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On Certain Recurrence Relations II

✍ Scribed by Mrs. Aruna Srivastava; K. C. Gupta

Publisher
John Wiley and Sons
Year
1971
Tongue
English
Weight
275 KB
Volume
49
Category
Article
ISSN
0025-584X

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✦ Synopsis

The aim of this paper is to obtain five interesting and new recurrence relations for KAMP~-DE-F~RIET function. On account of the general nature of this function, recurrence relations for generalized hypergeometric function follow as special cases of the main results.

Correclponding recurrence relations for 2F2 have also been reoorded. Thesc recurrence relations are quite interesting and have not been recorded so far. Later on we obtain interesting and new recurrence relations involving F2 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 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.

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