On Certain Recurrence Relations II

Abstract The aim of this paper is to obtain five interesting and new recurrence relations for KAMPÉ‐DE‐FÉRIET function. On account of the general nature of this function, recurrence relations for generalized hypergeometric function follow as special cases of the main results. Corresponding recurrence relations for 2F2 have also been recorded. These recurrence relations are quite interesting and have not been recorded so far. Later on we obtain interesting and new recurrence relations involving 1F2 from the earlier mentioned relations for 2F2 with the help of confluence principle. Finally by specializing the parameters we obtain various interesting recurrence relations for BESSEL function and hypergeometric function 1F2. Some of the recurrence relations recorded in this paper may find application in Physics and Applied Mathematics. The special cases of our results yield known recurrence formulae for various special functions.