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Estimations of psi function and harmonic numbers

Applied Mathematics and Computation, 2015
The asymptotic expansion of digamma function is a starting point for the derivation of approximants for harmonic sums or Euler-Mascheroni constant. It is usual to derive such approximations as values of logarithmic function, which leads to the expansion of the exponentials of digamma function.
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Continued fraction estimates for the psi function

Applied Mathematics and Computation, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Psi Function

Mathematics Magazine, 1978
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The Greek functions: gamma, psi, and zeta

2017
Previous chapters of this book cover the elementary functions that are taught in secondary-school mathematics, and included in many programming languages. The gamma, psi, and Riemann zeta functions that we treat in this chapter are among the most important of the class known in mathematics and physics as special functions.
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Some completely monotonic functions related to the psi function

2010
Complete monotonicity properties of some functions involving the psi function are studied and some known results are extended and generalized. Moreover, a necessary and suficient conditions for some functions to be completely monotonic are presented and proved.
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