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Series representations for some mathematical constants |
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| Authors: | Horst Alzer |
| Affiliation: | a Morsbacher Strasse 10, D-51545 Waldbröl, Germany b Section of Mathematics, Technological Education Institute of Crete, GR-71004 Heraklion, Crete, Greece c Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3P4, Canada |
| Abstract: | The authors apply a classical series identity involving the psi (or digamma) function with a view to deriving series representations for a number of known mathematical constants. Several closely-related consequences and results are also considered. |
| Keywords: | Series representations psi (or digamma) function Fractional calculus Hurwitz (or generalized) zeta function Special functions Summation of series Gauss hypergeometric function Polygamma function Normalized binomial mid-coefficients Harmonic numbers π π2 π3 π4 log2 log3 Catalan's constant Apé ry's constant |
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