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Results tagged with hypergeometric-functions
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user 498251
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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Can the Taylor shift of a hypergeometric function always be expressed as a nontrivial transf...
Given a function $F(z)$, the function $F(z-m)$ is called
the Taylor shift of $F(z)$. If $F(z)$ is a (general) hypergeometric
function, is $F(z-m)$ some simple transformation of a hypergeometric
functi …
- 6,367