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Published in 2017 at "Journal of Mathematical Analysis and Applications"
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…
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Keywords:
psi polygamma;
difference psi;
divided difference;
properties divided ... See more keywords
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Published in 2023 at "Applicable Analysis and Discrete Mathematics"
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 ?…
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Keywords:
monotonicity involving;
complete monotonicity;
divided difference;
polygamma functions ... See more keywords
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Published in 2017 at "Filomat"
DOI: 10.2298/fil1705475s
Abstract: The $q$-digamma function $\psi_q(x)$ and the $q$-polygamma functions $\psi^{(r)}_q(x),~r\in\N$ are defined for all $x>0$ and $0
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Keywords:
digamma polygamma;
via neutrices;
generalized digamma;
polygamma functions ... See more keywords