Convert to hypergeometric function
- To: mathgroup at smc.vnet.net
- Subject: [mg62784] Convert to hypergeometric function
- From: bd satish <bdsatish at gmail.com>
- Date: Mon, 5 Dec 2005 03:37:58 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
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)