Series solution of second order ordinary differential equations
This file is of Engineering Mathematics-2.The contents in this are Legendre's equation, Legendre polynomials of first and second kinds, Rodrigue's formula of Legendre polynomial, Recurrence relations of Legendre polynomial, Generating functions of Legendre polynomial, Bessel's equation, Bessel function, Recurrence relations of Bessel polynomial, Generating function of Bessel polynomial. This file will be easily understood.
Complex Variable Differentiation
This file is of Complex Variable Differentiation. The contents in this file are continuous function, Derivative of a function, Analytic function, Cauchy-Riemann equations, Laplace equation, Harmonic function, Harmonic conjugate of function, Bilinear transformations, fixed points, cross ratio, confirmal mapping. You can understand this file easily.
Series and sequences (mathematics)
This document contains series and sequences problems and it very useful for solving verbal reasoning like series completion,etc Some test are included in the pdf file are: 1.comparison tests. 2.limit comparison test. 3.test the series for convergence. 4.geometric series. 5.cauchy's test. 6.raabe's test. 7.leibnitz test. And many more other useful problems are included in this pdf file.