Andrews’ q-Dyson conjecture
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11—20 of 102 matching pages
11: 18.38 Mathematical Applications
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►also the case of (18.14.26), was used in de Branges’ proof of the long-standing Bieberbach conjecture concerning univalent functions on the unit disk in the complex plane.
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►See, for example, Andrews et al. (1999, Chapter 9).
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12: 5 Gamma Function
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13: 13 Confluent Hypergeometric Functions
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14: 15 Hypergeometric Function
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15: 16 Generalized Hypergeometric Functions & Meijer G-Function
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16: 26.19 Mathematical Applications
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►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)).
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17: 27 Functions of Number Theory
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18: 5.16 Sums
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►For sums of gamma functions see Andrews et al. (1999, Chapters 2 and 3) and §§15.2(i), 16.2.
►For related sums involving finite field analogs of the gamma and beta functions (Gauss and Jacobi sums) see Andrews et al. (1999, Chapter 1) and Terras (1999, pp. 90, 149).
19: 18 Orthogonal Polynomials
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20: Richard B. Paris
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► Andrews, U.
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