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Paper
IPM / M / 7311 |
School of Mathematics
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Title: |
Solution to a functional equation and its application to stable and stable-type distributions
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Author(s): |
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G. G. Hamedani
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E. S. Key
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H. Volkmer
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Status: |
Published
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Journal: |
Statist. Probab. Lett.
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Vol.: |
69
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Year: |
2004
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Pages: |
1-9
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Supported by: |
IPM
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Abstract: |
The main result of the paper completely characterizes
all continuous complex-valued functions φ(t) with domain
\mathbbR+ or \mathbbR satisfying
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φ(t)=(φ(a1t))γ1=(φ(a2t))γ2 |
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where a1 ≠ 1, a2 ≠ 1,γ1, γ2 are positive
numbers with irrational [(loga1)/(loga2)].
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