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Everything about Half-exponential function

Functional square root of an exponential

In mathematics, a half-exponential function is a functional square root of an exponential function. That is, a function such that composed with itself results in an exponential function: for some constants and. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Half-exponential functionA 5-minute orientation
  2. Skim a recent paper: An Explicit Factorization of the Green's Function for an Acoustic Half‐Space Problem with Impedance Boundary Conditions into an Oscillatory Exponential and a Slowly Varying FunctionInfluential work since 2022
  3. Pick up a classic book: Signals and SystemsThe most-reprinted book on the subject
  4. Read the landmark paper: Exponential dichotomy of evolution equations and admissibility of function spaces on a half-lineCited 96 times
  5. Go sideways: Functional square rootA closely related topic
  6. Go sideways: Hellmuth KneserA closely related topic

📖 Definitions

No dictionary entry for this exact phrase.

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

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