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)