generators
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11: 24.16 Generalizations
§24.16 Generalizations
… ►For , Bernoulli and Euler polynomials of order are defined respectively by … ► is a polynomial in of degree . … ►§24.16(ii) Character Analogs
… ►§24.16(iii) Other Generalizations
…12: 8.24 Physical Applications
§8.24 Physical Applications
… ►§8.24(iii) Generalized Exponential Integral
… ►With more general values of , supplies fundamental auxiliary functions that are used in the computation of molecular electronic integrals in quantum chemistry (Harris (2002), Shavitt (1963)), and also wave acoustics of overlapping sound beams (Ding (2000)).13: 4.44 Other Applications
§4.44 Other Applications
… ►For applications of generalized exponentials and generalized logarithms to computer arithmetic see §3.1(iv). ►For an application of the Lambert -function to generalized Gaussian noise see Chapeau-Blondeau and Monir (2002). …14: 16.24 Physical Applications
§16.24 Physical Applications
►§16.24(i) Random Walks
►Generalized hypergeometric functions and Appell functions appear in the evaluation of the so-called Watson integrals which characterize the simplest possible lattice walks. … ►§16.24(iii) , , and Symbols
…15: 4.12 Generalized Logarithms and Exponentials
§4.12 Generalized Logarithms and Exponentials
►A generalized exponential function satisfies the equations …Its inverse is called a generalized logarithm. It, too, is strictly increasing when , and … ►For analytic generalized logarithms, see Kneser (1950).16: 14.29 Generalizations
17: 19.35 Other Applications
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