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On Certain Recurrence Relations II
Author(s) -
Srivastava Aruna,
Gupta K. C.
Publication year - 1971
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19710490113
Subject(s) - recurrence relation , mathematics , hypergeometric function , bessel function , function (biology) , pure mathematics , special functions , hypergeometric distribution , confluence , algebra over a field , calculus (dental) , mathematical analysis , medicine , computer science , orthodontics , evolutionary biology , biology , programming language
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 2 F 2 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 1 F 2 from the earlier mentioned relations for 2 F 2 with the help of confluence principle. Finally by specializing the parameters we obtain various interesting recurrence relations for BESSEL function and hypergeometric function 1 F 2 . 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.