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If the functions r, c, w in (1) are constants equal to r, c, w ∈ R, a slight modification of the previous considerations shows that for α = β we have λ 1 ( b, α ) = c w − ( p − 1 ) r 1 − q w | cot p α | p. (actually, this least eigenvalue does not depend on the endpoints a, b).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com