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4.751  Articles
1 of 476 pages  |  10  records  |  more records»
Motivated by Stanley's conjecture on the multiplication of Jack symmetric functions, we prove a couple of identities showing that skew Jack symmetric functions are semi-invariant up to translation and rotation of a p\pi angle of the skew diagram. It follo... see more

Plethysm is a fundamental operation in symmetric function theory, derived directly from its connection with representation theory. However, it does not admit a simple combinatorial interpretation, and finding coefficients of Schur function plethysms is a ... see more

Motivated by Stanley's conjecture on the multiplication of Jack symmetric functions, we prove a couple of identities showing that skew Jack symmetric functions are semi-invariant up to translation and rotation of a p\pi angle of the skew diagram. It follo... see more

Plethysm is a fundamental operation in symmetric function theory, derived directly from its connection with representation theory. However, it does not admit a simple combinatorial interpretation, and finding coefficients of Schur function plethysms is a ... see more

In this paper, we introduce a new class of generalized  polynomials associated with  the modified Milne-Thomson's polynomials F_{n}^{(a)}(x,?) of degree n and order a introduced by  Derre and Simsek.The concepts of Bernoulli numbers B_n, Be... see more

q analog of bessel functions, symmetric under the interchange of q and q^ -1 are introduced. The definition is based on the generating function realized as product of symmetric q-exponential functions with appropriate arguments. Symmetric q-Bessel functio... see more

We give combinatorial proofs of q-Stirling identities using restricted growth words.  This includes a poset theoretic proof of Carlitz's identity, a new proof of the q-Frobenius identity of Garsia and Remmel and of Ehrenborg's Hankel q-Stirling deter... see more

Using cocommutativity of the Hopf algebra of symmetric functions, certain skew Schur functions are proved to be equal. Some of these skew Schur function identities are new.

In this paper, we introduce a new class of generalized  polynomials associated with  the modified Milne-Thomson's polynomials F_{n}^{(a)}(x,?) of degree n and order a introduced by  Derre and Simsek.The concepts of Bernoulli numbers B_n, Be... see more

1 of 476 pages  |  10  records  |  more records»