Othman Echi

Frobenius-Polynomial Second-Order Linear Differential Equations: Structure and Recognition in the Real-Indicial Case

We study equations y′′+P(x)y′+Q(x)y=0, with P,Q∈C(x), that admit two linearly independent local solutions y1=xrA(x) and y2=xsB(x) at the regular singular point 0, where A and B are polynomials and A(0)B(0)≠0. We call these Frobenius-polynomial type (FP) equations and focus on the...