Full length article: q-Extensions of some estimates associated with the digamma function

Authors:
Necdet Batir
Affiliations:
-
Venue:
Journal of Approximation Theory
Year:
2013

Citing 3
Cited 0

Inequalities and monotonicity properties for gamma and q-gamma functions

Proceedings of the conference on Approximation and computation : a fetschrift in honor of Walter Gautschi: a fetschrift in honor of Walter Gautschi
Inequalities for the gamma and q-gamma functions

Journal of Approximation Theory
Full length article: A completely monotonic function involving q-gamma and q-digamma functions

Journal of Approximation Theory

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Abstract

We extend some known inequalities for the digamma function to the q-digamma function. Furthermore, we estimate the unique positive real root of the q-digamma function @j"q.