reflection%20properties%20in%20q
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11: 26.9 Integer Partitions: Restricted Number and Part Size
12: 8 Incomplete Gamma and Related
Functions
13: 28 Mathieu Functions and Hill’s Equation
14: 36.5 Stokes Sets
15: Errata
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.
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.
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).
16: 10.61 Definitions and Basic Properties
§10.61 Definitions and Basic Properties
… ►Most properties of , , , and follow straightforwardly from the above definitions and results given in preceding sections of this chapter. … ►§10.61(iii) Reflection Formulas for Arguments
… ►In particular, … ►§10.61(iv) Reflection Formulas for Orders
…17: 23 Weierstrass Elliptic and Modular
Functions
18: Gergő Nemes
19: Wolter Groenevelt
20: 8.26 Tables
Khamis (1965) tabulates for , to 10D.
Pagurova (1963) tabulates and (with different notation) for , to 7D.
Abramowitz and Stegun (1964, pp. 245–248) tabulates for , to 7D; also for , to 6S.
Pagurova (1961) tabulates for , to 4-9S; for , to 7D; for , to 7S or 7D.
Zhang and Jin (1996, Table 19.1) tabulates for , to 7D or 8S.