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Formula:9012

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Digital Library of Mathematical Functions ID 28.14.E6

c 2 ⁢ m ν ⁢ ( q ) c 2 ⁢ m ∓ 2 ν ⁢ ( q ) = - q 4 ⁢ m 2 ⁢ ( 1 + O ⁡ ( 1 m ) ) , subscript superscript 𝑐 𝜈 2 𝑚 𝑞 subscript superscript 𝑐 𝜈 minus-or-plus 2 𝑚 2 𝑞 𝑞 4 superscript 𝑚 2 1 Big-O 1 𝑚 {\displaystyle{\displaystyle\frac{c^{\nu}_{2m}(q)}{c^{\nu}_{2m\mp 2}(q)}=\frac% {-q}{4m^{2}}\left(1+O\left(\frac{1}{m}\right)\right),}}


Constraint(s)

m → ± ∞ → 𝑚 plus-or-minus {\displaystyle{\displaystyle m\to\pm\infty}}

Symbols List

  • O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}} : order not exceeding
  • m 𝑚 {\displaystyle{\displaystyle m}} : integer
  • q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}} : parameter
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : complex parameter
  • c 2 ⁢ m ⁢ ( q ) subscript 𝑐 2 𝑚 𝑞 {\displaystyle{\displaystyle c_{2m}(q)}} : coefficients
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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