About the Project

limiting values

AdvancedHelp

(0.002 seconds)

1—10 of 88 matching pages

1: 4.31 Special Values and Limits
§4.31 Special Values and Limits
2: 6.16 Mathematical Applications
Hence if x = π / ( 2 n ) and n , then the limiting value of S n ( x ) overshoots 1 4 π by approximately 18%. Similarly if x = π / n , then the limiting value of S n ( x ) undershoots 1 4 π by approximately 10%, and so on. …
3: 14.24 Analytic Continuation
the limiting value being taken in (14.24.1) when 2 ν is an odd integer. … the limiting value being taken in (14.24.4) when μ . …
4: 22.5 Special Values
§22.5(ii) Limiting Values of k
5: 19.6 Special Cases
§19.6 Special Cases
§19.6(v) R C ( x , y )
6: 4.17 Special Values and Limits
§4.17 Special Values and Limits
7: 10.72 Mathematical Applications
In regions in which the function f ( z ) has a simple pole at z = z 0 and ( z z 0 ) 2 g ( z ) is analytic at z = z 0 (the case λ = 1 in §10.72(i)), asymptotic expansions of the solutions w of (10.72.1) for large u can be constructed in terms of Bessel functions and modified Bessel functions of order ± 1 + 4 ρ , where ρ is the limiting value of ( z z 0 ) 2 g ( z ) as z z 0 . …
8: 8.14 Integrals
In (8.14.1) and (8.14.2) limiting values are used when b = 0 . …
9: 10.34 Analytic Continuation
If ν = n ( ) , then limiting values are taken in (10.34.2) and (10.34.4): …
10: 31.9 Orthogonality
The right-hand side may be evaluated at any convenient value, or limiting value, of ζ in ( 0 , 1 ) since it is independent of ζ . …