simple zero
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21—30 of 39 matching pages
21: Bibliography D
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A simple sum formula for Clebsch-Gordan coefficients.
Lett. Math. Phys. 5 (3), pp. 207–211.
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Novel identities for simple
- symbols.
J. Mathematical Phys. 16, pp. 318–319.
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Uniform asymptotic solutions of second-order linear differential equations having a simple pole and a coalescing turning point in the complex plane.
SIAM J. Math. Anal. 25 (2), pp. 322–353.
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Convergent expansions for solutions of linear ordinary differential equations having a simple turning point, with an application to Bessel functions.
Stud. Appl. Math. 107 (3), pp. 293–323.
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Olver’s error bound methods applied to linear ordinary differential equations having a simple turning point.
Anal. Appl. (Singap.) 12 (4), pp. 385–402.
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22: Bibliography N
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Proofs of two conjectures on the real zeros of the cylinder and Airy functions.
SIAM J. Math. Anal. 53 (4), pp. 4328–4349.
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Uniform Asymptotic Approximations of Solutions of Second-order Linear Differential Equations, with a Coalescing Simple Turning Point and Simple Pole.
Ph.D. Thesis, University of Maryland, College Park, MD.
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23: Bibliography Z
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On the Computation of Zeros of Bessel and Bessel-related Functions.
In Proceedings of the Sixth International Colloquium on
Differential Equations (Plovdiv, Bulgaria, 1995), D. Bainov (Ed.),
Utrecht, pp. 409–416.
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Algorithm 985: Simple, Efficient, and Relatively Accurate Approximation for the Evaluation of the Faddeyeva Function.
ACM Trans. Math. Softw. 44 (2), pp. 22:1–22:9.
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Distribution of zeros of Gauss and Kummer hypergeometric functions. A semiclassical approach.
Ann. Numer. Math. 2 (1-4), pp. 457–472.
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24: 8.2 Definitions and Basic Properties
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►When , is an entire function of , and is meromorphic with simple poles at , , with residue .
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►(8.2.9) also holds when is zero or a negative integer, provided that the right-hand side is replaced by its limiting value.
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25: Mathematical Introduction
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complex plane (excluding infinity). | |
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empty sums | zero. |
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is continuous at all points of a simple closed contour in . | |
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26: 10.74 Methods of Computation
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§10.74(vi) Zeros and Associated Values
… ►Real Zeros
… ►Complex Zeros
… ►Multiple Zeros
… ► …27: Bibliography B
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Zeros of generalized Airy functions.
Mathematika 32 (1), pp. 104–117.
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Automatic computation of zeros of Bessel functions and other special functions.
SIAM J. Sci. Comput. 21 (4), pp. 1458–1464.
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Numerical evaluation of the zero-order Hankel transform using Filon quadrature philosophy.
Appl. Math. Lett. 9 (5), pp. 21–26.
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Zero-field susceptibility of the two-dimensional Ising model near
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Phys. Rev. Lett. 31, pp. 1409–1411.
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Asymptotic Expansions for the Coefficient Functions Associated with Linear Second-order Differential Equations: The Simple Pole Case.
In Asymptotic and Computational Analysis (Winnipeg, MB, 1989), R. Wong (Ed.),
Lecture Notes in Pure and Applied Mathematics, Vol. 124, pp. 53–73.
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28: 9.19 Approximations
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•
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Martín et al. (1992) provides two simple formulas for approximating to graphical accuracy, one for , the other for .
29: 28.7 Analytic Continuation of Eigenvalues
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►The normal values are simple roots of the corresponding equations (28.2.21) and (28.2.22).
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►Therefore is irreducible, in the sense that it cannot be decomposed into a product of entire functions that contain its zeros; see Meixner et al. (1980, p. 88).
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30: 3.3 Interpolation
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3.3.6
►where is a simple closed contour in described in the positive rotational sense and enclosing the points .
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►where is given by (3.3.3), and is a simple closed contour in described in the positive rotational sense and enclosing .
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