Last Updated :2025/12/06

Mittag-Leffler function

Proper noun
Japanese Meaning
Mittag-Leffler 関数は、複素解析で用いられる関数であり、E₍α,β₎(z) = Σₖ₌₀∞ (zᵏ)/(Γ(αk+β))という級数展開を持ちます。ここで、Γ(x) はガンマ関数を表します。
What is this buttons?

複素解析では、関数 E_{α,β}(z)=∑_{k=0}^∞ z^k/Γ(αk+β)(ミッタク=レフラー関数)は、分数階微分方程式を解く際にしばしば現れ、指数関数の自然な一般化として用いられます。

canonical

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(complex analysis) A complex function defined as E_𝛼,𝛽(z)=∑ₖ₌₀ ᪲(zᵏ)/(𝛤(𝛼k+𝛽)), where 𝛤(x) is the gamma function.

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Mittag-Leffler function

In complex analysis, the Mittag-Leffler function often appears when solving fractional differential equations and serves as a natural generalization of the exponential function.

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In complex analysis, the Mittag-Leffler function often appears when solving fractional differential equations and serves as a natural generalization of the exponential function.

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