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Inequalities for Euler's gamma function
Published/Copyright:
December 15, 2008
Abstract
We present several new inequalities for the gamma function. One of our results states that the functional inequality
holds for all x, y > 0 if and only if 1 ≤ a ≤ a0, where
This extends the well-known result that Γ is log-convex on (0, ∞).
Received: 2006-03-28
Published Online: 2008-12-15
Published in Print: 2008-November
© de Gruyter 2008
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- Integers without divisors from a fixed arithmetic progression
- Sharp results on the integrability of the derivative of an interpolating Blaschke product
- The Gauss map of pseudo-algebraic minimal surfaces
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Articles in the same Issue
- Inequalities for Euler's gamma function
- Integers without divisors from a fixed arithmetic progression
- Sharp results on the integrability of the derivative of an interpolating Blaschke product
- The Gauss map of pseudo-algebraic minimal surfaces
- Gödel incompleteness in AF C*-algebras
- Quasi-regular Dirichlet forms on Riemannian path and loop spaces
- Divided differences and generalized Taylor series
- A regularity result for a class of degenerate Yang-Mills connections in critical dimensions
