The second-order ordinary differential equation
![y^('')+1/2(1/(x-a_1)+2/(x-a_2)+2/(x-a_3))y^'+1/4[(A_0+A_1x+A_2x^2+A_3x^3)/((x-a_1)(x-a_2)^2(x-a_3)^2)]y=0](/images/equations/HeineDifferentialEquation/NumberedEquation1.svg) |
(Moon and Spencer 1961, p. 157; Zwillinger 1997, p. 166).
Heine Differential Equation
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References
Moon, P. and Spencer, D. E. Field Theory for Engineers. New York: Van Nostrand, 1961.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 123, 1997.Referenced on Wolfram|Alpha
Heine Differential EquationCite this as:
Weisstein, Eric W. "Heine Differential Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HeineDifferentialEquation.html