k-Hypergeometric Series Solutions to One Type of Non-Homogeneous k-Hypergeometric Equations
k-Hypergeometric Series Solutions to One Type of Non-Homogeneous k-Hypergeometric Equations
In this paper, we expound on the hypergeometric series solutions for the second-order non-homogeneous k-hypergeometric differential equation with the polynomial term. The general solutions of this equation are obtained in the form of k-hypergeometric series based on the Frobenius method. Lastly, we employ the result of the theorem to find …