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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: 1984
Tongue: English
Weight: 38 KB
Volume: 35
Category: Article
ISSN: 0010-4655
DOI: 10.1016/s0010-4655(84)82404-2

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✍ K.S. Kölbig 📂 Article 📅 1972 🏛 Elsevier Science 🌐 English ⚖ 392 KB

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

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✍ Alicia Bañuelos; Ricardo Angel Depine 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 262 KB

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✍ Alicia Bañuelos; Ricardo Angel Depine 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 43 KB

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✍ Rothwell, E. J. 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 131 KB

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Logarithmic Convexity and Inequalities for the Gamma Function

✍ Milan Merkle 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 132 KB

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.