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Formula:397

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Digital Library of Mathematical Functions ID 1.12.E4

C n = b 0 + a 1 b 1 + a 2 b 2 + β‹― a n b n = A n B n . subscript 𝐢 𝑛 subscript 𝑏 0 continued-fraction subscript π‘Ž 1 subscript 𝑏 1 continued-fraction subscript π‘Ž 2 subscript 𝑏 2 β‹― continued-fraction subscript π‘Ž 𝑛 subscript 𝑏 𝑛 subscript 𝐴 𝑛 subscript 𝐡 𝑛 {\displaystyle{\displaystyle C_{n}=b_{0}+\cfrac{a_{1}}{b_{1}+\cfrac{a_{2}}{b_{% 2}+\cdots\cfrac{a_{n}}{b_{n}}}}=\frac{A_{n}}{B_{n}}.}}


Constraint(s)

Symbols List

  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • A n subscript 𝐴 𝑛 {\displaystyle{\displaystyle A_{n}}} : n th numerator
  • B n subscript 𝐡 𝑛 {\displaystyle{\displaystyle B_{n}}} : n th denominator
  • C n ⁒ ( w ) subscript 𝐢 𝑛 𝑀 {\displaystyle{\displaystyle C_{n}(w)}} : continued fraction
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This page was last edited on 3 March 2024, at 02:33.
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