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首页> 外文期刊>Journal of Quality Measurement and Analysis: JQMA >INITIAL BOUNDS FOR CERTAIN SUBCLASSES OF GENERALIZED SALAGEAN TYPE BI-UNIVALENT FUNCTIONS ASSOCIATED WITH THE HORADAM POLYNOMIALS
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INITIAL BOUNDS FOR CERTAIN SUBCLASSES OF GENERALIZED SALAGEAN TYPE BI-UNIVALENT FUNCTIONS ASSOCIATED WITH THE HORADAM POLYNOMIALS

机译：与Horadam多项式相关的一般雄性型函数的某些子类的初始界限

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摘要

This study proposes the use of Horadam polynomials which are known as their special cases, such as the Fibonacci polynomials, the Lucas polynomials, the Pell polynomials, the PellLucas polynomials, and Chebyshev polynomials of the second kind. The aim of this study is to introduce a new subclass of generalized Salagean type bi-univalent functions using Hadamard product and defined by Horadam polynomials h_n (x) in the open unit disk U = {z ∈ C:|z| < 1} We obtained coefficient estimates of the Taylor-Maclaurin |a_2| a and |a_3| a for functions f belonging to this newly defined subclass. Fekete-Szego inequalities were also studied. Moreover, we give some interesting results using the relation between Salagean's differential operator and generalized Salagean differential operator
机译：本研究提出了使用称为它们的特殊情况的Horadam多项式，例如斐波纳契多项式，卢卡斯多项式，沉积多项式，薄层多项式和第二种Chebyshev多项式。 本研究的目的是使用Hadamard产品引入全面的Salagean型双单价函数的新子类，并由Open单元盘U = {Z = C：| Z |由Horadam多项式H_N（X）定义 我们获得了Taylor-Maclaurin的系数估计A_2 | A和| A_3 | A for函数f属于此新定义的子类。 Fekete-Szego也研究了不平等。 此外，我们使用Salagean的差分运营商与广义雄性差分运算符之间的关系给出一些有趣的结果

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