ONE CLASS OF BIORTHOGONAL SYSTEMS OF FUNCTIONS THAT ARISE IN THE SOLUTION OF THE HELMHOLTZ EQUATION IN THE CYLINDRICAL COORDINATE SYSTEM

M. A. Sukhorolsky; V. V. Dostoyna

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ONE CLASS OF BIORTHOGONAL SYSTEMS OF FUNCTIONS THAT ARISE IN THE SOLUTION OF THE HELMHOLTZ EQUATION IN THE CYLINDRICAL COORDINATE SYSTEM

机译：圆柱坐标系中亥姆霍兹方程解的一类函数的双正交系统

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摘要

We consider one class of systems of functions biorthogonal on a closed contour in a complex domain. We study properties of these systems of functions and conditions for expandability of analytic functions in series in the basic system. Examples of expansion of elementary functions in such series are given.

机译：我们考虑在复杂域中的闭合轮廓上双正交的一类功能系统。我们研究这些功能系统的性质以及在基本系统中串联分析功能的条件。给出了在这种系列中扩展基本功能的例子。

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《Journal of Mathematical Sciences》 |2013年第5期|541-554|共14页
作者
M. A. Sukhorolsky; V. V. Dostoyna;
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作者单位

'L'vivs'ka Politekhnika' National University, Lviv, Ukraine;

'L'vivs'ka Politekhnika' National University, Lviv, Ukraine;

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ONE CLASS OF BIORTHOGONAL SYSTEMS OF FUNCTIONS THAT ARISE IN THE SOLUTION OF THE HELMHOLTZ EQUATION IN THE CYLINDRICAL COORDINATE SYSTEM

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