非巴齐勒函数的汉克尔行列式

IF 1.6 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2025-06-30 DOI:10.1007/s13324-025-01099-x

Paweł Zaprawa, Mohsan Raza, Muniba Amin

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引用次数: 0

摘要

给出了非bazilevic函数的二阶Hankel行列式的明确界。我们还给出了这类函数的逆系数和对数逆系数的第二汉克尔行列式的明确界限。进一步给出了对数系数的非锐界。我们的结果为这类函数长期存在的开放性问题提供了解决方案。

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Hankel determinants for non-bazilevic functions

Sharp bounds are given for second Hankel determinant for the class of non-Bazilevic functions. We also give sharp bounds for the second Hankel determinant for the inverse and logarithmic inverse coefficients for this class of functions. Furthermore, non sharp bound for logarithmic coefficients is provided. Our results provide solution to long standing open problems for this class of functions.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.