Fejér kernel
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11—20 of 34 matching pages
11: 10.69 Uniform Asymptotic Expansions for Large Order
12: 28.10 Integral Equations
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§28.10(i) Equations with Elementary Kernels
… ►§28.10(ii) Equations with Bessel-Function Kernels
…13: 10.65 Power Series
14: 10.68 Modulus and Phase Functions
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►Equations (10.68.8)–(10.68.14) also hold with the symbols , , , and replaced throughout by , , , and , respectively.
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10.68.2
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15: 10.71 Integrals
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16: 18.2 General Orthogonal Polynomials
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Kernel property
… ►Kernel Polynomials
… ►Then the kernel polynomials … ►Poisson kernel
… ►Instances where the Poisson kernel is nonnegative are of special interest, see Ismail (2009, Theorem 4.7.12). …17: 18.18 Sums
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§18.18(vii) Poisson Kernels
►See (18.2.41) for the Poisson kernel in case of general OP’s. ►Laguerre
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… ►For the Poisson kernel of Jacobi polynomials (the Bailey formula) see Bailey (1938). …18: 10.75 Tables
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Abramowitz and Stegun (1964, Chapter 9) tabulates , , , , , , 9–10D; , , , , 9D; modulus and phase functions , , , , , , 6D; , , , , , , 5D.
Zhang and Jin (1996, p. 322) tabulates , , , , , , , , , 7S.
Zhang and Jin (1996, p. 323) tabulates the first real zeros of , , , , , , , , 8D.
19: 10.1 Special Notation
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►The main functions treated in this chapter are the Bessel functions , ; Hankel functions , ; modified Bessel functions , ; spherical Bessel functions , , , ; modified spherical Bessel functions , , ; Kelvin functions , , , .
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