## On the asymptotic representation of the solutions of linear ordinary differential equations of the third order relative to a large parameter |

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A-plane algebraio equation Amerioan Mathematical approximating equation Arts and Soienoes ASYMPTOTIC REPRESENTATION Asymptotio Solutions auxiliary polynomials Birkhoff applied Birkhoff's method Boundary Value bounded from zero coefficients determinant Developpement des Fono Differential Equations Containing discussion following 4.3 eaoh elements equation 2.3 equation Whioh Expansion Problems faotor funotions given veotor Henoe inequality integral equations 5.1 LARGE PARAMETER leading term least upper bound left-hand member linear combination Linear Differential Equations LINEAR ORDINARY DIFFERENTIAL linearly independent Liouville matrix non-singular oan be removed oase ohapter olosed ooeffioients oofaotor ORDINARY DIFFERENTIAL EQUATIONS Ordinary Linear Differential oube root particular solutions Parties de Fonotions positive oonstant power series R. E. Langer respeot right-hand members Rodney Taber Hood roots of unity Seoond Order seoond Ordre Contenant Sinoe solution of 2.3 solved subsoript suoh Termes sont Assujettis THIRD ORDER RELATIVE tions ou Parties undetermined University of Wisconsin Value and Expansion whioh satisfy 5.12 Wronskian