On a q-analogue of the multiple gamma functions
Copyright policy )On a q-analogue of the multiple gamma functions
A $q$-analogue of the multiple gamma functions is introduced, and is shown to satisfy the generalized Bohr-Morellup theorem. Furthermore we give some expressions of these function.
8 pages, AMS-Latex
- Waseda University Japan
\(q\)-gamma functions, \(q\)-beta functions and integrals, multiple gamma functions, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Quantum groups and related algebraic methods applied to problems in quantum theory, generalized Bohr-Morellup theorem
\(q\)-gamma functions, \(q\)-beta functions and integrals, multiple gamma functions, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Quantum groups and related algebraic methods applied to problems in quantum theory, generalized Bohr-Morellup theorem
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