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MathGroup Archive 2005

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Re: Convert to hypergeometric function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg62790] Re: Convert to hypergeometric function
  • From: "Jens-Peer Kuska" <kuska at informatik.uni-leipzig.de>
  • Date: Mon, 5 Dec 2005 13:40:53 -0500 (EST)
  • Organization: Uni Leipzig
  • References: <dn0vfg$8k3$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

sounds like a home work.
Try it by your self, may be that
http://functions.wolfram.com/

helps.

Regards
  Jens

"bd satish" <bdsatish at gmail.com> schrieb im 
Newsbeitrag news:dn0vfg$8k3$1 at smc.vnet.net...
|
|          How do you express the following 
function functions in terms of
| the hypergeometric function ?
|
|  ExponentialIntegral Ei(x)
|  LogarithmicIntegral Li(x)
|
| Trigonometric functions:
|  sin(x)               arcsin(x)
|  cos(x)              arccos(x)
|  tan(x)               arctan(x)
|  cot(x)               arccot(x)
|  sec(x)              arcsec(x)
| cosec(x)           arccosec(x)
|
| Similarly the hyperbolic functions  :  sinh(x) 
cosh(x) tanh(x) ;;;
| arcsinh(x)  arccosh(x)  arctanh(x)
|
| The logarithmic function:    log(1+x) or log(x)
| the gamma function      :    gamma(n)
| the lambert function     :    lambertW(n,x)
|
|  PLEASE provide the solutions for all the above 
cases (if possible)
|
| 



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