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11: 10.61 Definitions and Basic Properties

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12: 17.7 Special Cases of Higher ${}_r{}^{}\varphi _s^{}$ Functions

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F. H. Jackson’s Terminating $q$-Analog of Dixon’s Sum

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Andrews’ $q$-Analog of the Terminating Version of Watson’s ${}_3{}^{}F_2^{}$ Sum (16.4.6)

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Andrews’ $q$-Analog of the Terminating Version of Whipple’s ${}_3{}^{}F_2^{}$ Sum (16.4.7)

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13: 6.12 Asymptotic Expansions

… ►If the expansion is terminated at the $n$th term, then the remainder term is bounded by $1+\chi (n+1)$ times the next term. …

14: 10.74 Methods of Computation

… ►In the case of the spherical Bessel functions the explicit formulas given in §§10.49(i) and 10.49(ii) are terminating cases of the asymptotic expansions given in §§10.17(i) and 10.40(i) for the Bessel functions and modified Bessel functions. …

15: 27.12 Asymptotic Formulas: Primes

… ►where the series terminates when the product of the first $r$ primes exceeds $x$. …

16: 34.2 Definition: $\mathit{3}j$ Symbol

… ►For alternative expressions for the $\mathit{3}j$ symbol, written either as a finite sum or as other terminating generalized hypergeometric series ${}_3{}^{}F_2^{}$ of unit argument, see Varshalovich et al. (1988, §§8.21, 8.24–8.26).

17: 34.4 Definition: $\mathit{6}j$ Symbol

… ►For alternative expressions for the $\mathit{6}j$ symbol, written either as a finite sum or as other terminating generalized hypergeometric series ${}_4{}^{}F_3^{}$ of unit argument, see Varshalovich et al. (1988, §§9.2.1, 9.2.3).

18: 18.38 Mathematical Applications

… ►The $3j$ symbol (34.2.6), with an alternative expression as a terminating ${}_3{}^{}F_2^{}$ of unit argument, can be expressed in terms of Hahn polynomials (18.20.5) or, by (18.21.1), dual Hahn polynomials. … ►The $6j$ symbol (34.4.3), with an alternative expression as a terminating balanced ${}_4{}^{}F_3^{}$ of unit argument, can be expressend in terms of Racah polynomials (18.26.3). …

19: 35.8 Generalized Hypergeometric Functions of Matrix Argument

… ►If $-a_j+\frac{1}{2}(k+1)\in \mathbb{N}$ for some $j,k$ satisfying $1\le j\le p$, $1\le k\le m$, then the series expansion (35.8.1) terminates. … ►If $p>q+1$, then (35.8.1) diverges unless it terminates. …

20: 11.9 Lommel Functions

… ►If either of $\mu \pm \nu$ equals an odd positive integer, then the right-hand side of (11.9.9) terminates and represents $S_{\mu ,\nu }\left(z\right)$ exactly. …