The Form of Multi-additive Symmetric Functions
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DOI: 10.1007/s00025-018-0911-9
Abstract: In this paper we show that every n-additive symmetric function, between quite general structures like abelian groups and semigroups, can be factorized into a composition of additive function with the product of additive functions. We… read more here.
Keywords: additive symmetric; multi additive; form multi; symmetric functions ... See more keywords
Cyclic quasi-symmetric functions
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DOI: 10.1007/s11856-021-2167-4
Abstract: The ring of cyclic quasi-symmetric functions and its non-Escher subring are introduced in this paper. A natural basis consists of fundamental cyclic quasi-symmetric functions; for the non-Escher subring they arise as toric P -partition enumerators,… read more here.
Keywords: quasi symmetric; cyclic quasi; symmetric functions;
Plethysms of symmetric functions and highest weight representations
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DOI: 10.1090/tran/8481
Abstract: Let $s_\nu \circ s_\mu$ denote the plethystic product of the Schur functions $s_\nu$ and $s_\mu$. In this article we define an explicit polynomial representation corresponding to $s_\nu \circ s_\mu$ with basis indexed by certain `plethystic'… read more here.
Keywords: lambda; plethysms symmetric; weight representations; symmetric functions ... See more keywords
Symmetric functions of the k-Fibonacci and k-Lucas numbers
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DOI: 10.1142/s1793557121500315
Abstract: In this paper, we introduce a new operator in order to derive some new symmetric properties of k-Fibonacci and k-Lucas numbers and Fibonacci polynomials. By making use of the new operator defined i... read more here.
Keywords: fibonacci lucas; lucas numbers; functions fibonacci; symmetric functions ... See more keywords
Entire Symmetric Functions on the Space of Essentially Bounded Integrable Functions on the Union of Lebesgue-Rohlin Spaces
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DOI: 10.3390/axioms11090460
Abstract: The class of measure spaces which can be represented as unions of Lebesgue-Rohlin spaces with continuous measures contains a lot of important examples, such as Rn for any n∈N with the Lebesgue measure. In this… read more here.
Keywords: symmetric functions; lebesgue rohlin; complex valued; entire symmetric ... See more keywords
Approximations of Symmetric Functions on Banach Spaces with Symmetric Bases
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DOI: 10.3390/sym13122318
Abstract: This paper is devoted to studying approximations of symmetric continuous functions by symmetric analytic functions on a Banach space X with a symmetric basis. We obtain some positive results for the case when X admits… read more here.
Keywords: functions banach; banach spaces; spaces symmetric; analytic functions ... See more keywords
Sandwich Theorems for a New Class of Complete Homogeneous Symmetric Functions by Using Cyclic Operator
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DOI: 10.3390/sym14102223
Abstract: In this paper, we discuss and introduce a new study on the connection between geometric function theory, especially sandwich theorems, and Viete’s theorem in elementary algebra. We obtain some conclusions for differential subordination and superordination… read more here.
Keywords: sandwich theorems; symmetric functions; cyclic operator; homogeneous symmetric ... See more keywords