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31—37 of 37 matching pages

31: 36.5 Stokes Sets
One of the sheets is symmetrical under reflection in the plane y = 0 , and is given by …
32: 18.16 Zeros
In view of the reflection formula, given in Table 18.6.1, we may consider just the positive zeros x n , m , m = 1 , 2 , , 1 2 n . …
33: 26.12 Plane Partitions
A plane partition is transpose complement if it is equal to the reflection through the ( x , y ) -plane of its complement. …
34: 10.68 Modulus and Phase Functions
35: 18.33 Polynomials Orthogonal on the Unit Circle
The Verblunsky coefficients (also called Schur parameters or reflection coefficients) are the coefficients α n in the Szegő recurrence relations
36: 10.75 Tables
  • MacDonald (1989) tabulates the first 30 zeros, in ascending order of absolute value in the fourth quadrant, of the function J 0 ( z ) i J 1 ( z ) , 6D. (Other zeros of this function can be obtained by reflection in the imaginary axis).

  • 37: Errata
  • Section 3.1

    In ¶IEEE Standard (in §3.1(i)), the description was modified to reflect the most recent IEEE 754-2019 Floating-Point Arithmetic Standard IEEE (2019). In the new standard, single, double and quad floating-point precisions are replaced with new standard names of binary32, binary64 and binary128. Figure 3.1.1 has been expanded to include the binary128 floating-point memory positions and the caption has been updated using the terminology of the 2019 standard. A sentence at the end of Subsection 3.1(ii) has been added referring readers to the IEEE Standards for Interval Arithmetic IEEE (2015, 2018).

    Suggested by Nicola Torracca.

  • Chapter 25 Zeta and Related Functions

    A number of additions and changes have been made to the metadata to reflect new and changed references as well as to how some equations have been derived.

  • References

    An addition was made to the Software Index to reflect a multiple precision (MP) package written in C++ which uses a variety of different MP interfaces. See Kormanyos (2011).