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## 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 Mathematics Mathematics Orcid: 0000-0001-8020-4684Author: Yong SUN (Primary Author)Institution: Hunan Institute of EngineeringCountry: China Orcid: 0000-0001-6118-7196Author: Zhi-gang WANG Institution: Hunan First Normal UniversityCountry: China Orcid: 0000-0003-3797-942XAuthor: Antti RASİLA Institution: Aalto UniversityCountry: Finland 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 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.