.632 %U 10.15672/HJMS.2018.632
ISNAD SUN, Yong , WANG, Zhi-gang , RASİLA, Antti . "On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings". Hacettepe Journal of Mathematics and Statistics 48 / 6 (December 2019): 1695-1705 . https://doi.org/10.15672/HJMS.2018.632
AMA SUN Y , WANG Z , RASİLA A . On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings. Hacettepe Journal of Mathematics and Statistics. 2019; 48(6): 1695-1705.
Vancouver SUN Y , WANG Z , RASİLA A . On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings. Hacettepe Journal of Mathematics and Statistics. 2019; 48(6): 1705-1695.