WeierstrassEta3

WeierstrassEta3[{g2,g3}]

gives the value η3 of the Weierstrass zeta function ζ at the half-period TemplateBox[{{g, _, 2}, {g, _, 3}}, WeierstrassHalfPeriodW3].

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • WeierstrassEta3 can be evaluated to arbitrary numerical precision.

Examples

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Basic Examples  (3)

Represent the value of WeierstrassZeta at the half-period ω3:

Evaluate numerically:

Plot the real and imaginary parts of η3:

Scope  (4)

Evaluate for complex arguments:

Evaluate to arbitrary numerical precision:

Precision of the output tracks the precision of the input:

TraditionalForm formatting:

Wolfram Research (2017), WeierstrassEta3, Wolfram Language function, https://reference.wolfram.com/language/ref/WeierstrassEta3.html.

Text

Wolfram Research (2017), WeierstrassEta3, Wolfram Language function, https://reference.wolfram.com/language/ref/WeierstrassEta3.html.

BibTeX

@misc{reference.wolfram_2021_weierstrasseta3, author="Wolfram Research", title="{WeierstrassEta3}", year="2017", howpublished="\url{https://reference.wolfram.com/language/ref/WeierstrassEta3.html}", note=[Accessed: 20-September-2021 ]}

BibLaTeX

@online{reference.wolfram_2021_weierstrasseta3, organization={Wolfram Research}, title={WeierstrassEta3}, year={2017}, url={https://reference.wolfram.com/language/ref/WeierstrassEta3.html}, note=[Accessed: 20-September-2021 ]}

CMS

Wolfram Language. 2017. "WeierstrassEta3." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/WeierstrassEta3.html.

APA

Wolfram Language. (2017). WeierstrassEta3. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/WeierstrassEta3.html