symmetries
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41—50 of 52 matching pages
41: 20.7 Identities
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►The symmetry, applicable also to §§20.7(iii) and 20.7(vii), is obtained by modifying traditional theta functions in the manner recommended by Carlson (2011) and used for further purposes by Fukushima (2012).
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42: Bibliography S
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Quantum Chaos, Symmetry and Zeta Functions. Lecture I, Quantum Chaos.
In Current Developments in Mathematics, 1997 (Cambridge, MA), R. Bott (Ed.),
pp. 127–144.
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43: 2.3 Integrals of a Real Variable
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►However, cancellation does not take place near the endpoints, owing to lack of symmetry, nor in the neighborhoods of zeros of because changes relatively slowly at these stationary points.
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44: 18.5 Explicit Representations
45: 18.9 Recurrence Relations and Derivatives
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►and a similar pair to (18.9.5) and (18.9.6) by symmetry; compare the second row in Table 18.6.1.
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46: 18.15 Asymptotic Approximations
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►By using the symmetry property given in the second row of Table 18.6.1, the roles of and can be interchanged.
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47: 18.35 Pollaczek Polynomials
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►There is the symmetry
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48: Bibliography K
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Fractional integral and generalized Stieltjes transforms for hypergeometric functions as transmutation operators.
SIGMA Symmetry Integrability Geom. Methods Appl. 11, pp. Paper 074, 22.
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49: 18.17 Integrals
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►and three formulas similar to (18.17.9)–(18.17.11) by symmetry; compare the second row in Table 18.6.1.
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