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Asymptotics and Special Functions
- F. Olver
- Education
- 1 June 1974
A classic reference, intended for graduate students mathematicians, physicists, and engineers, this book can be used both as the basis for instructional courses and as a reference tool.
NIST Handbook of Mathematical Functions
- F. Olver, D. Lozier, R. F. Boisvert, Charles W. Clark
- Mathematics
- 10 May 2010
TLDR
The asymptotic expansion of bessel functions of large order
- F. Olver
- MathematicsPhilosophical Transactions of the Royal Society…
- 28 December 1954
New expansions are obtained for the functions Iv{yz), ) and their derivatives in terms of elementary functions, and for the functions J v(vz), Yv{vz), H fvz) and their derivatives in terms of Airy…
Introduction to Asymptotics and Special Functions
- F. Olver
- Mathematics
- 28 March 1974
Uniform, exponentially improved, asymptotic expansions for the generalized exponential integral
- F. Olver
- Mathematics
- 1 September 1991
By allowing the number of terms in an asymptotic expansion to depend on the asymptotic variable, it is possible to obtain an error term that is exponentially small as the asymptotic variable tends to…
Second-order linear differential equations with two turning points
- F. Olver
- MathematicsPhilosophical Transactions of the Royal Society…
- 20 March 1975
Differential equations of the form d2w/dx2={u2f(u,a,x)+g(u,a,x)}w are considered for large values of the real parameter u. Here x is a real variable ranging over an open, possibly infinite, interval…
Uniform asymptotic expansions for Weber parabolic cylinder functions of large orders
- F. Olver
- Mathematics
- 1 October 1959
a re sought for la rge values of IILI, which a re uniformly valid wi th respect Lo a rg IL and un restricted va lues of the complex variable t. Two types of expa nsion are found . Those of the first…
Error Bounds for Stationary Phase Approximations
- F. Olver
- Mathematics
- 1 February 1974
An error theory is constructed for the method of stationary phase for integrals of the \[I(x) = \int_a^b {e^{ixp(t)} q(t)dt.} \]Here x is a large real parameter, the function $p(t)$ is real, and…
Handbook for Automatic Computation
- H. Rutishauser, F. L. Bauer, A. Householder, F. Olver, K. Samelson, E. Stiefel
- Computer ScienceComput. J.
- 1960
Digital Library of Mathematical Functions
- D. Lozier, R. F. Boisvert, Charles W. Clark
- Art
- 2003
TLDR
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