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normalized_fox-wright_function [2015/12/17 13:29] nikolaj |
normalized_fox-wright_function [2015/12/25 17:19] 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 |
| $\dfrac{\Gamma(4+5)}{\Gamma(4)} = 4 \cdot 5\cdot 6\cdot 7\cdot 8$. | $\dfrac{\Gamma(4+5)}{\Gamma(4)} = 4 \cdot 5\cdot 6\cdot 7\cdot 8$. | ||
