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Results tagged with hypergeometric-functions
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user 979
Hypergeometric functions are the analytic functions defined by Taylor expansions of the shape $\sum_{n \geq 0} a_n x^n$, where $a_{n+1}/a_n$ is a rational function of $n$. This general family of functions encompasses many classical functions. The hypergeometric functions play an important role in many parts of mathematics.
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Nonnegativity of q-hypergeometric series
What are methods for proving nonnegativity of q-hypergeometric functions? Specifically, I have a function of the type 4-phi-3, it is a terminating series:
$$
{}_{4}\phi_3\left(\begin{matrix} q^{-i_1}, …
- 1,765
1
vote
Accepted
Nonnegativity of q-hypergeometric series
In this paper (https://arxiv.org/abs/1905.06815) there is a similar 4-phi-3 nonnegativity statement which in fact can be utilized to get the nonnegativity of the function in question. In Proposition A …
- 1,765