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Elliptic rational functions

In mathematics the elliptic rational functions are a sequence of rational functions with real coefficients. Elliptic rational functions are extensively used in the design of elliptic electronic filters. (These functions are sometimes called Chebyshev rational functions, not to be confused with certain other functions of the same name).

Expression as a ratio of polynomials, Properties & Overview

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Expression as a ratio of polynomials

Normalizing constant
1 related topics

Properties

Lutovac, Tošić & Evans 2001
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Overview

MathematicsRational functionsElliptic electronic filtersSame nameElliptic function
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Expression as a ratio of polynomials

Properties

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Elliptic rational functions

Nodes15
Edges14
Triples8
Avg. degree1.87
Density0.133333
Components1

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Elliptic rational functions

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related to Particular values · 4
Elliptic rational functions → Evans, See Lutovac, Tošić, We
related to Expression as a ratio of polynomials · 2
Elliptic rational functions → For, The
related to Limiting values · 2
Elliptic rational functions → Chebyshev, The

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elliptic rational functions displaystyle zeroes order xi inversion relationship poles function expressed chebyshev factor polynomials may using jacobi nesting property

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SubjectPredicateObjectConfidenceSrc
Elliptic rational functionsrelated to Expression as a ratio of polynomialsFor0.60section
Elliptic rational functionsrelated to Expression as a ratio of polynomialsThe0.60section
Elliptic rational functionsrelated to Limiting valuesThe0.60section
Elliptic rational functionsrelated to Limiting valuesChebyshev0.60section
Elliptic rational functionsrelated to Particular valuesWe0.60section
Elliptic rational functionsrelated to Particular valuesSee Lutovac0.60section
Elliptic rational functionsrelated to Particular valuesTošić0.60section
Elliptic rational functionsrelated to Particular valuesEvans0.60section

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