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Everything about Horn function

In the theory of special functions in mathematics, the Horn functions are the 34 distinct convergent hypergeometric series of order two, enumerated by Horn (1931). They are listed in. B. C. Carlson revealed a problem with the Horn function classification scheme. The total 34 Horn functions can be further categorised into 14 complete hypergeometric functions and 20 confluent hypergeometric functions. The complete functions, with their domain of convergence, are: Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Horn functionA 5-minute orientation
  2. Skim a recent paper: A novel in situ transesterification of yellow horn seeds to biodiesel using a dual function switchable solventInfluential work since 2022
  3. Pick up a classic book: Sensory mechanisms of the spinal cordThe most-reprinted book on the subject
  4. Read the landmark paper: Insights Into Spinal Dorsal Horn Circuit Function and Dysfunction Using Optical ApproachesCited 50 times
  5. Go sideways: Frobenius solution to the hypergeometric equationA closely related topic
  6. Go sideways: Jacobi polynomialsA closely related topic

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