Known integer sequence for series?
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Newsgroups: sci.math
From:
Gerry <Gerry... @gmail.com> Date: Mon, 1 Dec 2008 09:03:48 -0800 (PST)
Local: Mon, Dec 1 2008 10:03 pm
Subject: Known integer sequence for series?
Hi all, can someone tell me if there exists an integer sequence for the
I + x + 1/10*I*x^2 - 9/200*I*x^4 + 57/2000*I*x^6 - 1653/80000*I*x^8 +
I=sqrt(-1)
regards
Gerry
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Newsgroups: sci.math
From:
Mariano Suárez-Alvarez <mariano.suarezalva... @gmail.com> Date: Mon, 1 Dec 2008 09:12:12 -0800 (PST)
Local: Mon, Dec 1 2008 10:12 pm
Subject: Re: Known integer sequence for series?
On Dec 1, 3:03 pm, Gerry <Gerry... @gmail.com> wrote:
> Hi all,
> can someone tell me if there exists an integer sequence for the
> I + x + 1/10*I*x^2 - 9/200*I*x^4 + 57/2000*I*x^6 - 1653/80000*I*x^8 +
> I=sqrt(-1)
-- m
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Newsgroups: sci.math
From:
Gerry <Gerry... @gmail.com> Date: Mon, 1 Dec 2008 11:21:10 -0800 (PST)
Local: Tues, Dec 2 2008 12:21 am
Subject: Re: Known integer sequence for series?
On Dec 1, 6:12 pm, Mariano Suárez-Alvarez
<mariano.suarezalva
... @gmail.com> wrote:
> On Dec 1, 3:03 pm, Gerry <Gerry
... @gmail.com> wrote:
> > Hi all,
> > can someone tell me if there exists an integer sequence for the
> > I + x + 1/10*I*x^2 - 9/200*I*x^4 + 57/2000*I*x^6 - 1653/80000*I*x^8 +
> > I=sqrt(-1)
> what *is* a "integer sequence for a series"?
> -- m
as you can see the denominators are ~easy~ to determine so i thought
Gerry
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Newsgroups: sci.math
From:
Robert Israel <isr... @math.MyUniversitysInitials.ca> Date: Mon, 01 Dec 2008 14:03:36 -0600
Local: Tues, Dec 2 2008 1:03 am
Subject: Re: Known integer sequence for series?
Gerry <Gerry
... @gmail.com> writes:
> On Dec 1, 6:12=A0pm, Mariano Su=E1rez-Alvarez
> <mariano.suarezalva
... @gmail.com> wrote:
> > On Dec 1, 3:03=A0pm, Gerry <Gerry
... @gmail.com> wrote:
> > > Hi all,
> > > can someone tell me if there exists an integer sequence for the
> > > I + x + 1/10*I*x^2 - 9/200*I*x^4 + 57/2000*I*x^6 - 1653/80000*I*x^8 +
> > > I=3Dsqrt(-1)
> > what *is* a "integer sequence for a series"?
> > -- m
> Hi
> as you can see the denominators are ~easy~ to determine so i thought
> Gerry
... @math.MyUniversitysInitials.ca http://www.math.ubc.ca/~israel
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Newsgroups: sci.math
From:
Gerry <Gerry... @gmail.com> Date: Tue, 2 Dec 2008 00:23:36 -0800 (PST)
Local: Tues, Dec 2 2008 1:23 pm
Subject: Re: Known integer sequence for series?
On Dec 1, 9:03 pm, Robert Israel
<isr
... @math.MyUniversitysInitials.ca> wrote:
> Gerry <Gerry
... @gmail.com> writes:
> > On Dec 1, 6:12=A0pm, Mariano Su=E1rez-Alvarez
> > <mariano.suarezalva
... @gmail.com> wrote:
> > > On Dec 1, 3:03=A0pm, Gerry <Gerry
... @gmail.com> wrote:
> > > > Hi all,
> > > > can someone tell me if there exists an integer sequence for the
> > > > I + x + 1/10*I*x^2 - 9/200*I*x^4 + 57/2000*I*x^6 - 1653/80000*I*x^8 +
> > > > I=3Dsqrt(-1)
> > > what *is* a "integer sequence for a series"?
> > > -- m
> > Hi
> > as you can see the denominators are ~easy~ to determine so i thought
> > Gerry
> This seems to be the Taylor series for x + I*(1+x^2)^(1/10). ... @math.MyUniversitysInitials.ca http://www.math.ubc.ca/~israel
> - Show quoted text -
thanks a lot!
Does this mean that for any n in N we have that :
I = - ( -(1 + x^n) )^(1/10) * exp(-3*Pi*I/5) / ( 1 + x^n)^(1/10)
Is there a more general notation replacing 10,3 and 8 which i'm not
regards
Gerry
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