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Formula:8971

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Digital Library of Mathematical Functions ID 28.8.E11

P m ⁢ ( x ) ∼ 1 + s 2 3 ⁢ h ⁢ cos 2 ⁡ x + 1 h 2 ⁢ ( s 4 + 86 ⁢ s 2 + 105 2 11 ⁢ cos 4 ⁡ x - s 4 + 22 ⁢ s 2 + 57 2 11 ⁢ cos 2 ⁡ x ) + ⋯ , asymptotic-expansion subscript 𝑃 𝑚 𝑥 1 𝑠 superscript 2 3 ℎ 2 𝑥 1 superscript ℎ 2 superscript 𝑠 4 86 superscript 𝑠 2 105 superscript 2 11 4 𝑥 superscript 𝑠 4 22 superscript 𝑠 2 57 superscript 2 11 2 𝑥 ⋯ {\displaystyle{\displaystyle P_{m}(x)\sim 1+\dfrac{s}{2^{3}h{\cos^{2}}x}+% \dfrac{1}{h^{2}}\left(\dfrac{s^{4}+86s^{2}+105}{2^{11}{\cos^{4}}x}-\dfrac{s^{4% }+22s^{2}+57}{2^{11}{\cos^{2}}x}\right)+\cdots,}}


Constraint(s)

Symbols List

  • ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}} :
  • cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}} : cosine function
  • m 𝑚 {\displaystyle{\displaystyle m}} : integer
  • h ℎ {\displaystyle{\displaystyle h}} : parameter
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 11:30.
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