Fej%C3%A9r%20kernel
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1: 18.42 Software
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►For another listing of Web-accessible software for the functions in this chapter, see GAMS (class C3).
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2: 10.75 Tables
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Achenbach (1986) tabulates , , , , , 20D or 18–20S.
Bickley et al. (1952) tabulates or , or , , (.01 or .1) 10(.1) 20, 8S; , , , or , 10S.
Kerimov and Skorokhodov (1984b) tabulates all zeros of the principal values of and , for , 9S.
Zhang and Jin (1996, p. 322) tabulates , , , , , , , , , 7S.
Zhang and Jin (1996, p. 323) tabulates the first real zeros of , , , , , , , , 8D.
3: 20 Theta Functions
Chapter 20 Theta Functions
…4: 10.62 Graphs
5: 1.15 Summability Methods
6: 10.61 Definitions and Basic Properties
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►When suffices on , , , and are usually suppressed.
►Most properties of , , , and follow straightforwardly from the above definitions and results given in preceding sections of this chapter.
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7: 8 Incomplete Gamma and Related
Functions
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8: 28 Mathieu Functions and Hill’s Equation
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9: 31.10 Integral Equations and Representations
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Kernel Functions
… ►The kernel must satisfy … ►Kernel Functions
… ►The kernel must satisfy … ►leads to the kernel equation …10: 10.67 Asymptotic Expansions for Large Argument
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§10.67(i) , and Derivatives
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10.67.1
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►The contributions of the terms in , , , and on the right-hand sides of (10.67.3), (10.67.4), (10.67.7), and (10.67.8) are exponentially small compared with the other terms, and hence can be neglected in the sense of Poincaré asymptotic expansions (§2.1(iii)).
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10.67.14
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10.67.15
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