Usually means: Generalized function, infinitely differentiable, analytic.
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We found 10 dictionaries that define the word hyperfunction:

General (6 matching dictionaries)
  1. hyperfunction: Merriam-Webster
  2. hyperfunction: Collins English Dictionary
  3. hyperfunction: Wiktionary
  4. hyperfunction: Infoplease Dictionary
  5. hyperfunction: Dictionary.com
  6. Hyperfunction: Wikipedia, the Free Encyclopedia

Medicine (3 matching dictionaries)
  1. hyperfunction: Merriam-Webster Medical Dictionary
  2. Dorland's Illustrated Medical Dictionary (No longer online)
  3. hyperfunction: Medical dictionary

Science (1 matching dictionary)
  1. Hyperfunction: Eric Weisstein's World of Mathematics

Definitions from Wiktionary (hyperfunction)

noun:  (mathematics, countable) A generalization of a function.
noun:  (medicine) Abnormally elevated function.

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