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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
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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
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Elementary proofs of some identities of Ramanujan for the Rogers-Ramanujan functions [PDF]
, 2012 In a handwritten manuscript published with his lost notebook, Ramanujan stated without proofs forty identities for the Rogers-Ramanujan functions. With one exception all of Ramanujan's identities were proved.
Yesilyurt, H. +2 more
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On the infinite Borwein product raised to a positive real power. [PDF]
Ramanujan J, 2023 Schlosser MJ, Zhou NH.
europepmc +1 more source
Weighted cylindric partitions. [PDF]
J Algebr Comb (Dordr), 2022 Bridges W, Uncu AK.
europepmc +1 more source
Bilateral Bailey lemma and Rogers–Ramanujan identities [PDF]
, 2009 We prove a bilateral Bailey lemma and establish twenty-five transformation formulae between unilateral and bilateral summations for nonterminating basic hypergeometric series.
Wenchang Chu +4 more
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Affine Lie Algebras, Vertex Operator Algebras and Combinatorial Identities
, 2005 Affine Lie algebra representations have many connections with different areas of mathematics and physics. One such connection in mathematics is with number theory and in particular combinatorial identities.
Cook, William Jeffrey
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Combinatorial Interpretation of Rogers Ramanujan Identities and Their Analogues
, 2012 M.Sc. (Mathematics and Computing)In this thesis, we study about partitions of positive integers. The study of parti- tions of positive integers has fascinated a number of great mathematicians: Euler, Legendre, Ramanujan, Hardy, Rademacher, Sylvester ...
Bansal, Rajni
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The Rogers-Ramanujan Identities and Cauchy's Identity
The Rogers-Ramanujan identities are investigated using the Cauchy identity for Schur functions.The author would like to thank the anonymous referees whose suggestions substantially improved this ...
Stanton, Dennis
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Ramanujan's influence on string theory, black holes and moonshine. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 Harvey JA.
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