Bailey%E2%80%93Daum%20q-Kummer%20sum
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1: 17.12 Bailey Pairs
§17.12 Bailey Pairs
►Bailey Transform
… ►Bailey Pairs
… ►Weak Bailey Lemma
… ►Strong Bailey Lemma
…2: 17 q-Hypergeometric and Related Functions
Chapter 17 -Hypergeometric and Related Functions
…3: Bibliography
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Algorithm 683: A portable FORTRAN subroutine for exponential integrals of a complex argument.
ACM Trans. Math. Software 16 (2), pp. 178–182.
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A trinomial analogue of Bailey’s lemma and superconformal invariance.
Comm. Math. Phys. 192 (2), pp. 245–260.
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Umbral calculus, Bailey chains, and pentagonal number theorems.
J. Combin. Theory Ser. A 91 (1-2), pp. 464–475.
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Bailey’s Transform, Lemma, Chains and Tree.
In Special Functions 2000: Current Perspective and Future
Directions (Tempe, AZ), J. Bustoz, M. E. H. Ismail, and S. K. Suslov (Eds.),
NATO Sci. Ser. II Math. Phys. Chem., Vol. 30, pp. 1–22.
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Quadratic differentials and asymptotics of Laguerre polynomials with varying complex parameters.
J. Math. Anal. Appl. 416 (1), pp. 52–80.
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4: 17.8 Special Cases of Functions
5: Bibliography B
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A Fortran-90 based multiprecision system.
ACM Trans. Math. Software 21 (4), pp. 379–387.
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Products of generalized hypergeometric series.
Proc. London Math. Soc. (2) 28 (2), pp. 242–254.
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Transformations of generalized hypergeometric series.
Proc. London Math. Soc. (2) 29 (2), pp. 495–502.
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The generating function of Jacobi polynomials.
J. London Math. Soc. 13, pp. 8–12.
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Generalized Hypergeometric Series.
Stechert-Hafner, Inc., New York.
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6: 4.48 Software
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►See also Bailey (1995), Hull and Abrham (1986), Xu and Li (1994).
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Bailey (1993). Fortran.
7: 17.1 Special Notation
8: 17.10 Transformations of Functions
9: 17.6 Function
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-Gauss Sum
… ►First -Chu–Vandermonde Sum
… ►Second -Chu–Vandermonde Sum
… ►Andrews–Askey Sum
… ►Bailey–Daum -Kummer Sum
…10: 16.12 Products
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16.12.3
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