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The \(q\)-gamma function for \(q>1\). (English) Zbl 0437.33002


MSC:

33B15 Gamma, beta and polygamma functions
26A51 Convexity of real functions in one variable, generalizations
26D15 Inequalities for sums, series and integrals

Citations:

Zbl 0398.33001
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References:

[1] Artin, E.,The gamma function. Holt, Rinehart and Winston, New York, 1964. · Zbl 0144.06802
[2] Askey, R.,The q-gamma and q-beta functions. Applicable Anal. to appear. · Zbl 0398.33001
[3] Bohr, H. andMollerup, J.,Laerebog Matematisk Analyse, Vol. III, Copenhagen, 1922.
[4] Jackson, F. H.,On q-definite integrals. Quart. J. Pure Appl. Math.41 (1910), 193–203. · JFM 41.0317.04
[5] John, F.,Special solutions of certain difference equations. Acta Math.71 (1939), 175–189. · Zbl 0021.39603
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.