Some Asymptotic Formulas and Inequalities About Gamma and Psi Functions Based on Continued Fractions

Some Asymptotic Formulas and Inequalities About Gamma and Psi Functions Based on Continued Fractions In this paper, based on continued fractions, some faster asymptotic formulas of gamma, psi and psi’s derivative functions are given. Then, we provide some relevant inequalities. Finally, in order to demonstrate that our new asymptotic formulas have superiority, some numerical computations are also given. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Results in Mathematics Springer Journals

Some Asymptotic Formulas and Inequalities About Gamma and Psi Functions Based on Continued Fractions

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Publisher
Springer International Publishing
Copyright
Copyright © 2016 by Springer International Publishing
Subject
Mathematics; Mathematics, general
ISSN
1422-6383
eISSN
1420-9012
D.O.I.
10.1007/s00025-016-0629-5
Publisher site
See Article on Publisher Site

Abstract

In this paper, based on continued fractions, some faster asymptotic formulas of gamma, psi and psi’s derivative functions are given. Then, we provide some relevant inequalities. Finally, in order to demonstrate that our new asymptotic formulas have superiority, some numerical computations are also given.

Journal

Results in MathematicsSpringer Journals

Published: Nov 29, 2016

References

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