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Formula:8908

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Digital Library of Mathematical Functions ID 28.4.E21

A 2 ⁢ s 0 ⁢ ( q ) = ( ( - 1 ) s ⁢ 2 ( s ! ) 2 ⁢ ( q 4 ) s + O ⁡ ( q s + 2 ) ) ⁢ A 0 0 ⁢ ( q ) , subscript superscript 𝐴 0 2 𝑠 𝑞 superscript 1 𝑠 2 superscript 𝑠 2 superscript 𝑞 4 𝑠 Big-O superscript 𝑞 𝑠 2 subscript superscript 𝐴 0 0 𝑞 {\displaystyle{\displaystyle A^{0}_{2s}(q)=\left(\dfrac{(-1)^{s}2}{(s!)^{2}}% \left(\frac{q}{4}\right)^{s}+O\left(q^{s+2}\right)\right)A^{0}_{0}(q),}}


Constraint(s)

Symbols List

  • O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}} : order not exceeding
  • ! {\displaystyle{\displaystyle!}} :
  • q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}} : parameter
  • A m ⁢ ( q ) subscript 𝐴 𝑚 𝑞 {\displaystyle{\displaystyle A_{m}(q)}} : Fourier coefficient
  •  Edit this on Wikidata

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