Results 71 to 80 of about 505,916 (139)
A combinatorial proof of the Rogers–Ramanujan and Schur identities
Journal of Combinatorial Theory, Series A, 2006 12 pages, 5 figures; incorporated referee suggestions, simplified definition of (k,m)-rank, to appear in JCT(A)
Cilanne Boulet, Igor Pak
openaire +2 more sources
$q$-Bessel functions and Rogers-Ramanujan type identities
, 2018 We evaluate q-Bessel functions at an infinite sequence of points and introduce a generalization of the Ramanujan function and give an extension of the m-version of the Rogers-Ramanujan identities.
Zhang, Ruiming +3 more
core +1 more source
Tribasic Integrals And Identities Of Rogers-Ramanujan Type
, 2003 Some integrals involving three bases are evaluated as infinite products using complex analysis. Many special cases of these integrals may be evaluated in another way to find infinite sum representations for these infinite products.
Ismail, M. E.H., Stanton, D.
core +2 more sources
Rogers–Ramanujan type identities and Nil-DAHA
Advances in Mathematics, 2013 v2: extending the dilogarithm part, adding level two formulas (thanks to Ole Warnaar); v3: more on dilogarithms (thanks to Tomoki Nakanishi), adding references and some instances of level-rank duality; v4 ...
Cherednik, Ivan, Feigin, Boris
openaire +3 more sources
Dedekind's eta-function and Rogers-Ramanujan identities
, 2012 We prove a q-series identity that generalizes Macdonald's A η-function identity and the Rogers-Ramanujan identities.
Warnaar, S. Ole, Zudilin, Wadim
core +1 more source
Some More Identities of Rogers-Ramanujan Type [PDF]
, 2009 In this we paper we prove several new identities of the Rogers-Ramanujan-Slater type. These identities were found as the result of computer searches. The proofs involve a variety of techniques, including series-series identities, Bailey pairs, a theorem ...
Bowman, Douglas +2 more
core +1 more source
New Proofs of Some Double Sum Rogers-Ramanujan Type Identities [PDF]
, 2022 Recently, Rosengren utilized an integral method to prove a number of conjectural identities found by Kanade and Russell. Using this integral method, we give new proofs to some double sum identities of Rogers-Ramanujan type.
Wang, Liuquan
core
Rogers-Ramanujan Type Identities Involving Double Sums
We prove four new Rogers-Ramanujan-type identities for double series. They follow from the classical Rogers-Ramanujan identities using the constant term method and properties of Rogers-Szegő polynomials.We are grateful to the referees and the editors for
Chen, Dandan, Yin, Siyu
core +1 more source
2-colored Rogers-Ramanujan partition identities
, 2022 In this paper, we combined two types of partitions and introduced 2-colored Rogers-Ramanujan partitions. By finding some functional equations and using a constructive method, some identities have been found.
MOHAMMAD ZADEHDABBAGH +1 more
core +1 more source
Pseudo q-Engel expansions and Rogers-Ramanujan type identities
, 2012 Andrews, Knopfmacher and Knopfmacher have used the Schur polynomials to consider the celebrated Rogers-Ramanujan identities in the context of q-Engel expansions. We extend this view using similar polynomials, provided by Sills, in the context of Slater's
Prodinger H., Prodinger, Helmut
core +1 more source