Inequalities generated by the gamma function

  • Authors:

  • Arcadii Z. Grinshpan

  • Affiliations:

  • Department of Mathematics, University of South Florida, Tampa, FL 33620, USA

  • Venue:
  • Advances in Applied Mathematics
  • Year:
  • 2002

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Abstract

We prove sharp inequalities for arbitrary complex vectors and weights generated by the gamma function. Some limiting cases and applications are discussed. They include general combinatorial, exponential, and integral inequalities.