#9706: Symbolic Chebyshev polynomials
-------------------------------------+-------------------------------------
       Reporter:  maldun             |        Owner:  burcin, maldun
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-5.13
      Component:  symbolics          |   Resolution:
       Keywords:  orthogonal         |    Merged in:
  polynomials, symbolics             |    Reviewers:  Burcin Erocal, Travis
        Authors:  Stefan Reiterer    |  Scrimshaw, Stefan Reiterer, Jeroen
Report Upstream:  N/A                |  Demeyer
         Branch:                     |  Work issues:
   Dependencies:  #864, #9640,       |       Commit:
  #10018, #11868, #15422             |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by maldun):

 after some thinking, I guess you are right. A General OrthogonalPolynomial
 is sophisticated, but it needs too much tweaking, and too much exception
 cathing, which makes the code unsafe.

 @ __call__ : I'm not even sure about that, since we check for negative
 integers, but some ortho polys get only an analytical expression with non
 negative integers, and no algebraic meaning.

 I propose the following

 * OrthogonalPolynomial: Naming Conventions
 * ChebyshevPolynomial: base Class for Cheby_t and Cheby_u (Current
 Orthogonal Polynomials)
 * LegendrePolynomials
 .... etc.

--
Ticket URL: <http://trac.sagemath.org/ticket/9706#comment:118>
Sage <http://www.sagemath.org>
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