一类与贝努利双纽线和对称点有关的广义解析函数的三阶Hankel行列式
|
摘要
引入与贝努利双纽线有关且具有对称点的一类广义解析函数SLs*(α,μ),研究此类函数的三阶Hankel行列式H3(1),得到其上界估计.
In this paper,we introduce a class of generalized analytic functions,denoted by SLs*( α,μ),which are associated with lemniscate of Bernoulli and symmetric points. We investigate the Hankel determinant H3( 1) for these functions and the upper bound of the above determinant is obtained.
In this paper,we introduce a class of generalized analytic functions,denoted by SLs*( α,μ),which are associated with lemniscate of Bernoulli and symmetric points. We investigate the Hankel determinant H3( 1) for these functions and the upper bound of the above determinant is obtained.
引文
[1]GRAHAM I,KOHR G. Geometric Function Theory in One and Higher Dimensions[M]. New York:Marcel Dekker,2003.
[2]BANSAL D. Upper bound of second Hankel determinant for a new class of analytic functions[J]. Applied Mathematics Letters,2013,26(1):103-107.
[3]SOKOL J,STANKIEWICZ J. Radius of convexity of some subclasses of strongly starlike functions[J]. Zesz Nauk Politech Rzeszowskiej Mat,1996,19(19):101-105.
[4]ALI R M,CHO N E,RAVICHANDRAN V,et al. Differential subordination for functions associated with the lemniscate of Bernoulli[J]. Taiwan J Math,2012,16(16):1017-1026.
[5]SOKOL J. Coefficient estimates in a class of strongly starlike functions[J]. Kyungpook Math J,2009,49(2):349-353.
[6]NOONAN J W,THOMAS D K. On the second Hankel determinant of areally mean p-valent functions[J]. Trans Am Math Soc,1976,223(2):337-346.
[7]FEKETE M,SZEGG. Eine benberkung uber ungerada schlichte funktionen[J]. J London Math Soc,1933,8(2):85-89.
[8]SUDHARSAN T V,VIJAYALAKSHMIS P,STEPHEN B A. Third Hankel determinant for a subclass of analytic univalent functions[J]. Malaya J Mat,2014,2(4):438-444.
[9]BANSAL D,MAHARANA S,PRAJAPAT J K. Third order Hankel determinant for certain univalent functions[J]. J Korean Math Soc,2015,52(6):1139-1148.
[10]张海燕,汤获,马丽娜.一类解析函数的三阶Hankel行列式上界估计[J].纯粹数学与应用数学,2017,33(2):211-220.
[11]RAZA M,MALIK S N. Upper bound of the third Hankel determinant for a class of analytic functions related with lemniscate of Bernoulli[J]. J Inequal Appl,2013,2013(1):1-8.
[2]BANSAL D. Upper bound of second Hankel determinant for a new class of analytic functions[J]. Applied Mathematics Letters,2013,26(1):103-107.
[3]SOKOL J,STANKIEWICZ J. Radius of convexity of some subclasses of strongly starlike functions[J]. Zesz Nauk Politech Rzeszowskiej Mat,1996,19(19):101-105.
[4]ALI R M,CHO N E,RAVICHANDRAN V,et al. Differential subordination for functions associated with the lemniscate of Bernoulli[J]. Taiwan J Math,2012,16(16):1017-1026.
[5]SOKOL J. Coefficient estimates in a class of strongly starlike functions[J]. Kyungpook Math J,2009,49(2):349-353.
[6]NOONAN J W,THOMAS D K. On the second Hankel determinant of areally mean p-valent functions[J]. Trans Am Math Soc,1976,223(2):337-346.
[7]FEKETE M,SZEGG. Eine benberkung uber ungerada schlichte funktionen[J]. J London Math Soc,1933,8(2):85-89.
[8]SUDHARSAN T V,VIJAYALAKSHMIS P,STEPHEN B A. Third Hankel determinant for a subclass of analytic univalent functions[J]. Malaya J Mat,2014,2(4):438-444.
[9]BANSAL D,MAHARANA S,PRAJAPAT J K. Third order Hankel determinant for certain univalent functions[J]. J Korean Math Soc,2015,52(6):1139-1148.
[10]张海燕,汤获,马丽娜.一类解析函数的三阶Hankel行列式上界估计[J].纯粹数学与应用数学,2017,33(2):211-220.
[11]RAZA M,MALIK S N. Upper bound of the third Hankel determinant for a class of analytic functions related with lemniscate of Bernoulli[J]. J Inequal Appl,2013,2013(1):1-8.