terminant function
(0.003 seconds)
1—10 of 33 matching pages
1: 8.22 Mathematical Applications
2: 2.11 Remainder Terms; Stokes Phenomenon
…
►
2.11.10
…
►
2.11.11
…
►
2.11.12
…
►Owing to the factor , that is, in (2.11.13), is uniformly exponentially small compared with .
…
►
…
3: 9.7 Asymptotic Expansions
4: 10.40 Asymptotic Expansions for Large Argument
5: 10.17 Asymptotic Expansions for Large Argument
6: 16.2 Definition and Analytic Properties
…
►Then the series (16.2.1) terminates and the generalized hypergeometric function is a polynomial in .
…
►However, when one or more of the top parameters is a nonpositive integer the series terminates and the generalized hypergeometric function is a polynomial in .
Note that if is the value of the numerically largest that is a nonpositive integer, then the identity
…
7: 34.6 Definition: Symbol
…
►The symbol may also be written as a finite triple sum equivalent to a terminating generalized hypergeometric series of three variables with unit arguments.
…
8: 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.
…
9: 29.15 Fourier Series and Chebyshev Series
…
►When , , the Fourier series (29.6.1) terminates:
…
►When , , the Fourier series (29.6.16) terminates:
…
►When , , the Fourier series (29.6.31) terminates:
…
►When , , the Fourier series (29.6.8) terminates:
…
►When , , the Fourier series (29.6.46) terminates:
…