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Some Generalizations of Quasi-symmetric Functions and Noncommutative Symmetric Functions

2000
In this paper, we investigate various kinds of generalisations of symmetric functions. The classical algebra Sym of symmetric functions is embedded in QSym, the algebra of quasi-symmetric functions, and is also a quotient of the algebra Sym of noncommutative symmetric functions.
Duchamp, G.   +2 more
openaire   +2 more sources

Symmetric Polynomials and Symmetric Functions

1995
In Chapter 17 of [371] we have studied symmetric polynomials called zonal polynomials. In this chapter we consider other types of symmetric polynomials as well as their generalizations called symmetric functions (symmetric “polynomials” of an infinite number of indeterminates).
N. Ja. Vilenkin, A. U. Klimyk
openaire   +1 more source

Generalized symmetric and generalized pseudo-symmetric functions

ICECS'99. Proceedings of ICECS '99. 6th IEEE International Conference on Electronics, Circuits and Systems (Cat. No.99EX357), 2003
We introduce generalized symmetric and generalized pseudo-symmetric functions which can be represented as regular two-dimensional linear arrays. It is possible due in part to generalized symmetries, which can be used when functions are represented using exor-based decompositions. We also identify and use local symmetries.
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Symmetric Ternary Switching Functions

IEEE Transactions on Electronic Computers, 1966
This paper develops a theory of symmetric ternary switching functions and presents systematic methods for their detection, identification and synthesis. Shannon's theory of binary symmetric functions is extended to ternary functions by defining a set of five ``priming'' operations which, together with the ``permutation'' operations, form a group ...
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Symmetric group characters as symmetric functions

Advances in Mathematics, 2021
Rosa Orellana, Mike Zabrocki
exaly  

Certain New Subclass of Multivalent Q-Starlike Functions Associated with Q-Symmetric Calculus

Fractal and Fractional, 2022
Mohammad Faisal Khan   +2 more
exaly  

On Elementary Symmetric Functions

Journal of the London Mathematical Society, 1956
Krishnaiah, P. V., Subrahmanyam, N. V.
openaire   +1 more source

Truncated homogeneous symmetric functions

Linear and Multilinear Algebra, 2022
Zhousheng Mei
exaly  

On symmetric functions ofm symmetric functions in a Boolean Algebra

Proceedings of the Indian Academy of Sciences - Section A, 1939
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The Generating Function of Symmetrical Functions

Journal of the London Mathematical Society, 1935
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