International Journal of Mathematical Research 2311-7427 2306-2223 10.18488/journal.24/2015.4.2/24.2.53.63 International Journal of Mathematical Research Contiguous Function Relations and an Integral Representation for Appell k-Series F_(1,k) International Journal of Mathematical Research International Journal of Mathematical Research 04-2015 2015 04-2015 04-2015 4 2 53 63 30 Nov 30 Nov The main objective of this paper is to derive contiguous function relations or recurrence relations and obtain an integral representation Appell k-series F_(1,k), where k>0.