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##### 1: Gergő Nemes
In March 2022, Nemes was named Contributing Developer of the NIST Digital Library of Mathematical Functions.
##### 2: Richard B. Paris
2022) was Reader in Mathematics at the University of Abertay Dundee, U. …
##### 3: DLMF Project News
error generating summary
##### 4: Bibliography T
• N.M. Temme and E.J.M. Veling (2022) Asymptotic expansions of Kummer hypergeometric functions with three asymptotic parameters a, b and z. Indagationes Mathematicae.
• N. M. Temme (2022) Asymptotic expansions of Kummer hypergeometric functions for large values of the parameters. Integral Transforms Spec. Funct. 33 (1), pp. 16–31.
• ##### 5: 13.8 Asymptotic Approximations for Large Parameters
These results follow from Temme (2022), which can also be used to obtain more terms in the expansions. For generalizations in which $z$ is also allowed to be large see Temme and Veling (2022).
##### 6: 8.18 Asymptotic Expansions of $I_{x}\left(a,b\right)$
If $b$ and $x$ are fixed, with $b>0$ and $0, then as $a\to\infty$ …for each $n=0,1,2,\dots$. … If $b\to\infty$ and $a$ and $x$ are fixed, with $a>0$ and $0, then (8.18.1), with $a$ and $b$ interchanged and $x$ replaced by $1-x$, can be combined with (8.17.4). … uniformly for $x\in(0,1]$. … uniformly for $b\in(0,\infty)$ and $x\in(0,1)$. …
##### 7: 27.11 Asymptotic Formulas: Partial Sums
Dirichlet’s divisor problem (unsolved as of 2022) is to determine the least number $\theta_{0}$ such that the error term in (27.11.2) is $O\left(x^{\theta}\right)$ for all $\theta>\theta_{0}$. …
##### 8: Bibliography O
• A. M. Ostrowski (1973) Solution of Equations in Euclidean and Banach Spaces. Pure and Applied Mathematics, Vol. 9, Academic Press, New York-London.
##### 10: 27.16 Cryptography
To code a message by this method, we replace each letter by two digits, say $A=01$, $B=02$, $\dots$, $Z=26$, and divide the message into pieces of convenient length smaller than the public value $n=pq$. …