Incomplete hypergeometric systems associated to 1-simplex \(\times\) \((n-1)\)-simplex (Q2315285)

In this paper, the author studied an incomplete analog of several classes of \(A\)-hypergeometric functions, those for 1-simplex \(\times\) \((n-1)\)-simplex and gave the definition of an incomplete \(\Delta_1 \times \Delta_{n-1}\)-hypergeometric system. He also proved the existence of a solution of the system. Further, the author gave a particular solution of the system and described general solutions by a particular solution and a basis of the solutions of a (homogeneous) \(A\)-hypergeometric system. In addition, the author provided a complete list of contiguity relations for the incomplete \(\Delta_1 \times \Delta_{n-1}\)-hypergeometric function.