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+β[D_:2] := Piecewise[ + { + {1/8, D == 2}, + {0.326419, D == 3}, + {1/2, D == 4}, + {β, True} + } +] + +δ[D_:2] := Piecewise[ + { + {15, D == 2}, + {4.78984, D == 3}, + {3, D == 4}, + {δ, True} + } +] + +α[D_:2] := Piecewise[ + { + {0, D == 2}, + {0.11008, D == 3}, + {0, D == 4}, + {α, True} + } +] + +Δ[D_:2] := β[D] δ[D] + +f[θi_:1][n_][θ_] := (θ / θi)^2 - 1 +g[gC_:gC, θc_:θc][n_][θ_] := (1 - (θ/θc)^2) Sum[gC[i] θ^(2i+1), {i, 0, n}] + +I\[ScriptCapitalM]f[γ_][y_] := (1 + (1 + γ x) / x) Exp[-1/x] +R\[ScriptCapitalM]f[γ_][y_] := (1 - y - γ y) Exp[1/y] ExpIntegralEi[-1/y] / (π y) + +R\[ScriptCapitalM][2][γ_, B_, θc_, M0_][θ_] := - M0 (R\[ScriptCapitalM]f[γ][B(θc - θ)] - R\[ScriptCapitalM]f[γ][B(θc + θ)]) + +eqLow[D_:2][f_, g_][m_] := SeriesCoefficient[ + R\[ScriptCapitalM][D][γ, B, θc, M0][θ] + f[θ]^β[D] Gl'[g[θ] f[θ]^(-Δ[D])], + {θ, θc, m}, + Assumptions -> Join[$Assumptions, {θ < θc, θ > θi}] +] +EndPackage[] + -- cgit v1.2.3-54-g00ecf