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pochhammer-0028

Edited by Yasushi Tamura

$ (
{\tt relation1.gt}
(
{\tt complex1.real}
(z), 0 ) \Rightarrow \Gamma(z)=\i...
...1.interval}
( 0 ,nums1.infinity),fns1.lambdat((t)^{(z- 1 )}\cdot (e)^{(-z)}))) $
Typeset by om2tex.xsl

$
{\tt implies}
(
{\tt relation1Gt}
(
{\tt complex1Real}
(z),0),\Gamma (z) =...
...IND}
(
{\tt fns1Lambda}
,
{\tt OMBVAR}
(t),{\frac{{t^{-1 + z}}}{{{e}^z}}}))) $
Typeset by Mathematica

Formula in the tfb format:

    complex1.real(z) ~relation1.gt~ 0 ~logic1.implies~
     (hypergeo0.gamma(z) ~relation1.eq~ 
      calculus1.defint(
        interval1.interval(0,nums1.infinity),
        OMBIND(fns1.lambda,OMBVAR(t),
          arith1.power(t,z ~arith1.minus~ 1) ~arith1.times~
            arith1.power(e, arith1.unary_minus(z)))));

Reference: Retrieve the formula in Mathematica form pochhammer-0028-math-auto.m Retrieve the formula in Risa/Asir form pochhammer-0028-asir-auto.rr Retrieve the formula in LaTeX form pochhammer-0028-tex-auto.tex Interactive replacement pochhammer-0028-js-auto.html


Nobuki Takayama 2003-02-03