Item type |
学術雑誌論文 / Journal Article(1) |
公開日 |
2018-08-08 |
タイトル |
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タイトル |
An analytic relation between the fractional parameter in the Mittag–Leffler function and the chemical potential in the Bose–Einstein distribution through the analysis of the NASA COBE monopole data |
言語 |
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言語 |
eng |
DOI |
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関連識別子 |
https://doi.org/10.1088/1742-6596/936/1/012082 |
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関連名称 |
10.1088/1742-6596/936/1/012082 |
資源タイプ |
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資源 |
http://purl.org/coar/resource_type/c_6501 |
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タイプ |
journal article |
著者 |
Biyajima, Minoru
Mizoguchi, Takuya
Suzuki, Naomichi
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信州大学研究者総覧へのリンク |
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氏名 |
Biyajima, Minoru |
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URL |
http://soar-rd.shinshu-u.ac.jp/profile/ja.ZaDNOeyC.html |
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出版者 |
IOP Publishing Ltd |
引用 |
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内容記述 |
Journal of Physics: Conference Series. 936(1):12082(2018) |
書誌情報 |
Journal of Physics: Conference Series
巻 936,
号 1,
p. 12082,
発行日 2018-02-19
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抄録 |
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内容記述 |
To extend the Bose-Einstein (BE) distribution to fractional order, we turn our attention to the differential equation, df/dx = −f − f 2. It is satisfied with the stationary solution, f(x) = 1/(e x + μ − 1), of the Kompaneets equation, where μ is the constant chemical potential. Setting R = 1/f, we obtain a linear differential equation for R. Then, the Caputo fractional derivative of order p (p > 0) is introduced in place of the derivative of x, and fractional BE distribution is obtained, where function e x is replaced by the Mittag–Leffler (ML) function Ep(x p ). Using the integral representation of the ML function, we obtain a new formula. Based on the analysis of the NASA COBE monopole data, an identity p sime e −μ is found. |
資源タイプ(コンテンツの種類) |
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内容記述 |
Article |
ISSN |
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収録物識別子タイプ |
ISSN |
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収録物識別子 |
1742-6588 |
権利 |
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権利情報 |
Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Published under licence by IOP Publishing Ltd |
出版タイプ |
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出版タイプ |
AM |
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出版タイプResource |
http://purl.org/coar/version/c_ab4af688f83e57aa |