Higher-order monotonicity conjecture for contiguous parabolic-cylinder-function ratios
Higher-order ratio monotonicity conjecture. The functions Rn[k](x)R_n^{[k]}(x)Rn[k](x) are positive and increasing in xxx, satisfy Rn[k+1](x)>Rn[k](x)R_n^{[k+1]}(x)>R_n^{[k]}(x)Rn[k+1](x)>Rn[k](x), and obey Rn[k](x)<1R_n^{[k]}(x)<1Rn[k](x)<1 when…