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Results tagged with special-functions
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user 26437
Many special functions appear as solutions of differential equations or integrals of elementary functions. Most special functions have relationships with representation theory of Lie groups.
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$(q, t)$-binomial coefficients
The $q$-binomial coefficients ${n + k \choose n}_q$ can be written as a sum
$${n + k \choose n}_q = \sum_{\lambda \subset (n^k)} q^{|\lambda|}\qquad (1)$$
where $(n^k) = (n, n, ..., n)$ is a partiti …
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