Fejér kernel
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1—10 of 34 matching pages
1: 1.15 Summability Methods
2: Bibliography W
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Fast construction of the Fejér and Clenshaw-Curtis quadrature rules.
BIT 46 (1), pp. 195–202.
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On a generalization of the functions x, x, x, x.
Quart. J. Pure Appl. Math. 42, pp. 316–342.
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3: 10.62 Graphs
4: 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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5: 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 …6: 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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7: 10.63 Recurrence Relations and Derivatives
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►Equations (10.63.6) and (10.63.7) also hold when the symbols and in (10.63.5) are replaced throughout by and , respectively.
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§10.63(i) , , ,
… ►8: 12.16 Mathematical Applications
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►PCFs are also used in integral transforms with respect to the parameter, and inversion formulas exist for kernels containing PCFs.
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9: 10.70 Zeros
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10: 13.27 Mathematical Applications
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►The other group elements correspond to integral operators whose kernels can be expressed in terms of Whittaker functions.
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