The Gauss and Pfaff---Saalschutz theorems on classical hypergeometric series are employed to extend the summation formulae on Catalan numbers due to Jonah, Koshy and Touchard. Their q-analogs are also investigated by means of basic hypergeometric series.
['Roberta R. Zhou', 'Wenchang Chu']
Identities on Extended Catalan Numbers and Their q-Analogs