2019•Tambov University Reports Series Natural and Technical SciencesRequires access

Star product and star function

Akira Yoshioka

Abstract

We give a brief review on star products and star functions [8, 9]. We introduce a star product on polynomials. Extending the product to functions on complex space, we introduce exponential element in the star product algebra. By means of the star exponential functions we can define several functions called star functions in the algebra.We show certain examples.

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Key concepts: Star (game theory), Star product, Exponential function, Product (mathematics), Mathematics, Function (biology), Algebra over a field, Pure mathematics