Results 11 to 20 of about 505,867 (109)
New Enumerations for l-Regular Bipartitions Under Modulo 2 and 3
Journal of MathematicsFor any positive integer l, Bln represents the number of l-regular bipartitions. By employing q-identities, modular equations, and Rogers–Ramanujan continued fraction identities, we establish new congruences under modulo 2 and 3.
null Maheshagouda, B. R. Srivatsa Kumar
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Variations on a result of Bressoud [PDF]
, 2013 The well-known Rogers-Ramanujan identities have been a rich source of mathematical study over the last fifty years. In particular, Gordon’s generalization in the early 1960s led to additional work by Andrews and Bressoud in subsequent years ...
Kurşungöz, Kağan, Sellers, James A.
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The Reading Teacher, Volume 77, Issue 2, Page 189-198, September/October 2023., 2023 Abstract This article explores the potential of using children's literature in elementary mathematics classrooms as contexts for students to understand more fully the issues of equity, diversity, and inclusion. Informed by culturally responsive pedagogy, opportunities to link children's literature to mathematics education create cultural relevance for ...
Evan Throop Robinson
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Further Rogers-Ramanujan type identities for modified lattice paths [PDF]
, 2023 Recently, the authors introduced the modified lattice paths which generalize Agarwal-Bressoud weighted lattice paths. Using these new objects they interpreted combinatorially two basic series identities which led to two new combinatorial Rogers-Ramanujan
Ashok Kumar Agarwal, Sachdeva, Rachna
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Orthogonality Property of the Discrete q‐Hermite Matrix Polynomials
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 In this paper, we prove that the solution of the autonomous q‐difference system DqY(x) = AY(qx) with the initial condition Y(0) = Y0 where A is a constant square complex matrix, Dq is the Jackson q‐derivative and 0 < q < 1, is asymptotically stable if and only if ℜ(λ) < 0 for all λ ∈ σ(A) where σ(A) is the set of all eigenvalues of A (the spectrum of A)
Ahmed Salem +3 more
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Sums of Series of Rogers Dilogarithm Functions [PDF]
, 2007 Some sums of series of Rogers dilogarithm functions are established by Abel’s functional ...
Qi, Feng, Hoorfar, Abdolhossein
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Overpartitions, lattice paths and Rogers-Ramanujan identities [PDF]
, 2006 We extend partition-theoretic work of Andrews, Bressoud, and Burge to overpartitions, defining the notions of successive ranks, generalized Durfee squares, and generalized lattice paths, and then relating these to overpartitions defined by multiplicity ...
Mallet, Olivier +3 more
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On identities of the Rogers-Ramanujan type [PDF]
, 1985 An elementary approach to a number of identities of the Rogers-Ramanujan type is given. It is shown that analytic formulas like, e.g., the Rogers-Ramanujan, the Rogers-Selberg and the Göllnitz-Gordon identities can be obtained essentially as consequences
Paule, Peter
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Some theorems on the explicit evaluation of Ramanujan's theta-functions
International Journal of Mathematics and Mathematical Sciences, 2004 Bruce C. Berndt et al. and Soon-Yi Kang have proved many of Ramanujan's formulas for the explicit evaluation of the Rogers-Ramanujan continued fraction and theta-functions in terms of Weber-Ramanujan class invariants.
Nayandeep Deka Baruah, P. Bhattacharyya
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Level two string functions and Rogers Ramanujan type identities
Nuclear Physics B, 2014 The level two string functions are calculated exactly for all simply laced Lie algebras, using a ladder coset construction. These are the characters of cosets of the type G/U(1)r, where G is the algebra at level two and r is its rank.
Arel Genish, Doron Gepner
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