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A note on a functional equation

Published online by Cambridge University Press:  09 April 2009

Chung-Ming An
Chung-Ming An
Affiliation:
Department of MathematicsThe Johns Hopkins University Baltimore, Maryland
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The object of this note is to give an aspect to the problem of the functional equation of the generalized gamma function and Dirichlet series which are defined in [1]. In general, we cannot answer the problem yet. But it is worthy to attack this problem for some special cases.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 15 , Issue 4 , June 1973 , pp. 385 - 388
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]An, Chung-ming, On a generalization of gamma function and its application to certain Dirichlet series, Dissertation, (University of Pennsylvania, 1969).CrossRefGoogle Scholar
[2]Siegel, C. L., Lecture on advanced analytic number theory, (Tata Institute of Fundamental Research, Bombay, India, 1961).Google Scholar
[3]Krätzel, Ekkehard, Höhere theta funclionen; I, II. Math. Nachr: 30 (1965), 17–46.CrossRefGoogle Scholar