#17454: priority symbolic functions implementations
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   Reporter:  rws          |            Owner:
       Type:  enhancement  |           Status:  new
   Priority:  major        |        Milestone:  sage-6.5
  Component:  symbolics    |         Keywords:
  Merged in:               |          Authors:
  Reviewers:               |  Report Upstream:  N/A
Work issues:               |           Branch:
     Commit:               |     Dependencies:
   Stopgaps:               |
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 This is a metaticket listing '''existing''' functions for which symbolic
 implementations are urgently needed because
  * they exist in Sympy, Maxima, or Fricas symbolically, and might be
 returned as result
  * they belong to the holonomic repertoire

 special:
  * Airy functions (#12455)
  * elliptic modular j-function (#15354)
  * Kummer confluent hypergeometric functions (#14896)
  * spherical Bessel and Hankel functions (#15024)

 combinatorial:
  * Bell numbers
  * Bernoulli numbers
  * Catalan numbers
  * Fibonacci(n), general Lucas(u,v)
  * subfactorial

 polynomial (metaticket #16670):
  * Legendre P,Q (#16813)
  * Laguerre (#17151)
  * GegenbauerC
  * HermiteH
  * JacobiP

 Also the Dirichlet Eta function which however is not holonomic.

--
Ticket URL: <http://trac.sagemath.org/ticket/17454>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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