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chapterNo Access
INEQUALITIES AND TURÁNIANS FOR SOME SPECIAL FUNCTIONS
- A. LAFORGIA and
- P. NATALINI
Difference Equations, Special Functions and Orthogonal Polynomials01 May 2007
Preview Abstract
We use a generalization of the Schwarz inequality to prove Turán-type inequalities for some special functions, such as the polygamma and the Riemann ζ functions. Finally we extend to x > 0 the range of validity of a lower bound for the function , proved by Elbert and Laforgia only for , p > 1. This function is related to gamma and incomplete gamma functions by .

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