Some properties of the divided difference of psi and polygamma functions
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DOI: 10.1016/j.jmaa.2017.05.081
Abstract: Abstract Let ψ n = ( − 1 ) n − 1 ψ ( n ) for n ≥ 0 , where ψ ( n ) stands for the psi and polygamma functions. For p… read more here.
Keywords: psi polygamma; difference psi; divided difference; properties divided ... See more keywords
Complete monotonicity involving the divided difference of polygamma functions
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DOI: 10.2298/aadm210630007y
Abstract: For r, s ? R and ? = min {r, s}, let D[x + r, x + s; ?n?1] ? ??n (x) be the divided difference of the functions ?n?1 = (?1)n ?(n?1) (n ?… read more here.
Keywords: monotonicity involving; complete monotonicity; divided difference; polygamma functions ... See more keywords