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gptkb:confluent_hypergeometric_differential_equation
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x y'' + (b - x) y' - a y = 0
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gptkb:Painlevé_V_equation
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y'' = (1/2y + 1/(y-1)) (y')^2 - y'/x + (a y^2 + b)/x^2 + c y/x + d y(y+1)/(y-1)
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gptkb:Laguerre_polynomial
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L_n(x) = e^x (d^n/dx^n)(e^{-x} x^n)
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gptkb:ordinary_Dirichlet_series
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∑ a_n n^{-s}
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gptkb:Painlevé_III_equation
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d^2y/dx^2 = (1/y)(dy/dx)^2 - (1/x)dy/dx + (a y^2 + b)/x + c y^3 + d/y
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gptkb:Taylor_series
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f(x) = Σ (f⁽ⁿ⁾(a)/n!) (x-a)ⁿ
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gptkb:lion
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∑ a_n n^{-s}
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gptkb:Painlevé_IV_equation
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y'' = (1/2y)(y')^2 + (3/2)y^3 + 4xy^2 + 2(x^2 - a)y + b/y
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gptkb:confluent_hypergeometric_equation
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z d^2w/dz^2 + (b - z) dw/dz - a w = 0
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gptkb:Divisor_function_Dirichlet_series
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\\sum_{n=1}^\\infty d(n) n^{-s}
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gptkb:Gegenbauer_differential_equation
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(1-x^2)y'' - (2b1+1)xy' + n(n+2b1)y = 0
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