PSEUDOSTARLIKE, PSEUDOCONVEX, AND CLOSE-TO-PSEUDOCONVEX DIRICHLET SERIES SATISFYING DIFFERENTIAL EQUATIONS WITH EXPONENTIAL COEFFICIENTS

O. M. Holovata; O.M. Mulyava; M. M. Sheremeta

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PSEUDOSTARLIKE, PSEUDOCONVEX, AND CLOSE-TO-PSEUDOCONVEX DIRICHLET SERIES SATISFYING DIFFERENTIAL EQUATIONS WITH EXPONENTIAL COEFFICIENTS

机译：PseudoSarlike，pseudoconvex和近距为伪曲面串联符合指数系数的微分方程

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摘要

The concepts of pseudostarlikeness, pseudoconvexity, and closeness to pseudoconvexity are introduced for the Dirichlet series with the null abscissa of absolute convergence. The obtained results are used to study the properties of solutions of the differential equations with exponential coefficients.

机译：将Dirichlet系列引入了伪坐，伪细胞，伪奇形，伪细胞和接近对伪细胞的概念。所得结果用于研究微分方程与指数系数的溶液的性质。

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来源
《Journal of Mathematical Sciences》 |2020年第3期|369-388|共20页
作者
O. M. Holovata; O.M. Mulyava; M. M. Sheremeta;
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作者单位

I. Franko Lviv National University Lviv Ukraine.;

Kiev National University of Food Technologies Kiev Ukraine;

I. Franko Lviv National University Lviv Ukraine.;

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正文语种 eng
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关键词
Dirichlet series; pseudostarlikeness, pseudoconvexity, closeness to pseudoconvexity, differential equation;

机译：Dirichlet系列;PseudoStarliking;伪电池;伪旋转奇;微分方程;

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机译：满足线性微分方程的幂级数系数的分母
2. Orthogonal matrix polynomials satisfying differential equations with recurrence coefficients having non-scalar limits [J] . Borrego J., Castro M., Durán A.J. Integral transforms and special functions . 2012,第7a9期

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3. Orthogonal matrix polynomials satisfying differential equations with recurrence coefficients having non-scalar limits [J] . Jorge Borregoa Mirta Castrob*, Antonio J. DurÃ¡nc Integral Transforms and Special Functions . 2012,第9期

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4. Truncated and Infinite Power Series in the Role of Coefficients of Linear Ordinary Differential Equations [C] . Sergei A. Abramov, Denis E. Khmelnov, Anna A. Ryabenko International Workshop on Computer Algebra in Scientific Computing . 2020

机译：截断和无限功率系列中的线性常微分方程系数的作用
5. Comparison and Spectral Theory for Ordinary Differential Equations with Distributional Coefficients [D] . Ghatasheh, Ahmed A. 2018

机译：分布系数的常微分方程的比较与光谱理论
6. The Dirichlet Problem for Linear Elliptic Equations of Arbitrary Even Order with Variable Coefficients [O] . Felix E. Browder 1952

机译：变系数任意偶数线性椭圆方程的Dirichlet问题。
7. Pseudostarlike and pseudoconvex Dirichlet series of the order $lpha$ and the type $eta$ [O] . M.M. Sheremeta 2020

机译：Pseudostarlike和pseudoconvex dirichlet系列订单$ alpha $和type $ beta $

PSEUDOSTARLIKE, PSEUDOCONVEX, AND CLOSE-TO-PSEUDOCONVEX DIRICHLET SERIES SATISFYING DIFFERENTIAL EQUATIONS WITH EXPONENTIAL COEFFICIENTS

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