SECOND ORDER HANKEL DETERMINANTS FOR CLASS OF BOUNDED TURNING FUNCTIONS DEFINED BY SĂLĂGEAN DIFFERENTIAL OPERATOR

Hussaini Joshua, A. Adeniji, M. Mogbonju, M. Hameed
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Abstract

. In this paper, a brief study of certain properties of bounded turning functions is carried out. Furthermore, bound to the famous Fekete - Szego functional H 2 (1) = | a 3 − ta 22 | , with t real and the Second Hankel Determinant H 2 (2) = | a 2 a 4 − a 23 | for functions of bounded turning of order β associated with Salagean differential operator are obtained using a succinct mathematical approach.
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由sĂlĂgean微分算子定义的一类有界转动函数的二阶汉克尔行列式
. 本文对有界翻转函数的某些性质作了简要的研究。进一步,用简洁的数学方法得到了与Salagean微分算子相关的β阶有界转动函数的Fekete - Szego泛函H 2 (1) = | a 3−ta 22 |与t实数的约束和第二Hankel行列式H 2 (2) = | a 2 a 4−a 23 |。
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