This presentation tells about use recurrence relation in finding the solution of ordinary differential equations, with special emphasis on Bessel's and Legendre's Function.
2. WHAT IS RECURRENCE RELATION?
The concept of recurrence relations deals with recursive definitions
of mathematical functions or sequences. Solving a recurrence
relation involves, in finding "closed formβ solution of the function.
Recurrence relations are a fundamental mathematical tool since
they can be used to represent mathematical functions/sequences
that cannot be easily represented non-recursively. An example, is
the Fibonacci sequence. Recurrence relations are largely employed
in the design and analysis of algorithms.