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Everything about Reflection formula

Numerical computation of special functions

In mathematics, a reflection formula or reflection relation for a function f is a relationship between f(a − x) and f(x). It is a special case of a functional equation. It is common in mathematical literature to use the term "functional equation" for what are specifically reflection formulae. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Reflection formulaA 5-minute orientation
  2. Skim a recent paper: Determining 3D structure from molecular formula and isotopologue rotational spectra in natural abundance with reflection-equivariant diffusionInfluential work since 2022
  3. Pick up a classic book: The Devil's DictionaryThe most-reprinted book on the subject
  4. Read the landmark paper: A simple formula for diffusion calculations involving wall reflection and low densityCited 354 times
  5. Go sideways: DilogarithmA closely related topic
  6. Go sideways: PolylogarithmA closely related topic

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🗂️ The subject at a glance

  1. Known formulae

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

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