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Very accurate estimates of the polygamma functions

Article type: Research Article

Authors: Mortici, Cristinel

Affiliations: Valahia University of Târgovişte, Department of Mathematics, Bd. Unirii 18, 130082 Târgovişte, Romania. E-mail: [email protected]

Abstract: The aim of this paper is to give some refinements of an estimation for the polygamma functions, stated in J. Math. Anal. Approx. Theory 1(2) (2006), 124–134. Finally, a general method to establish increasingly accurate estimations is given.

Keywords: gamma function, polygamma functions, completely monotonicity, Bernoulli numbers

DOI: 10.3233/ASY-2010-0983

Journal: Asymptotic Analysis, vol. 68, no. 3, pp. 125-134, 2010

Published: 2010
Price: EUR 27.50
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