2 citations · 3 across the 6 of their papers we have counts for
8 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 $…
On a class of transformations of sequences of complex numbers
Ilia D. Mishev
In this paper we consider a transformation of sequences of complex numbers. We find the inverse transformation of as well as the inverse of a related transformation $\t…
A relation for a class of Racah polynomials
Ilia D. Mishev
In this paper we derive a relation for a class of Racah polynomials that appear in a conjecture of Kresch and Tamvakis. The relation follows from an inversion formula for a transfo…
Relations among complementary and supplementary pairings of Saalschutzian 4F3(1) series
R. M. Green, Ilia D. Mishev, Eric Stade
We investigate sums and of pairs of (suitably normalized) Saalschützian hypergeometric series, and develop a theory of relations among these…
Coxeter group actions on Saalschützian series and very-well-poised series
Ilia D. Mishev
In this paper we consider a function , which can be written as a linear combination of two Saalschützian hypergeometric series or as a ver…
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…