Digital Library of Mathematical Functions
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§3.12 Mathematical Constants

The fundamental constant

3.12.1\pi=3.14159\;26535\;89793\;23846\;\ldots
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Notes:
For more digits see OEIS Sequence A000796; see also Sloane (2003).
Permalink:
http://dlmf.nist.gov/3.12.E1
Encodings:
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can be defined analytically in numerous ways, for example,

3.12.2\pi=4\int_{0}^{1}\frac{dt}{1+t^{2}}.

Other constants that appear in the DLMF include the base e of natural logarithms

3.12.3e=2.71828\;18284\;59045\;23536\;\ldots\,,
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Notes:
For more digits see OEIS Sequence A001113; see also Sloane (2003).
Symbols:
e: base of exponential function
Permalink:
http://dlmf.nist.gov/3.12.E3
Encodings:
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see §4.2(ii), and Euler’s constant \EulerConstant

3.12.4\EulerConstant=0.57721\;56649\;01532\;86060\;\ldots,
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Notes:
For more digits see OEIS Sequence A001620; see also Sloane (2003).
Symbols:
\EulerConstant: Euler’s constant
Permalink:
http://dlmf.nist.gov/3.12.E4
Encodings:
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see §5.2(ii).

For access to online high-precision numerical values of mathematical constants see Sloane (2003). For historical and other information see Finch (2003).

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