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11: 26.5 Lattice Paths: Catalan Numbers
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§26.5(i) Definitions
… ►(Sixty-six equivalent definitions of are given in Stanley (1999, pp. 219–229).) …12: 18.3 Definitions
§18.3 Definitions
… ►Table 18.3.1 provides the traditional definitions of Jacobi, Laguerre, and Hermite polynomials via orthogonality and standardization (§§18.2(i) and 18.2(iii)). … ► …13: 4.1 Special Notation
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►It is assumed the user is familiar with the definitions and properties of elementary functions of real arguments .
The main purpose of the present chapter is to extend these definitions and properties to complex arguments .
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14: 31.5 Solutions Analytic at Three Singularities: Heun Polynomials
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31.5.2
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15: 4.28 Definitions and Periodicity
§4.28 Definitions and Periodicity
…16: 31.14 General Fuchsian Equation
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§31.14(i) Definitions
…17: 6.2 Definitions and Interrelations
§6.2 Definitions and Interrelations
►§6.2(i) Exponential and Logarithmic Integrals
… ►§6.2(ii) Sine and Cosine Integrals
… ►§6.2(iii) Auxiliary Functions
…18: 25.15 Dirichlet -functions
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§25.15(i) Definitions and Basic Properties
►The notation was introduced by Dirichlet (1837) for the meromorphic continuation of the function defined by the series ►
25.15.1
,
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25.15.6
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19: 25.12 Polylogarithms
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►The notation was introduced in Lewin (1981) for a function discussed in Euler (1768) and called the dilogarithm in Hill (1828):
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25.12.1
.
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►For real or complex and the polylogarithm
is defined by
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25.12.10
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►The Fermi–Dirac and Bose–Einstein integrals are defined by
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