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2.11.E2

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Formula:996
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MaRDI QIDQ996

  • Label: 2.11.E2


Digital Library of Mathematical Functions ID 2.11.E2

I ⁢ ( m ) ∼ ( - 1 ) m ⁢ ∑ s = 1 ∞ q s ⁢ ( π ) m 2 ⁢ s , asymptotic-expansion 𝐼 𝑚 superscript 1 𝑚 superscript subscript 𝑠 1 subscript 𝑞 𝑠 𝜋 superscript 𝑚 2 𝑠 {\displaystyle{\displaystyle I(m)\sim(-1)^{m}\sum_{s=1}^{\infty}\frac{q_{s}(% \pi)}{m^{2s}},}}


Constraint(s)

m → ∞ → 𝑚 {\displaystyle{\displaystyle m\to\infty}}

Symbols List

  • ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}} :
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • I ⁢ ( m ) 𝐼 𝑚 {\displaystyle{\displaystyle I(m)}} : integral
  • q s ⁢ ( t ) subscript 𝑞 𝑠 𝑡 {\displaystyle{\displaystyle q_{s}(t)}} : coefficients
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