Last Updated:2025/12/06
Sentence
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。
Quizzes for review
In complex analysis, the Mittag-Leffler function often appears when solving fractional differential equations and serves as a natural generalization of the exponential function.
See correct answer
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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Related words
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。
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