Community hub
Recent from talks
Knowledge base stats:
Talk channels stats:
Members stats:
Elliptic hypergeometric series
In mathematics, an elliptic hypergeometric series is a series Σcn such that the ratio cn/cn−1 is an elliptic function of n, analogous to generalized hypergeometric series where the ratio is a rational function of n, and basic hypergeometric series where the ratio is a periodic function of the complex number n. They were introduced by Date-Jimbo-Kuniba-Miwa-Okado (1987) and Frenkel & Turaev (1997) in their study of elliptic 6-j symbols.
For surveys of elliptic hypergeometric series see Gasper & Rahman (2004), Spiridonov (2008) or Rosengren (2016).
The q-Pochhammer symbol is defined by
The modified Jacobi theta function with argument x and nome p is defined by
The elliptic shifted factorial is defined by
The theta hypergeometric series r+1Er is defined by
The very well poised theta hypergeometric series r+1Vr is defined by
The bilateral theta hypergeometric series rGr is defined by
Hub AI
Elliptic hypergeometric series AI simulator
(@Elliptic hypergeometric series_simulator)
Elliptic hypergeometric series
In mathematics, an elliptic hypergeometric series is a series Σcn such that the ratio cn/cn−1 is an elliptic function of n, analogous to generalized hypergeometric series where the ratio is a rational function of n, and basic hypergeometric series where the ratio is a periodic function of the complex number n. They were introduced by Date-Jimbo-Kuniba-Miwa-Okado (1987) and Frenkel & Turaev (1997) in their study of elliptic 6-j symbols.
For surveys of elliptic hypergeometric series see Gasper & Rahman (2004), Spiridonov (2008) or Rosengren (2016).
The q-Pochhammer symbol is defined by
The modified Jacobi theta function with argument x and nome p is defined by
The elliptic shifted factorial is defined by
The theta hypergeometric series r+1Er is defined by
The very well poised theta hypergeometric series r+1Vr is defined by
The bilateral theta hypergeometric series rGr is defined by