Modification of the Abel-Plana formula for functions with non-integrable branch-points

Fialkovsky I

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Modification of the Abel-Plana formula for functions with non-integrable branch-points

机译：具有不可积分分支点的函数的Abel-Plana公式的修改

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摘要

The Abel-Plana formula (APF) is a widely used tool for calculations in Casimir-type problems. In this paper, we present a particular explicit modification of the generalized APF for the functions with non-integrable branch-point singularities.

机译：Abel-Plana公式（APF）是用于计算卡西米尔型问题的一种广泛使用的工具。在本文中，我们针对具有不可积分分支点奇点的函数，对广义APF进行了特殊的显式修改。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2008年第1期|共3页
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Fialkovsky I;
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正文语种 eng
中图分类物理学;
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1. Modification of the Abel-Plana formula for functions with non-integrable branch-points [J] . Fialkovsky I Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2008,第1期

机译：具有不可积分分支点的函数的Abel-Plana公式的修改
2. Renal function in older hospital patients is more accurately estimated using the Cockcroft-Gault formula than the modification diet in renal disease formula. [J] . Pequignot R, Belmin J, Chauvelier S Journal of the American Geriatrics Society . 2009,第9期

机译：使用Cockcroft-Gault公式比使用肾脏疾病公式中的改良饮食可以更准确地估计老年患者的肾功能。
3. Is modification of diet in renal disease formula similar to cockcroft-gault formula to assess renal function in elderly hospitalized patients treated with low-molecular-weight heparin? [J] . Gouin-Thibault I, Pautas E, Mahe I, The journals of gerontology.Series A. Biological sciences and medical sciences . 2007,第11期

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4. Multifractal Tubes: Multifractal Zeta-Functions, Multifractal Steiner Formulas and Explicit Formulas [C] . Lars Olsen AMS Special Session on Fractal Geometry in Pure and Applied Mathematics in Memory of Benoit Mandelbrot;AMS Special Session on Geometry and Analysis on Fractal Spaces . 2013

机译：多乳液管：多重术Zeta函数，多乳液静脉配方和显式公式
5. Averages and Nonvanishing of Central Values of Triple Product L-Functions Via the Relative Trace Formula [D] . Guan, Bin. 2020

机译：通过相对跟踪公式的三重产品L函数的中央值的平均值和非探测
6. Functional Impact of Dendritic Branch-Point Morphology [O] . Michele Ferrante, Michele Migliore, Giorgio A. Ascoli 2013

机译：树突状分支点形态的功能影响
7. Modification of Abel-Plana formula for functions with non-integrable branch-points [O] . Fialkovsky, I. V. 2009

机译：具有非可积函数的abel-plana公式的修正分支点
8. Convergence Properties of a Pies-Type Algorithm for Non-Integrable Functions. [R] . Irwin, C. L. 1977

机译：非可积函数的pies型算法的收敛性。

Modification of the Abel-Plana formula for functions with non-integrable branch-points

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