Abstract
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 the solutions of several non-homogeneous k-hypergeometric differential equations.
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference42 articles.
1. Institutionum Calculi Integralis;Euler,1769
2. Theory of Ordinary Differential Equations;Coddington,1955
3. Ordinary Differential Equations and Dynamical Systems;Teschl,2012
4. Solution of the general Riccati equation with the aid of continued fractions
5. Solution of the riccati equation by continued fractions
Cited by
10 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献