Re: Integration Methods in PARI

Dirk Laurie on Mon, 19 Mar 2018 11:49:31 +0100

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Re: Integration Methods in PARI

To: kevin lucas <lucaskevin296@gmail.com>
Subject: Re: Integration Methods in PARI
From: Dirk Laurie <dirk.laurie@gmail.com>
Date: Mon, 19 Mar 2018 12:49:23 +0200
References: <CACESMj+vSOmgzLDqczrpw6Qme5LttU_c4zQ0Jzkbrijk6ZxZig@mail.gmail.com> <20180316175708.211824qn6kwbotpc@mail.math.u-bordeaux.fr> <CACESMjLJTm_tRXGUnbrAgHVbZ90L_QLkMPkN8+KHC0X8FJdP=A@mail.gmail.com> <CACESMj+0MNDd_k8r=f5HuZ+Tpxsfo6y0CM1WW5PHQSLKTiMkFg@mail.gmail.com> <CABcj=tnAHc8-aE-KAg+0_M8ztkYqwX5NdYM21p3kBt5i9R_9iw@mail.gmail.com> <CACESMjL9asWes5bedFJsmrcg+Gb1nR_q6d7zzHRbun=28wPTDg@mail.gmail.com>

2018-03-19 11:59 GMT+02:00 kevin lucas <lucaskevin296@gmail.com>:

> I should have been clearer. The PARI manual shows how to integrate the
> product of a sine or cosine and a non-oscillating function. I was asking
> about functions that could not be expressed in this way, such as a Bessel
> function.

That's a quite specialized area. You may want to look at:

Joris Van Deun, Ronald Cools:
Integrating products of Bessel functions with an additional
exponential or rational factor. Computer Physics Communications
178(8): 578-590 (2008)

References:
- Integration Methods in PARI
  - From: kevin lucas <lucaskevin296@gmail.com>
- Re: Integration Methods in PARI
  - From: Henri.Cohen@math.u-bordeaux.fr
- Re: Integration Methods in PARI
  - From: kevin lucas <lucaskevin296@gmail.com>
- Re: Integration Methods in PARI
  - From: kevin lucas <lucaskevin296@gmail.com>

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