Wolfram Function Repository
Instant-use add-on functions for the Wolfram Language
Function Repository Resource:
Evaluate the Nielsen function F
ResourceFunction["NielsenF"][z] gives the Nielsen function f(z). |
Evaluate numerically:
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Plot over a subset of the reals:
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Series expansion at the origin:
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Evaluate for complex arguments:
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Evaluate to high precision:
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The precision of the output tracks the precision of the input:
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NielsenF threads elementwise over lists:
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Simple exact values are generated automatically:
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Plot the logarithm of the absolute value in the complex plane:
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Express CosIntegral and SinIntegral in terms of NielsenF and NielsenG:
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NielsenF is the Laplace transform of :
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A representation of NielsenF in terms of MeijerG:
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NielsenF is automatically expanded in terms of CosIntegral and SinIntegral:
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Plugging in a large complex argument after expansion leads to inaccurate numerical results:
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Evaluate the function directly:
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