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A novel integral identity for circular and diamond symmetric functions - MaRDI portal

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A novel integral identity for circular and diamond symmetric functions (Q6649822)

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scientific article; zbMATH DE number 7955136
Language Label Description Also known as
English
A novel integral identity for circular and diamond symmetric functions
scientific article; zbMATH DE number 7955136

    Statements

    title
    A novel integral identity for circular and diamond symmetric functions (English)
    0 references
    author
    Q6649821
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    publication date
    6 December 2024
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    review text
    The purpose of this article is to prove an integral equality for two univariate functions by elementary trigonometric formulas. Then alternate variants of this theorems and some corollaries are proved. Furthermore, circular symmetric and diamond symmetric functions together with a new integral transformation are defined and a relation between them is proved. A corresponding bivariate \(l_1\)-norm and a relation for this are also given. Finally, a two-dimensional Mellin transform and a two-dimensional Fourier transform are introduced.
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    reviewed by
    Thomas Ernst
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    cites work
    Q3331506
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    Q5279751
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    Q3999269
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    Identifiers

    Mathematics Subject Classification ID
    33B20
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    33B10
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    44A15
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    44A20
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    zbMATH DE Number
    7955136
    0 references
     
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