Wikipedia:WikiProject Mathematics/PlanetMath Exchange/33-XX Special functions
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This page provides a list of all articles available at PlanetMath in the following topic:
- 33-XX Special functions.
This list will be periodically updated. Each entry in the list has three fields:
- PM : The first field is the link to the PlanetMath article, along with the article's object ID.
- WP : The second field is either a "guessed" link to a correspondingly named Wikipedia article, produced by the script which generated the list, or one or more manually entered links to the corresponding Wikipedia articles on the subject.
- Status : The third field is the status field, which explains the current status of the entry. The recommended status entries are:
Status | means PM article |
N | not needed |
A | adequately covered |
C | copied |
M | merged |
NC | needs copying |
NM | needs merging |
- Please update the WP and Status fields as appropriate.
- if the WP field is correct please remove the qualifier "guess".
- If the corresponding Wikipedia article exists, but the link to it is wrong, please fix the link.
- If you copy or merge an article from PlanetMath, please update the WP and Status fields for that entry.
- If you have any comments, for example, thoughts on how the PlanetMath article compares to the corresponding Wikipedia article(s), please place such comments on a new indented line following the entry. Comments of this kind are very valuable.
Don't forget to include the relevant template if you copy over text or feel like an external link is warranted
- {{planetmath|id=|title=}} for copied over text
- {{planetmath reference|id=|title=}} for an external link
See the main page for examples and usage criteria.
One can use the web-based program Pmform to convert PlanetMath articles to the Wikipedia format. As a side benefit, this tool will place the PlanetMath template for you.
33-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
- PM: index of special functions, id=6269 -- WP: list of mathematical functions -- Status:
33B10 Exponential and trigonometric functions
- PM: natural logarithm, id=2666 -- WP: natural logarithm -- Status: WP article more complete
- linas 15:54, 13 Mar 2005 (UTC)
33B15 Gamma, beta and polygamma functions
- PM: Bohr-Mollerup theorem, id=3730 -- WP guess: Bohr-Mollerup theorem -- Status:
- PM: evaluation of beta function using Laplace transform, id=6206 -- WP guess: evaluation of beta function using Laplace transform -- Status:
- PM: gamma function, id=955 -- Duplicate entry.
- PM: multiplication formula for gamma function, id=6368 -- Duplicate entry.
- PM: proof of Bohr-Mollerup theorem, id=6576 -- WP guess: proof of Bohr-Mollerup theorem -- Status:
- PM: proof of Bohr-Mollerup theorem, id=3808 -- WP guess: proof of Bohr-Mollerup theorem -- Status:
- PM: proof of multiplication formula for gamma function, id=6369 -- Duplicate entry.
33B20 Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals)
- PM: error function, id=6429 -- WP: error function -- Status: WP article more complete
- linas 16:04, 13 Mar 2005 (UTC)
33B30 Higher logarithm functions
- PM: Lambert W function, id=2957 -- WP: Lambert W function -- Status: WP article more complete
33B99 Miscellaneous
- PM: natural log base, id=657 -- WP guess: natural log base -- Status:
33C05 Classical hypergeometric functions, $ 2F 1$
- PM: hypergeometric equation, id=6409 -- WP guess: hypergeometric equation -- Status:
- PM: hypergeometric function, id=5983 -- WP: hypergeometric function -- Status: WP article more complete
- linas 16:21, 13 Mar 2005 (UTC)
- PM: integral representations of the hypergeometric function, id=6150 -- WP guess: integral representations of the hypergeometric function -- Status:
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
- PM: orthogonal, id=1284 -- Duplicate entry.
33D45 Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.)
- PM: orthogonal polynomials, id=1220 -- WP guess: orthogonal polynomials -- Status:
33E05 Elliptic functions and integrals
- PM: \wp-function, id=6540 -- WP: Weierstrass elliptic function -- Status: WP article more complete
- linas 16:46, 13 Mar 2005 (UTC)
- PM: arithmetic-geometric mean, id=5893 -- Duplicate entry.
- See 26E60 Means
- PM: derivation of integral represetations of Jacobi \vartheta functions, id=6263 -- WP guess: derivation of integral represetations of Jacobi \vartheta functions -- Status:
- PM: elliptic function, id=4494 -- WP: elliptic function -- Status: WP article more complete
- linas 16:43, 13 Mar 2005 (UTC)
- PM: elliptic integrals and Jacobi elliptic functions, id=4746 -- WP: elliptic integral and Jacobian elliptic functions -- Status:WP article more complete
- linas 17:13, 13 Mar 2005 (UTC)
- PM: examples of elliptic functions, id=4649 -- WP: examples of elliptic functions -- Status: Not needed on WP
- linas 17:02, 13 Mar 2005 (UTC)
- PM: integral represetations of Jacobi \vartheta functions, id=6262 -- WP guess: integral represetations of Jacobi \vartheta functions -- Status:
- PM: Jacobi \vartheta functions, id=5550 -- WP guess: Jacobi \vartheta functions -- Status:
- PM: Jacobi's identity for \vartheta functions, id=6427 -- WP guess: Jacobi's identity for \vartheta functions -- Status:
- PM: modular discriminant, id=4651 -- WP: modular discriminant -- Status: WP article adequate
- PM: product representations of Jacobi \vartheta functions, id=6546 -- WP guess: product representations of Jacobi \vartheta functions -- Status:
- PM: proof of Jacobi's identity for \vartheta functions, id=6434 -- WP guess: proof of Jacobi's identity for \vartheta functions -- Status:
- PM: Weierstrass sigma function, id=4650 -- WP: Weierstrass sigma function -- Status: Needs to be copied
- linas 17:05, 13 Mar 2005 (UTC)
33E12 Mittag-Leffler functions and generalizations
- PM: Mittag-Leffler function, id=6594 -- WP: Mittag-Leffler function -- Status: Needs to be copied
- linas 16:26, 13 Mar 2005 (UTC)
33F99 Miscellaneous
- PM: symbolic computation, id=1139 -- Duplicate entry.