q-beta function
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8 matching pages
1: 5.18 -Gamma and -Beta Functions
2: 5.21 Methods of Computation
3: Bibliography I
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-Hermite polynomials, biorthogonal rational functions, and -beta integrals.
Trans. Amer. Math. Soc. 346 (1), pp. 63–116.
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4: Bibliography
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A -beta integral on the unit circle and some biorthogonal rational functions.
Proc. Amer. Math. Soc. 121 (2), pp. 553–561.
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5: Bibliography P
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Tables of Digamma and Trigamma Functions.
In Tracts for Computers, No. 1, K. Pearson (Ed.),
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Exponential asymptotics of the Mittag-Leffler function.
Proc. Roy. Soc. London Ser. A 458, pp. 3041–3052.
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Orthogonal polynomials and some -beta integrals of Ramanujan.
J. Math. Anal. Appl. 112 (2), pp. 517–540.
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Tables of the Incomplete Beta-function.
2nd edition, Published for the Biometrika Trustees at the Cambridge
University Press, Cambridge.
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A note on the computation of the incomplete beta function.
Adv. Eng. Software 12 (1), pp. 39–44.
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6: 18.27 -Hahn Class
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18.27.12_5
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7: 18.28 Askey–Wilson Class
8: Errata
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Equation (18.27.4)
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Equations (31.3.10), (31.3.11)
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Equation (18.27.6)
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Section 17.1
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Equation (17.13.3)
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18.27.4
We changed the presentation of this equation. Previously the was presented as .
31.3.10
31.3.11
In both equations, the second entry in the has been corrected with an extra minus sign.
18.27.6
Originally the first argument to the big -Jacobi polynomial on the right-hand side was written incorrectly as .
Reported 2017-09-27 by Tom Koornwinder.
17.13.3
Originally the differential was identified incorrectly as ; the correct differential is .
Reported 2011-04-08.