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Formula:873

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Digital Library of Mathematical Functions ID 2.7.E12

a s , 1 ∼ Λ 1 ( λ 1 - λ 2 ) s ⁢ ∑ j = 0 ∞ a j , 2 ⁢ ( λ 1 - λ 2 ) j ⁢ Γ ⁡ ( s + μ 2 - μ 1 - j ) , asymptotic-expansion subscript 𝑎 𝑠 1 subscript Λ 1 superscript subscript 𝜆 1 subscript 𝜆 2 𝑠 superscript subscript 𝑗 0 subscript 𝑎 𝑗 2 superscript subscript 𝜆 1 subscript 𝜆 2 𝑗 Euler-Gamma 𝑠 subscript 𝜇 2 subscript 𝜇 1 𝑗 {\displaystyle{\displaystyle a_{s,1}\sim\frac{\Lambda_{1}}{(\lambda_{1}-% \lambda_{2})^{s}}\*\sum_{j=0}^{\infty}{a_{j,2}(\lambda_{1}-\lambda_{2})^{j}% \Gamma\left(s+\mu_{2}-\mu_{1}-j\right)},}}


Constraint(s)

Symbols List

  • Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}} : gamma function
  • ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}} :
  • a s , j subscript 𝑎 𝑠 𝑗 {\displaystyle{\displaystyle a_{s,j}}} : coefficients
  • λ j subscript 𝜆 𝑗 {\displaystyle{\displaystyle\lambda_{j}}} : roots
  • μ j subscript 𝜇 𝑗 {\displaystyle{\displaystyle\mu_{j}}} : quantities
  • Λ j subscript Λ 𝑗 {\displaystyle{\displaystyle\Lambda_{j}}} : constants
  •  Edit this on Wikidata

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