Transformation and Summation Formulas for Kampe´ de F´eriet Series F10::13 1, 1.

The double hypergeometric Kamp´e de F´eriet series F10::13 1, 1.depends upon 9 complex parameters. We present three cases with 2 relations between those 9 parameters, and show that under these circumstances F10::13 1, 1.can be written as a 4F3 1. series. Some limiting cases of these transformation formulas give rise to new summation results for special F10::13 1, 1.’s. The actual transformation results arose out of the study of 9-j coefficients.