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New approximations of the gamma function in terms of the digamma function

✍ Scribed by Cristinel Mortici


Book ID
108052501
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
296 KB
Volume
23
Category
Article
ISSN
0893-9659

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πŸ“œ SIMILAR VOLUMES


Infinite family of approximations of the
✍ Isa Muqattash; Mohammed Yahdi πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 184 KB

The aim of this work is to find "good" approximations to the Digamma function Ψ . We construct an infinite family of "basic" functions {I a , a ∈ [0, 1]} covering the Digamma function. These functions are shown to approximate Ψ locally and asymptotically, and it is shown that for any x ∈ R + , there

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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

Transcendental values of the digamma fun
✍ M. Ram Murty; N. Saradha πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 168 KB

Let ψ(x) denote the digamma function, that is, the logarithmic derivative of Euler's -function. Let q be a positive integer greater than 1 and γ denote Euler's constant. We show that all the numbers ψ(a/q) + γ, (a, q) = 1, 1 a q, are transcendental. We also prove that at most one of the numbers γ, ψ