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    <meta name="description" content="Symbolic Special Functions: Fast and Certified"/>
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    <meta name="dc.date" content="(SCHEME=ISO8601) 2013-01"/>
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      <div class="TdmEntry">Overall Objectives<ul><li><a href="./uid3.html">Scientific challenges, expected impact</a></li><li><a href="./uid16.html">Research axes</a></li><li><a href="./uid28.html">Highlights of the Year</a></li></ul></div>
      <div class="TdmEntry">Research Program<ul><li><a href="uid30.html&#10;&#9;&#9;  ">Studying special functions by computer algebra</a></li><li><a href="uid46.html&#10;&#9;&#9;  ">Trusted computer-algebra calculations</a></li><li><a href="uid57.html&#10;&#9;&#9;  ">Machine-checked proofs of formalized mathematics</a></li></ul></div>
      <div class="TdmEntry">Application Domains<ul><li><a href="uid64.html&#10;&#9;&#9;  ">Experimental mathematics with special functions</a></li></ul></div>
      <div class="TdmEntry">Software and Platforms<ul><li><a href="uid66.html&#10;&#9;&#9;  ">Mgfun</a></li><li><a href="uid67.html&#10;&#9;&#9;  ">DDMF</a></li><li><a href="uid68.html&#10;&#9;&#9;  ">DynaMoW</a></li><li><a href="uid69.html&#10;&#9;&#9;  ">Ring</a></li><li><a href="uid70.html&#10;&#9;&#9;  ">SSReflect</a></li><li><a href="uid71.html&#10;&#9;&#9;  ">Coqfinitgroup</a></li></ul></div>
      <div class="TdmEntry">New Results<ul><li><a href="uid73.html&#10;&#9;&#9;  ">Creative telescoping for bivariate hyperexponential functions</a></li><li><a href="uid74.html&#10;&#9;&#9;  ">Creative telescoping for rational functions</a></li><li><a href="uid75.html&#10;&#9;&#9;  ">Complexity of the uncoupling of linear functional systems</a></li><li><a href="uid76.html&#10;&#9;&#9;  ">Computation of integrals related to the Ising model</a></li><li><a href="uid77.html&#10;&#9;&#9;  ">Non-D-finite excursions in the quarter plane</a></li><li><a href="uid78.html&#10;&#9;&#9;  ">A human proof of Gessel's lattice path conjecture</a></li><li><a href="uid79.html&#10;&#9;&#9;  ">Efficient algorithms for rational first integrals</a></li><li><a href="uid80.html&#10;&#9;&#9;  ">Reactive document checking in Coq</a></li><li><a href="uid81.html&#10;&#9;&#9;  ">Efficient normalization of ring/field
expressions in Coq</a></li><li><a href="uid82.html&#10;&#9;&#9;  ">Documentation of Coq's canonical structures</a></li><li><a href="uid83.html&#10;&#9;&#9;  ">Maintenance and development of the SSReflect
extension for Coq and its user manual</a></li><li><a href="uid84.html&#10;&#9;&#9;  ">Efficient proof-search techniques in
sequent calculus</a></li><li><a href="uid85.html&#10;&#9;&#9;  ">A formal proof of the irrationality
of <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mrow xmlns="http://www.w3.org/1998/Math/MathML"><mi>ζ</mi><mo>(</mo><mn>3</mn><mo>)</mo></mrow></m:math></a></li><li><a href="uid86.html&#10;&#9;&#9;  ">Documentation of the Mathematical
Components libraries</a></li></ul></div>
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	    Raweb 
	    2013</a> | <a href="http://www.inria.fr/en/teams/specfun">Presentation of the Team Specfun</a> | <a href="http://specfun.inria.fr/">Specfun Web Site
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        <div class="Titrepage1">2013 Team Activity Report
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          <div class="ProjetCourtpage1">Specfun</div>
          <div class="ProjetLongpage1">Symbolic Special Functions: Fast and Certified</div>
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          <span class="definition">Research centre: </span>
          <a href="http://www.inria.fr/centre/saclay">Saclay - Île-de-France</a>
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        <div class="domainepage1"><span class="definition">Field: </span><a href="&#10;&#9;      http://www.inria.fr/en/domains/Algorithmics-Programming-Software-and-Architecture">Algorithmics, Programming, Software and Architecture</a><br/><span class="definition">Theme: </span>Algorithmics, Computer Algebra and Cryptology</div>
        <div class="Keywordspage1"><span class="definition">Keywords: </span>Computational Complexity, Computer Algebra, Experimental Mathematics, Formalization Of Mathematics, Special Functions</div>
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