elementary identities
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1—10 of 15 matching pages
1: 22.6 Elementary Identities
2: Guide to Searching the DLMF
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3: 18.9 Recurrence Relations and Derivatives
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►Identities similar to (18.9.11) and (18.9.12) involving and can be obtained using rows 4 and 7 in Table 18.6.1.
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4: Bibliography M
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An elementary proof of the Macdonald identities for
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Adv. in Math. 57 (1), pp. 34–70.
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5: 17.17 Physical Applications
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►In exactly solved models in statistical mechanics (Baxter (1981, 1982)) the methods and identities of §17.12 play a substantial role.
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►See Kassel (1995).
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6: 35.7 Gaussian Hypergeometric Function of Matrix Argument
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35.7.2
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35.7.4
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35.7.7
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35.7.11
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►These approximations are in terms of elementary functions.
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7: 18.39 Applications in the Physical Sciences
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18.39.22
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18.39.27
►In what follows the radial and spherical radial eigenfunctions corresponding to (18.39.27) are found in four different notations, with identical eigenvalues, all of which appear in the current and past mathematical and theoretical physics and chemistry literatures, regarding this central problem.
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►which corresponds to the exact results, in terms of Whittaker functions, of §§33.2 and 33.14, in the sense that projections onto the functions , the functions bi-orthogonal to , are identical.
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8: Bibliography S
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On an identity of Ramanujan based on the hypergeometric series
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J. Number Theory 69 (2), pp. 125–134.
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Some identities involving the Riemann zeta function. II.
Indian J. Pure Appl. Math. 17 (10), pp. 1175–1186.
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Efficient multiple-precision evaluation of elementary functions.
Math. Comp. 52 (185), pp. 131–134.
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9: Bibliography R
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Combinatorial Identities.
Robert E. Krieger Publishing Co., Huntington, NY.
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Partial fractions expansions and identities for products of Bessel functions.
J. Math. Phys. 46 (4), pp. 043509–1–043509–18.
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Elementary Number Theory and its Applications.
5th edition, Addison-Wesley, Reading, MA.
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