1729 SANGAM

  Gamma function The gamma function denoted by  G( z )  is defined as  Although the integral is improper , it has been show that it converges uniformly for all values of z for which  G( z )  the function through this domain. From the above, we can get If n is an integer , we have

Consider the differential equation  Here, the boundary is defined as  The conditions are specified at extremes. Solution : From the boundary condition  Hence, From the boundary condition Imposing boundary conditions , we determine a unique solution  PDF COPY

  sol: Fourier integral representation of                                substitute (2) in (1)           and Is the integral representation of f ( x ) verifying directly,                         NOTE : verifying indirectly ,                                              PDF COPY