Jacobi’s
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21: 20.2 Definitions and Periodic Properties
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§20.2(i) Fourier Series
…22: 20.15 Tables
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►Tables of Neville’s theta functions , , , (see §20.1) and their logarithmic -derivatives are given in Abramowitz and Stegun (1964, pp. 582–585) to 9D for , where (in radian measure) , and is defined by (20.15.1).
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23: 20.10 Integrals
24: 22.14 Integrals
25: 29.2 Differential Equations
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29.2.5
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26: 18.19 Hahn Class: Definitions
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►The Askey scheme extends the three families of classical OP’s (Jacobi, Laguerre and Hermite) with eight further families of OP’s for which the role of the differentiation operator in the case of the classical OP’s is played by a suitable difference operator.
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27: 18.16 Zeros
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§18.16(ii) Jacobi
►Let , , denote the zeros of as function of with … ►Then … ►Asymptotic Behavior
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…28: Bibliography B
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A cubic counterpart of Jacobi’s identity and the AGM.
Trans. Amer. Math. Soc. 323 (2), pp. 691–701.
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29: 29.14 Orthogonality
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29.14.3
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