Four-term recurrence relations for hypergeometric functions of the second order are deduced from generating functions involving elementary functions. Generalisations are indicated and an example is given of a five-term recurrence for the confluent hypergeometric function.
@article{urn:eudml:doc:40173, title = {Four-term recurrence relations for hypergeometric functions of the second order. I.}, journal = {Collectanea Mathematica}, volume = {47}, year = {1996}, pages = {55-62}, zbl = {0865.33005}, mrnumber = {MR1387662}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40173} }
Exton, Harold. Four-term recurrence relations for hypergeometric functions of the second order. I.. Collectanea Mathematica, Tome 47 (1996) pp. 55-62. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40173/