The multiple gamma function and its q-analogue
نویسندگان
چکیده
منابع مشابه
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. 1 2 MICHITOMO NISHIZAWA
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We give an asymptotic expansion (the higher Stirling formula) and an infinite product representation (the Weierstrass product formula) of the Vignéras multiple gamma function by considering the classical limit of the multiple q-gamma function.
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We give an asymptotic expansion (the higher Stirling formula) and an infinite product representation (the Weierstrass product representation) of the Vignéras multiple gamma functions by considering the classical limit of the multiple q-gamma functions.
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Let p be a fixed odd prime number. Throughout this paper Z, Q, Zp, Qp and Cp will respectively denote the ring of rational integers, the field of rational numbers, the ring p-adic rational integers, the field of p-adic rational numbers and the completion of the algebraic closure of Qp. Let vp be the normalized exponential valuation of Cp such that |p|p = p−vp(p) = p−1. If q ∈ Cp, we normally as...
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Frobenius began the study of representation theory and character theory of the symmetric groups Sn at the turn of the century [4]. In this study, He showed that there is one irreducible representation πλ of Sn corresponding to each partition λ of n and this correspondence gives all of irreducible representations of Sn up to equivalency. After this work, he also began the study of representation...
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ژورنال
عنوان ژورنال: Banach Center Publications
سال: 1997
ISSN: 0137-6934,1730-6299
DOI: 10.4064/-40-1-429-441