DRMF wiki_drmfbeta https://drmf-beta.wmflabs.org/wiki/Project:About MediaWiki 1.42.0-wmf.12 case-sensitive Media Special Talk User User talk Project Project talk File File talk MediaWiki MediaWiki talk Template Template talk Help Help talk Category Category talk Item Item talk Property Property talk Source Source talk Formula Formula talk CD CD talk Definition Definition talk Module Module talk Gadget Gadget talk Gadget definition Gadget definition talk Project:About 4 6 63430 2516 2020-01-16T16:27:57Z Admin 1 63430 wikitext text/x-wiki The '''NIST Digital Repository of Mathematical Formulae''' is designed for a mathematically literate audience and should # facilitate interaction among a [[community]] of mathematicians and scientists interested in [[wikipedia:compendia|compendia]] formulae data for '''orthogonal polynomials and special functions'''; # be [[expandable]], allowing the input of new formulae from the literature; # represent the context-free full [[semantic]] information concerning individual formulas; # have a user friendly, consistent, and hyperlinkable viewpoint and authoring [[perspective]]; # contain easily [[Special:MathSearch|searchable]] mathematics; and # take advantage of modern [[MathML]] tools for easy to read, scalably rendered content driven mathematics. For more information see [http://link.springer.com/chapter/10.1007%2F978-3-319-08434-3_30 Digital Repository of Mathematical Formulae] or [http://arxiv.org/abs/1404.6519 arXiv:1404.6519]. == Sample Seeding Project Implementations == <tt>DLMF</tt>: [[Zeta and Related Functions]] <tt>KLS</tt> and <tt>KLSadd</tt>: [[Orthogonal Polynomials]] == DLMF Verification Project == [[DLMF Results]] == Useful Pages == [[GitHub|How to Upload Your Project to GitHub]] [[Wikilabs|How to get access to Wikilabs/Wikitech]] [https://github.com/DRMF/DRMF/blob/master/doc/upload_and_connect.MD Upload and Connect] == Sample formula home pages with DLMF proofs given == <div style="-moz-column-count:2; column-count:2;"> * [[Formula:DLMF:25.2:E9]] * [[Formula:DLMF:25.5:E2]] * [[Formula:DLMF:25.5:E4]] * [[Formula:DLMF:25.5:E6]] * [[Formula:DLMF:25.8:E7]] * [[Formula:DLMF:25.8:E8]] * [[Formula:DLMF:25.11:E7]] * [[Formula:DLMF:25.11:E10]] * [[Formula:DLMF:25.11:E11]] * [[Formula:DLMF:25.11:E15]] * [[Formula:DLMF:25.11:E17]] * [[Formula:DLMF:25.11:E24]] * [[Formula:DLMF:25.11:E27]] * [[Formula:DLMF:25.11:E28]] * [[Formula:DLMF:25.11:E30]] * [[Formula:DLMF:25.11:E31]] * [[Formula:DLMF:25.11:E35]] </div> = Digital Repository of Mathematical Formulae = <div style="-moz-column-count:2; column-count:2;"> # [[Algebraic and Analytic Methods]] # [[Asymptotic Approximations]] # [[Numerical Methods]] # [[Elementary Functions]] # [[Gamma Function]] # [[Exponential, Logarithmic, Sine, and Cosine Integrals]] # [[Error Functions, Dawson’s and Fresnel Integrals]] # [[Incomplete Gamma and Related Functions]] # [[Airy and Related Functions]] # [[Bessel Functions]] # [[Struve and Related Functions]] # [[Parabolic Cylinder Functions]] # [[Confluent Hypergeometric Functions]] # [[Legendre and Related Functions]] # [[Hypergeometric Function]] # [[Generalized Hypergeometric Functions and Meijer G-Function|Generalized Hypergeometric Functions and Meijer ''G''-Function]] # [[q-Hypergeometric and Related Functions|''q''-Hypergeometric and Related Functions]] # [[Orthogonal Polynomials]] # [[Elliptic Integrals]] # [[Theta