Although cumulative probabilities for the Pólya-Eggenberger distributions can be easily found in modern computing facilities, the special cases s=1 can be handled with hypergeometric tables. Applications are mentioned.
@article{urn:eudml:doc:40656, title = {A note on the Polya-Eggenberger distributions with s=1 and some applications.}, journal = {Trabajos de Estad\'\i stica e Investigaci\'on Operativa}, volume = {32}, year = {1981}, pages = {131-134}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40656} }
Guenther, William C. A note on the Polya-Eggenberger distributions with s=1 and some applications.. Trabajos de Estadística e Investigación Operativa, Tome 32 (1981) pp. 131-134. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40656/