4 papers
Relations for a class of terminating hypergeometric series
Ilia D. Mishev
We derive relations for a certain class of terminating hypergeometric series with three free parameters. The invariance group composed of these relations is shown to b…
Extensions of classical hypergeometric identities of Bailey and Whipple
Ilia D. Mishev
We obtain extensions of classical hypergeometric identities of Bailey and Whipple that transform nearly-poised and very-well-poised series to Saalschützian series, Saalschützian se…
Coxeter group actions and limits of hypergeometric series
Richard M. Green, Ilia D. Mishev, Eric Stade
In this paper, we use combinatorial group theory and a limiting process to connect various types of hypergeometric series, and of relations among such series. We begin with a set $…
An invariance group for a linear combination of two Saalschützian hypergeometric series
Ilia D. Mishev
We explore a function which is a linear combination of two Saalschützian hypergeometric series. We demonstrate a fundamental two-term rel…