Mittag-Leffler function

proper noun

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

“The Mittag-Leffler function can be used to interpolate continuously between a Gaussian and a Lorentzian function.”

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Meanings

proper nounthe Mittag-Leffler function
  1. complex analysisA complex function defined as E_α,β(z)=∑ₖ₌₀ ᪲(zᵏ)/(Γ(αk+β)), where Γ(x) is the gamma function.

    The Mittag-Leffler function can be used to interpolate continuously between a Gaussian and a Lorentzian function.

Origin

Named after Gösta Mittag-Leffler.

Full word history & related roots →
Cite this entry
APA

Mittag-Leffler function. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/Mittag-Leffler%20function

MLA

“Mittag-Leffler function.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Mittag-Leffler%20function. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “Mittag-Leffler function,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/Mittag-Leffler%20function.

Source: Mittag-Leffler function on Wiktionary, CC BY-SA 4.0.