Euler-product%20representation
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1: Wolter Groenevelt
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►Groenevelt’s research interests is in special functions and orthogonal polynomials and their relations with representation theory and interacting particle systems.
►As of September 20, 2022, Groenevelt performed a complete analysis and acted as main consultant for the update of the source citation and proof metadata for every formula in Chapter 18 Orthogonal Polynomials.
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2: 20 Theta Functions
Chapter 20 Theta Functions
…3: 25.12 Polylogarithms
4: Bibliography V
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Representation of Lie Groups and Special Functions. Volume 2: Class I Representations, Special Functions, and Integral Transforms.
Mathematics and its Applications (Soviet Series), Vol. 74, Kluwer Academic Publishers Group, Dordrecht.
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Special Functions and the Theory of Group Representations.
American Mathematical Society, Providence, RI.
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Representation of an odd number as a sum of three primes (Russian).
Dokl. Akad. Nauk SSSR 15, pp. 169–172 (Russian).
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Integral representations for products of Lamé functions by use of fundamental solutions.
SIAM J. Math. Anal. 15 (3), pp. 559–569.
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Fourier series representation of Ferrers function
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5: 21.10 Methods of Computation
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Tretkoff and Tretkoff (1984). Here a Hurwitz system is chosen to represent the Riemann surface.
Deconinck and van Hoeij (2001). Here a plane algebraic curve representation of the Riemann surface is used.
6: 25.5 Integral Representations
§25.5 Integral Representations
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25.5.5
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►For similar representations involving other theta functions see Erdélyi et al. (1954a, p. 339).
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25.5.19
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§25.5(iii) Contour Integrals
…7: 26.19 Mathematical Applications
§26.19 Mathematical Applications
… ►Partitions and plane partitions have applications to representation theory (Bressoud (1999), Macdonald (1995), and Sagan (2001)) and to special functions (Andrews et al. (1999) and Gasper and Rahman (2004)). …8: 18.5 Explicit Representations
9: 8.17 Incomplete Beta Functions
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§8.17(ii) Hypergeometric Representations
… ►§8.17(iii) Integral Representation
… ►Further integral representations can be obtained by combining the results given in §8.17(ii) with §15.6. … ►
8.17.24
positive integers; .
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