Note on bivariate linear interpolation for analytic functions
HTML articles powered by AMS MathViewer
- by Walter Gautschi PDF
- Math. Comp. 13 (1959), 91-96 Request permission
References
- V. N. Faddeeva and N. M. Terent′ev, Tablicy značeniĭ funkcii $w(z)=e^{-z^{2}}(1+\frac {2i}{\sqrt \pi }\int ^z_0e^{t^{2}}dt)$ ot kompleksnogo argumenta, Gosudarstv. Izdat. Tehn.-Teor. Lit., Moscow, 1954 (Russian). MR 0068895 Harvard University, Tables of the function arcsinz, The annals of the Computation Laboratory, v. 40, 1956. K. A. Karpov, Tablicy funkcii $w(z) = {e^{ - {z^2}}}\int _0^z {{e^{{x^2}}}} dx\upsilon$ kompleksnoǐ oblasti, Izdat. Akad. Nauk SSSR, Moscow, 1954.
- K. A. Karpov, Tablitsy funktsii $F(z)=\int ^{z}_{0}e^{x^{2}}dx$ v kompleksnoĭ oblasti, Izdat. Akad. Nauk SSSR, Moscow, 1958 (Russian). Akad. Nauk SSSR; Vyčislitel′nyĭ Centr. Matematičeskie Tablicy. MR 0135247 National Bureau of Standards, Table of the Bessel Functions ${J_0}(z)$ and ${J_1}(z)$ for complex arguments, 2nd ed., Columbia University Press, New York, 1947. National Bureau of Standards, Table of the Bessel Functions ${Y_0}(z)$ and ${Y_1}(z)$ for complex arguments, Columbia University Press, New York, 1950. National Bureau of Standards, Table of the gamma function for complex arguments, Applied Math. Series 34, 1954. National Bureau of Standards, Tables of the exponential integral for complex arguments, Applied Math. Series 51, 1958.
- Herbert Salzer E., Coefficients for polar complex interpolation, J. Math. Physics 29 (1950), 96–104. MR 0036082, DOI 10.1002/sapm195029196
- Herbert E. Salzer, Osculatory interpolation in the complex plane, J. Res. Nat. Bur. Standards 54 (1955), 263–266. MR 0070258, DOI 10.6028/jres.054.029
- Heinz Unger, Lagrange-Hermitische Interpolation im Komplexen, Z. Angew. Math. Phys. 3 (1952), 51–65 (German). MR 47400, DOI 10.1007/bf02080984
Additional Information
- © Copyright 1959 American Mathematical Society
- Journal: Math. Comp. 13 (1959), 91-96
- MSC: Primary 65.00
- DOI: https://doi.org/10.1090/S0025-5718-1959-0105786-6
- MathSciNet review: 0105786