Hadamard compositions of Gelfond-Leont'ev derivatives of analytic functions

Myroslav M. Sheremeta; Oksana M. Mulyava

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Hadamard compositions of Gelfond-Leont'ev derivatives of analytic functions

机译：Ghyond-Leont'ev的Hadamard组成分析功能的衍生物

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摘要

For analytic functions f and g, the growth of the Hadamard composition of their Gelfond-Leont'ev derivatives is investigated in terms of generalized orders. A relation between the behaviors of the maximal terms of the Hadamard composition of Gelfond-Leont'ev derivatives and those of the Gelfond-Leont'ev derivative of a Hadamard composition is established.

机译：对于分析功能F和G，根据广义订单调查了他们的Gelfond-Leont'ev衍生品的Hadamard组成的生长。建立了Gelfond-Leont'ev衍生品的哈马德组成的最大条款的行为与Hadamard组成的Gelfond-Leont'ev衍生物的行为之间的关系。

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来源
《Journal of Mathematical Sciences》 |2020年第5期|769-785|共17页
作者
Myroslav M. Sheremeta; Oksana M. Mulyava;
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作者单位

Ivan Pranko National University of Lviv Lviv Ukraine;

Kyiv National University of Food Technologies Kyiv Ukraine;

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正文语种 eng
中图分类
关键词
Analytic function, Hadamard composition, Gelfond-Leont'ev derivative, maximal term;

机译：分析功能;Hadamard Composition;Gelfond-Leont'ev衍生物;最大术语;

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专利

1. On some compositions of Hadamard type in classes of analytic functions [J] . Loewner C., Netanyahu E. Bulletin of the American Mathematical Society . 1959,第4期

机译：关于解析函数类中的Hadamard类型的某些成分
2. Modified Hadamard product properties of certain class of analytic functions with varying arguments defined by Ruscheweyh derivative [J] . Páll-Szabó ágnes Orsolya Miskolc Mathematical Notes . 2017,第1期

机译：Ruscheweyh导数定义的，具有可变参数的某些类解析函数的修正Hadamard乘积性质
3. A subordination result involving Ruscheweyh derivatives and Hadamard product of certain classes of analytic functions [J] . H. ?zlem Güney, R. K. Raina Rendiconti del Circolo Matematico di Palermo . 2007,第2期

机译：包含Ruscheweyh导数和某些类型的解析函数的Hadamard乘积的从属结果
4. On New Inequalities of Hermite Hadamard Type for Functions Whose Second Derivatives in Absolute Value Are s-Convex [C] . Erhan Set, Necla Korkut International Conference on Advances in Natural and Applied Sciences . 2016

机译：关于Hermite Hadamard类型的新不等式，其第二衍生物绝对值的函数是S-Convex
5. Weighted Composition Operators Acting on Some Classes of Banach Spaces of Analytic Functions [D] . Hmidouch, Nacir. 2017

机译：作用于分析功能的某些类别的Banach空间的加权组成算子
6. Parametrized inequality of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex [O] . Shan-He Wu, Banyat Sroysang, Jin-Shan Xie, -1

机译：三阶导数绝对值为准凸的函数的Hermite-Hadamard类型的参数化不等式
7. On some compositions of Hadamard type in classes of analytic functions [O] . C. Loewner, E. Netanyahu 1959

机译：关于分析函数类别的Hadamard类型的一些组成
8. On Some Compositions of Hadamard Type in Classes of Analytic Functions [R] . C. Loewner, E. Netanyahu 1959

机译：关于解析函数类中Hadamard型的一些成分

Hadamard compositions of Gelfond-Leont'ev derivatives of analytic functions

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