Re: trig asymptotics
- To: mathgroup at smc.vnet.net
- Subject: [mg15676] Re: [mg15583] trig asymptotics
- From: Jurgen Tischer <jtischer at col2.telecom.com.co>
- Date: Sat, 30 Jan 1999 04:29:08 -0500 (EST)
- Organization: Universidad del Valle
- References: <199901280923.EAA13051@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Arnold,
Series[TrigToExp[(1/2) ArcTan[n] ArcSinh[n]], {n, Infinity, 1}] does it.
Jurgen
Arnold Knopfmacher wrote:
>
> Hi All
>
> How do I get an asymptotic expansion for large n of the function (1/2)
> ArcTan[n] ArcSinh[n]? The command
>
> Series[(1/2) ArcTan[n] ArcSinh[n], {n, Infinity, 2}] does not work..
>
> The output I expect is
> (Log[n]+Log[2]) Pi/4 -(Log[2]/2+Log[n]/2)/n +O[1/n^2]. Thank you
>
> Arnold Knopfmacher
> Wiwwatersrand University
- References:
- trig asymptotics
- From: Arnold Knopfmacher <arnoldk@gauss.cam.wits.ac.za>
- trig asymptotics