discrete analog
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11: 25.17 Physical Applications
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►Analogies exist between the distribution of the zeros of on the critical line and of semiclassical quantum eigenvalues.
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12: 26.22 Software
13: 5.16 Sums
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►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).
14: 17.7 Special Cases of Higher Functions
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-Analog of Bailey’s Sum
… ►-Analog of Gauss’s Sum
… ►F. H. Jackson’s Terminating -Analog of Dixon’s Sum
… ►-Analog of Dixon’s Sum
… ►Gasper–Rahman -Analogs of the Karlsson–Minton Sums
…15: 18.27 -Hahn Class
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§18.27(vii) Discrete -Hermite I and II Polynomials
►Discrete -Hermite I
… ►Discrete -Hermite II
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18.27.24
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►For discrete
-Hermite II polynomials the measure is not uniquely determined.
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16: 7.22 Methods of Computation
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►The methods available for computing the main functions in this chapter are analogous to those described in §§6.18(i)–6.18(iv) for the exponential integral and sine and cosine integrals, and similar comments apply.
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17: Bibliography Y
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-squared discretizations of the continuum: Radial kinetic energy and the Coulomb Hamiltonian.
Phys. Rev. A 11 (4), pp. 1144–1156.
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18: 28.30 Expansions in Series of Eigenfunctions
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►For analogous results to those of §28.19, see Schäfke (1960, 1961b), and Meixner et al. (1980, §1.1.11).
19: Bille C. Carlson
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►In Permutation symmetry for theta functions (2011) he found an analogous hidden symmetry between theta functions.
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20: 6.4 Analytic Continuation
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6.4.4
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