Some Finite Abelian Group Theory and Some $${q}$$ q -Series Identities
نویسندگان
چکیده
منابع مشابه
On q-Operators and Summation of Some q-Series
Using Jackson's q-derivative and the q-Stirling numbers, we establish some transformation theorems leading to the values of some convergent q-series.
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Summation formulae for q-series with independent bases are obtained and used to derive transformation and expansion of q-series involving independent bases.
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In this talk, I shall concentrate on q-series algorithms that have been implemented in computer algebra. This, of course, ignores a variety of other work (including some described in my other talk). However, I believe that computational techniques arising from advances in computer algebra make one of the most important and appealing topics in this subject. There are essentially four topics that...
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Let p be a fixed odd prime number. Throughout this paper, Zp, Qp and Cp will denote the ring of p-adic rational integers, the field of p-adic rational numbers, and the completion of algebraic closure of Qp, respectively. Let N be the set of natural numbers and N = N ∪ {0}. The p-adic norm is normally defined by |p|p = 1/p. As an indeterminate, we assume that q ∈ Cp with |1 − q|p < 1 (see [1-43]...
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In this paper, we investigate some properties for the q-tangent numbers and polynomials. By using these properties, we give some interesting identities on the q-tangent polynomials and Bernstein polynomials. Throughout this paper, let p be a fixed odd prime number. The symbol, Zp, Qp and Cp denote the ring of p-adic integers, the field of p-adic rational numbers and the completion of algebraic ...
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ژورنال
عنوان ژورنال: Annals of Combinatorics
سال: 2016
ISSN: 0218-0006,0219-3094
DOI: 10.1007/s00026-016-0299-8