7 citations · 17 across the 6 of their papers we have counts for
6 papers
Sums of triangular numbers from the Frobenius determinant
Hjalmar Rosengren
We show that the denominator formula for the strange series of affine superalgebras, conjectured by Kac and Wakimoto and proved by Zagier, follows from a classical determinant eval…
Sklyanin invariant integration
Hjalmar Rosengren
The Sklyanin algebra admits realizations by difference operators acting on theta functions. Sklyanin found an invariant metric for the action and conjectured an explicit formula fo…
An elementary approach to 6j-symbols (classical, quantum, rational, trigonometric, and elliptic)
Hjalmar Rosengren
Elliptic 6j-symbols first appeared in connection with solvable models of statistical mechanics. They include many interesting limit cases, such as quantum 6j-symbols (or q-Racah po…
New transformations for elliptic hypergeometric series on the root system An
Hjalmar Rosengren
Recently, Kajihara gave a Bailey-type transformation relating basic hypergeometric series on the root system An, with different dimensions n. We give, with a new, elementary, proof…
On a hypergeometric identity of Gelfand, Graev and Retakh
Christian Krattenthaler, Hjalmar Rosengren
A hypergeometric identity equating a triple sum to a single sum, originally found by Gelfand, Graev and Retakh [Russian Math. Surveys 47 (1992), 1-88] by using systems of different…
A bilateral series involving basic hypergeometric functions
Hjalmar Rosengren
We prove a summation formula for a bilateral series whose terms are products of two basic hypergeometric functions. In special cases, series of this type arise as matrix elements o…