kernel functions
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31—33 of 33 matching pages
31: Bibliography S
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Evaluation of associated Legendre functions off the cut and parabolic cylinder functions.
Electron. Trans. Numer. Anal. 9, pp. 137–146.
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On the expansion of the parabolic cylinder function in a series of the product of two parabolic cylinder functions.
J. Indian Math. Soc. (N. S.) 3, pp. 226–230.
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Topics in Complex Function Theory. Vol. III: Abelian Functions and Modular Functions of Several Variables.
Interscience Tracts in Pure and Applied Mathematics, No. 25, Wiley-Interscience, [John Wiley & Sons, Inc], New York-London-Sydney.
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Exact error terms in the asymptotic expansion of a class of integral transforms. I. Oscillatory kernels.
SIAM J. Math. Anal. 11 (5), pp. 828–841.
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Automatic computing methods for special functions. IV. Complex error function, Fresnel integrals, and other related functions.
J. Res. Nat. Bur. Standards 86 (6), pp. 661–686.
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32: 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). …33: Errata
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Equations (18.2.12), (18.2.13)
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Paragraph Confluent Hypergeometric Functions (in §10.16)
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Equation (19.25.37)
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Equation (7.2.3)
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►The Handbook of Mathematical Functions was published, and the Digital Library of Mathematical Functions was released.
18.2.12
18.2.13
The left-hand sides were updated to include the definition of the Christoffel–Darboux kernel .
Confluent hypergeometric functions were incorrectly linked to the definitions of the Kummer confluent hypergeometric and parabolic cylinder functions. However, to the eye, the functions appeared correct. The links were corrected.
The Weierstrass zeta function was incorrectly linked to the definition of the Riemann zeta function. However, to the eye, the function appeared correct. The link was corrected.
Originally named as a complementary error function, has been renamed as the Faddeeva (or Faddeyeva) function.