connection with
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1: 8.23 Statistical Applications
§8.23 Statistical Applications
… ►The function and its normalization play a similar role in statistics in connection with the beta distribution; see Johnson et al. (1995, pp. 210–275). …2: 21.10 Methods of Computation
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§21.10(ii) Riemann Theta Functions Associated with a Riemann Surface
… ►Deconinck and van Hoeij (2001). Here a plane algebraic curve representation of the Riemann surface is used.
3: 28.27 Addition Theorems
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►Addition theorems provide important connections between Mathieu functions with different parameters and in different coordinate systems.
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4: 36.14 Other Physical Applications
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►Diffraction catastrophes describe the connection between ray optics and wave optics.
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►Diffraction catastrophes describe the “semiclassical” connections between classical orbits and quantum wavefunctions, for integrable (non-chaotic) systems.
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5: 12.16 Mathematical Applications
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►In Brazel et al. (1992) exponential asymptotics are considered in connection with an eigenvalue problem involving PCFs.
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6: 17.18 Methods of Computation
7: 31.18 Methods of Computation
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►Subsequently, the coefficients in the necessary connection formulas can be calculated numerically by matching the values of solutions and their derivatives at suitably chosen values of ; see Laĭ (1994) and Lay et al. (1998).
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8: Peter Paule
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►Paule’s main research interests are computer algebra and algorithmic mathematics, together with connections to combinatorics, special functions, number theory, and other related fields.
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9: 13.27 Mathematical Applications
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►Confluent hypergeometric functions are connected with representations of the group of third-order triangular matrices.
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10: Mark J. Ablowitz
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►Widespread interest in Painlevé equations re-emerged in the 1970s and thereafter partially due to the connection with IST and integrable systems.
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