Title of program: RIEMANN ZETA FUNCTION ## Nature of the physical problem The series expansion that gives a good approach to the Catalogue number: ABVJ Fermi-Dirac function F 0(a) in the range al 0 requires the evaluation of the Zeta function f(s) for real argument [1].
Programs for computing the logarithm of the gamma function, and the digamma function, for complex argument
✍ Scribed by K.S. Kölbig
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 392 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0010-4655
No coin nor oath required. For personal study only.
✦ Synopsis
This routine occasionally gives wrong results, a correction GAMMA as part of their program for calculating the has been published in Computer Phys. Commun. 3 (1972) 276. Coulomb phase shift. We note here that Luke [13] has * An earlier version of this program was written by ginary part. This can be achieved by using the relation R. Keyser (CERN).
📜 SIMILAR VOLUMES
We propose a method, based on logarithmic convexity, for producing sharp Ž . Ž . bounds for the ratio ⌫ x q  r⌫ x . As an application, we present an inequality that sharpens and generalizes inequalities due to Gautschi, Chu, Boyd, Lazarevic-Ĺupas ¸, and Kershaw.
Several efficient algorithms for the accurate and fast calculation of the molecular incomplete gamma function Fm(z) with a complex argument z are developed. The complex incomplete gamma function is arising in molecular integrals over the gauge-including atomic orbitals. Two kinds of algorithms are r