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Higher-order monotonicity conjecture for contiguous parabolic-cylinder-function ratios
Higher-order ratio monotonicity conjecture. The functions $R_n^{[k]}(x)$ are positive and increasing in $x$ , satisfy $R_n^{[k+1]}(x)>R_n^{[k]}(x)$ , and obey $R_n^{[k]}(x)<1$ when…
Conjectureopenmonotonicity parabolic-cylinder-functions special-functionsarXiv posted 2 days ago

Higher-order monotonicity conjecture for contiguous parabolic-cylinder-function ratios