incomplete%20beta%20functions
(0.005 seconds)
10 matching pages
1: 8.17 Incomplete Beta Functions
…
►
8.17.24
positive integers; .
…
2: 8.26 Tables
…
►
•
…
►
•
…
►
•
§8.26(ii) Incomplete Gamma Functions
►Khamis (1965) tabulates for , to 10D.
Pearson (1965) tabulates the function () for , to 7D, where rounds off to 1 to 7D; also for , to 5D.
§8.26(iii) Incomplete Beta Functions
… ►Zhang and Jin (1996, Table 19.1) tabulates for , to 7D or 8S.
3: Bibliography N
…
►
On an integral transform involving a class of Mathieu functions.
SIAM J. Math. Anal. 20 (6), pp. 1500–1513.
…
►
Uniform asymptotic expansion for the incomplete beta function.
SIGMA Symmetry Integrability Geom. Methods Appl. 12, pp. 101, 5 pages.
…
►
The resurgence properties of the incomplete gamma function II.
Stud. Appl. Math. 135 (1), pp. 86–116.
►
The resurgence properties of the incomplete gamma function, I.
Anal. Appl. (Singap.) 14 (5), pp. 631–677.
…
►
Inequalities and bounds for the incomplete gamma function.
Results Math. 63 (3-4), pp. 1209–1214.
…
4: Bibliography P
…
►
An asymptotic formula for the incomplete gamma function.
Ž. Vyčisl. Mat. i Mat. Fiz. 5, pp. 118–121 (Russian).
…
►
Error bounds for the uniform asymptotic expansion of the incomplete gamma function.
J. Comput. Appl. Math. 147 (1), pp. 215–231.
…
►
Tables of the Incomplete Beta-function.
2nd edition, Published for the Biometrika Trustees at the Cambridge
University Press, Cambridge.
…
►
A note on the computation of the incomplete beta function.
Adv. Eng. Software 12 (1), pp. 39–44.
…
►
Automatic computation of Bessel function integrals.
Comput. Phys. Comm. 25 (3), pp. 289–295.
…
5: Bibliography M
…
►
Rational approximations, software and test methods for sine and cosine integrals.
Numer. Algorithms 12 (3-4), pp. 259–272.
…
►
Algorithm AS 63. The incomplete beta integral.
Appl. Statist. 22 (3), pp. 409–411.
…
►
Calculation of the modified Bessel functions of the second kind with complex argument.
Math. Comp. 20 (95), pp. 407–412.
…
►
The -analogue of the Laguerre polynomials.
J. Math. Anal. Appl. 81 (1), pp. 20–47.
…
►
Algorithm AS 187. Derivatives of the incomplete gamma integral.
Appl. Statist. 31 (3), pp. 330–335.
…
6: Bibliography C
…
►
Asymptotics and closed form of a generalized incomplete gamma function.
J. Comput. Appl. Math. 67 (2), pp. 371–379.
►
Generalized incomplete gamma functions with applications.
J. Comput. Appl. Math. 55 (1), pp. 99–124.
►
On a Class of Incomplete Gamma Functions with Applications.
Chapman & Hall/CRC, Boca Raton, FL.
…
►
Incomplete Hankel and modified Bessel functions: A class of special functions for electromagnetics.
IEEE Trans. Antennas and Propagation 52 (12), pp. 3373–3389.
…
►
Efficient and accurate computation of the incomplete Airy functions.
Radio Science 28 (4), pp. 441–457.
…
7: Bibliography G
…
►
Algorithm 222: Incomplete beta function ratios.
Comm. ACM 7 (3), pp. 143–144.
…
►
Algorithm 542: Incomplete gamma functions.
ACM Trans. Math. Software 5 (4), pp. 482–489.
…
►
Some elementary inequalities relating to the gamma and incomplete gamma function.
J. Math. Phys. 38 (1), pp. 77–81.
…
►
A computational procedure for incomplete gamma functions.
ACM Trans. Math. Software 5 (4), pp. 466–481.
…
►
Algorithm 939: computation of the Marcum Q-function.
ACM Trans. Math. Softw. 40 (3), pp. 20:1–20:21.
…
8: Software Index
…
►
►
►‘✓’ indicates that a software package implements the functions in a section; ‘a’ indicates available functionality through optional or add-on packages; an empty space indicates no known support.
…
►In the list below we identify four main sources of software for computing special functions.
…
►
Commercial Software.
…
►The following are web-based software repositories with significant holdings in the area of special functions.
…
Open Source | With Book | Commercial | |||||||||||||||||||||||
… | |||||||||||||||||||||||||
20 Theta Functions | |||||||||||||||||||||||||
… |
Such software ranges from a collection of reusable software parts (e.g., a library) to fully functional interactive computing environments with an associated computing language. Such software is usually professionally developed, tested, and maintained to high standards. It is available for purchase, often with accompanying updates and consulting support.
9: Bibliography
…
►
Theory of Incomplete Cylindrical Functions and Their Applications.
Springer-Verlag, Berlin.
…
►
A -beta integral on the unit circle and some biorthogonal rational functions.
Proc. Amer. Math. Soc. 121 (2), pp. 553–561.
…
►
Numerical calculation of incomplete gamma functions by the trapezoidal rule.
Numer. Math. 50 (4), pp. 419–428.
…
►
On some inequalities for the incomplete gamma function.
Math. Comp. 66 (218), pp. 771–778.
…
►
Repeated integrals and derivatives of Bessel functions.
SIAM J. Math. Anal. 20 (1), pp. 169–175.
…
10: Bibliography K
…
►
Tables of the Incomplete Gamma Function Ratio: The Chi-square Integral, the Poisson Distribution.
Justus von Liebig Verlag, Darmstadt (German, English).
…
►
Comment on “The incomplete beta function law for parallel tempering sampling of classical canonical systems” [J. Chem. Phys. 120, 4119 (2004)].
J. Chem. Phys. 121 (2), pp. 1167.
…
►
Complex zeros of an incomplete Riemann zeta function and of the incomplete gamma function.
Math. Comp. 24 (111), pp. 679–696.
►
Complex zeros of two incomplete Riemann zeta functions.
Math. Comp. 26 (118), pp. 551–565.
►
On the zeros of the incomplete gamma function.
Math. Comp. 26 (119), pp. 751–755.
…