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normalized_fox-wright_function [2015/12/17 13:29]
nikolaj
normalized_fox-wright_function [2015/12/25 17:19] (current)
nikolaj
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 So an expansion coefficient of ${}_p\Psi_q^*$ is a fraction of products with factors $\Gamma(a_m+A_m\cdot{n})\,/​\,​\Gamma(a_m)$,​ which are essentially also a product consisting of equidistant factors. So an expansion coefficient of ${}_p\Psi_q^*$ is a fraction of products with factors $\Gamma(a_m+A_m\cdot{n})\,/​\,​\Gamma(a_m)$,​ which are essentially also a product consisting of equidistant factors.
  
-E.g. at $n=5$, the context $\langle a_1,​A_1\rangle=\langle 5,1\rangle$ gives a multiplicative ​of contribution ​+E.g. at $n=5$, the context $\langle a_1,​A_1\rangle=\langle 5,1\rangle$ gives a multiplicative contribution ​
  
 $\dfrac{\Gamma(4+5)}{\Gamma(4)} = 4 \cdot 5\cdot 6\cdot 7\cdot 8$. $\dfrac{\Gamma(4+5)}{\Gamma(4)} = 4 \cdot 5\cdot 6\cdot 7\cdot 8$.
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