About the Project
NIST

large degree

AdvancedHelp

(0.001 seconds)

1—10 of 27 matching pages

1: 14.26 Uniform Asymptotic Expansions
§14.26 Uniform Asymptotic Expansions
2: 18.40 Methods of Computation
Usually, however, other methods are more efficient, especially the numerical solution of difference equations (§3.6) and the application of uniform asymptotic expansions (when available) for OP’s of large degree. …
3: Bibliography U
  • F. Ursell (1984) Integrals with a large parameter: Legendre functions of large degree and fixed order. Math. Proc. Cambridge Philos. Soc. 95 (2), pp. 367–380.
  • 4: 14.15 Uniform Asymptotic Approximations
    §14.15(iii) Large ν , Fixed μ
    5: Bibliography T
  • N. M. Temme (1986) Laguerre polynomials: Asymptotics for large degree. Technical report Technical Report AM-R8610, CWI, Amsterdam, The Netherlands.
  • 6: 14.20 Conical (or Mehler) Functions
    §14.20(vii) Asymptotic Approximations: Large τ , Fixed μ
    §14.20(viii) Asymptotic Approximations: Large τ , 0 μ A τ
    7: Bibliography L
  • J. L. López and N. M. Temme (2010b) Large degree asymptotics of generalized Bernoulli and Euler polynomials. J. Math. Anal. Appl. 363 (1), pp. 197–208.
  • 8: 2.10 Sums and Sequences
    Example
    9: 18.26 Wilson Class: Continued
    For asymptotic expansions of Wilson polynomials of large degree see Wilson (1991), and for asymptotic approximations to their largest zeros see Chen and Ismail (1998). …
    10: 10.19 Asymptotic Expansions for Large Order
    §10.19 Asymptotic Expansions for Large Order
    §10.19(i) Asymptotic Forms
    §10.19(ii) Debye’s Expansions
    §10.19(iii) Transition Region
    See also §10.20(i).