Functions]] # [[Multidimensional Theta Functions]] # [[Jacobian Elliptic Functions]] # [[Weierstrass Elliptic and Modular Functions]] # [[Bernoulli and Euler Polynomials]] # [[Zeta and Related Functions]] # [[Combinatorial Analysis]] # [[Functions of Number Theory]] # [[Mathieu Functions and Hill’s Equation]] # [[Lamé Functions]] # [[Spheroidal Wave Functions]] # [[Heun Functions]] # [[Painlevé Transcendents]] # [[Coulomb Functions]] # [[3j,6j,9j Symbols|''3j,6j,9j'' Symbols]] # [[Functions of Matrix Argument]] # [[Integrals with Coalescing Saddles]] </div> == Definition Pages == <div style="-moz-column-count:2; column-count:2;-webkit-column-count:2"> * [[Definition:AffqKrawtchouk|AffqKrawtchouk]] * [[Definition:AlSalamCarlitzI|AlSalamCarlitzI]] * [[Definition:AlSalamCarlitzII|AlSalamCarlitzII]] * [[Definition:AlSalamIsmail|AlSalamIsmail]] * [[Definition:AntiDer|AntiDer]] * [[Definition:BesselPolyIIparam|BesselPolyIIparam]] * [[Definition:BesselPolyTheta|BesselPolyTheta]] * [[Definition:bigqJacobiIVparam|bigqJacobiIVparam]] * [[Definition:bigqLaguerre|bigqLaguerre]] * [[Definition:bigqLegendre|bigqLegendre]] * [[Definition:CiglerqChebyT|CiglerqChebyT]] * [[Definition:CiglerqChebyU|CiglerqChebyU]] * [[Definition:ctsbigqHermite|ctsbigqHermite]] * [[Definition:ctsdualqHahn|ctsdualqHahn]] * [[Definition:ctsqHahn|ctsqHahn]] * [[Definition:ctsqJacobi|ctsqJacobi]] * [[Definition:ctsqLaguerre|ctsqLaguerre]] * [[Definition:ctsqLegendre|ctsqLegendre]] * [[Definition:f|f]] * [[Definition:GenHermite|GenHermite]] * [[Definition:GottliebLaguerre|GottliebLaguerre]] * [[Definition:Int|Int]] * [[Definition:JacksonqBesselII|JacksonqBesselII]] * [[Definition:JacksonqBesselIII|JacksonqBesselIII]] * [[Definition:littleqLegendre|littleqLegendre]] * [[Definition:lrselection|lrselection]] * [[Definition:monicAlSalamCarlitzI|monicAlSalamCarlitzI]] * [[Definition:monicAlSalamCarlitzII|monicAlSalamCarlitzII]] * [[Definition:monicAlSalamChihara|monicAlSalamChihara]] * [[Definition:monicAskeyWilson|monicAskeyWilson]] * [[Definition:monicBesselPoly|monicBesselPoly]] * [[Definition:monicbigqJacobi|monicbigqJacobi]] * [[Definition:monicbigqLaguerre|monicbigqLaguerre]] * [[Definition:monicbigqLegendre|monicbigqLegendre]] * [[Definition:monicCharlier|monicCharlier]] * [[Definition:monicChebyT|monicChebyT]] * [[Definition:monicChebyU|monicChebyU]] * [[Definition:monicctsbigqHermite|monicctsbigqHermite]] * [[Definition:monicctsdualHahn|monicctsdualHahn]] * [[Definition:monicctsdualqHahn|monicctsdualqHahn]] * [[Definition:monicctsHahn|monicctsHahn]] * [[Definition:monicctsqHahn|monicctsqHahn]] * [[Definition:monicctsqHermite|monicctsqHermite]] * [[Definition:monicctsqJacobi|monicctsqJacobi]] * [[Definition:monicctsqLaguerre|monicctsqLaguerre]] * [[Definition:monicctsqLegendre|monicctsqLegendre]] * [[Definition:monicctsqUltra|monicctsqUltra]] * [[Definition:monicdiscrqHermiteI|monicdiscrqHermiteI]] * [[Definition:monicdiscrqHermiteII|monicdiscrqHermiteII]] * [[Definition:monicdualHahn|monicdualHahn]] * [[Definition:monicdualqHahn|monicdualqHahn]] * [[Definition:monicdualqKrawtchouk|monicdualqKrawtchouk]] * [[Definition:monicHahn|monicHahn]] * [[Definition:monicHermite|monicHermite]] * [[Definition:monicJacobi|monicJacobi]] * [[Definition:monicKrawtchouk|monicKrawtchouk]] * [[Definition:monicLaguerre|monicLaguerre]] * [[Definition:monicLegendrePoly|monicLegendrePoly]] * [[Definition:moniclittleqJacobi|moniclittleqJacobi]] * [[Definition:moniclittleqLaguerre|moniclittleqLaguerre]] * [[Definition:moniclittleqLegendre|moniclittleqLegendre]] * [[Definition:monicMeixner|monicMeixner]] * [[Definition:monicMeixnerPollaczek|monicMeixnerPollaczek]] * [[Definition:monicpseudoJacobi|monicpseudoJacobi]] * [[Definition:monicqBesselPoly|monicqBesselPoly]] * [[Definition:monicqCharlier|monicqCharlier]] * [[Definition:monicqKrawtchouk|monicqKrawtchouk]] * [[Definition:monicqLaguerre|monicqLaguerre]] * [[Definition:monicqMeixner|monicqMeixner]] * [[Definition:monicqMeixnerPollaczek|monicqMeixnerPollaczek]] * [[Definition:monicqRacah|monicqRacah]] * [[Definition:monicqtmqKrawtchouk|monicqtmqKrawtchouk]] * [[Definition:monicRacah|monicRacah]] * [[Definition:monicStieltjesWigert|monicStieltjesWigert]] * [[Definition:monicUltra|monicUltra]] * [[Definition:monicWilson|monicWilson]] * [[Definition:NeumannFactor|NeumannFactor]] * [[Definition:normctsdualHahnStilde|normctsdualHahnStilde]] * [[Definition:normctsHahnptilde|normctsHahnptilde]] * [[Definition:normJacobiR|normJacobiR]] * [[Definition:normWilsonWtilde|normWilsonWtilde]] * [[Definition:poly|poly]] * [[Definition:qBesselPoly|qBesselPoly]] * [[Definition:qCharlier|qCharlier]] * [[Definition:qDigamma|qDigamma]] * [[Definition:qHyperrWs|qHyperrWs]] * [[Definition:qExpKLS|qExpKLS]] * [[Definition:qexpKLS|qexpKLS]] * [[Definition:qcosKLS|qcosKLS]] * [[Definition:qMeixner|qMeixner]] * [[Definition:qKrawtchouk|qKrawtchouk]] * [[Definition:monicqHahn|monicqHahn]] * [[Definition:dualqHahn|dualqHahn]] * [[Definition:dualqKrawtchouk|dualqKrawtchouk]] * [[Definition:littleqLaguerre|littleqLaguerre]] * [[Definition:qsinKLS|qsinKLS]] * [[Definition:qSinKLS|qSinKLS]] * [[Definition:qCosKLS|qCosKLS]] * [[Definition:Wilson|Wilson]] * [[Definition:Racah|Racah]] * [[Definition:ctsdualHahn|ctsdualHahn]] * [[Definition:ctsHahn|ctsHahn]] * [[Definition:Hahn|Hahn]] * [[Definition:dualHahn|dualHahn]] * [[Definition:qRacah|qRacah]] * [[Definition:normctsdualqHahnptilde|normctsdualqHahnptilde]] * [[Definition:normctsqHahnptilde|normctsqHahnptilde]] * [[Definition:qHahn|qHahn]] * [[Definition:AlSalamChihara|AlSalamChihara]] * [[Definition:qinvAlSalamChihara|qinvAlSalamChihara]] * [[Definition:monicqinvAlSalamChihara|monicqinvAlSalamChihara]] * [[Definition:monicAffqKrawtchouk|monicAffqKrawtchouk]] * [[Definition:qMeixnerPollaczek|qMeixnerPollaczek]] * [[Definition:qtmqKrawtchouk|qtmqKrawtchouk]] * [[Definition:qLaguerre|qLaguerre]] * [[Definition:ctsqHermite|ctsqHermite]] * [[Definition:StieltjesWigert|StieltjesWigert]] * [[Definition:discrqHermiteI|discrqHermiteI]] * [[Definition:discrqHermiteII|discrqHermiteII]] * [[Definition:StieltjesConstants|StieltjesConstants]] </div> = Copyright = Pursuant to U.S. Code, Title 17, Chapter 1, Section 105: <blockquote> Copyright protection under this title is not available for any work of the United States Government, but the United States Government is not precluded from receiving and holding copyrights transferred to it by assignment, bequest, or otherwise. </blockquote> the National Institute of Standards and Technology (NIST), United States Department of Commerce, this website, a work of the United States Government, is in the public domain. = Disclaimer = While NIST has made every 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