Pade approaches

Keywords: Pade approximation, Indial Equation, Ordinary and Singular Point, Taylor expansion coefficients. The Pade approximation is expressed as the ratio of two polynomials to each other as in In this study, some Pade applications in different polynomial types were investigated. The coefficients of the polynomial in the numerator and denominator are a fraction approach determined by using the Taylor expansion coefficients in the form of . The Pade approach can often continue to work where the Taylor series does not converge. Taylor series is not convergent for the value of the polynomial when confined. For this purpose, applications on Lagrange function were made according to the degree of polynomial in the approach and Pade creation of different polynomial functions were examined. The force expansion of the series approached according to the order of the differential equation given by Pade approach can be limited and convergent. This situation is more commonly used when finding series expansion in ordinary and singular points. Whether the point is a name or a regular singular point is examined. Pade general solutions of differential equations are examined according to the different root or folded root of the and roots obtained from the indices equation.