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Found 106 Documents (Results 1–100)

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\((p,q)\)-Rogers-Szegö polynomial and the \((p,q)\)-oscillator. (English) Zbl 1323.33018

Alladi, Krishnaswami (ed.) et al., The legacy of Alladi Ramakrishnan in the mathematical sciences. New York, NY: Springer (ISBN 978-1-4419-6262-1/hbk; 978-1-4419-6263-8/ebook). 491-501 (2010).
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Remarks on \(q\)-CCR relations for \(|q|>1\). (English) Zbl 1140.46323

Bozejko, Marek (ed.) et al., Noncommutative harmonic analysis with applications to probability. Papers presented at the 9th workshop, Bȩdlewo, Poland, September 29–October 10, 2006. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 78, 59-67 (2008).
MSC:  46L53 81S05
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An analog of the Cauchy-Hadamard formula for expansions in \(q\)-polynomials. (English) Zbl 1219.33021

Ismail, Mourad E. H. (ed.) et al., Theory and applications of special functions. A volume dedicated to Mizan Rahman. Papers from the special session of the American Mathematical Society annual meeting held in Baltimore, MD, USA, January 15–18, 2003. New York, NY: Springer (ISBN 0-387-24231-7). Developments in Mathematics 13, 443-460 (2005).
MSC:  33D15
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Fourier-Gauss transforms of \(q\)-exponential and \(q\)-Bessel functions. (English) Zbl 0924.44005

Clarkson, Peter A. (ed.) et al., Symmetries and integrability of difference equations. Proceedings of the 2nd international conference, Canterbury, UK, July 1–5, 1996. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 255, 345-352 (1999).
MSC:  44A20 42A38 33D70
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The factorization method and hierarchies of \(q\)-oscillator Hamiltonians. (English) Zbl 0856.39020

Levi, Decio (ed.) et al., Symmetries and integrability of difference equations. Papers from the workshop, May 22–29, 1994, Estérel, Canada. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 9, 239-251 (1996).
MSC:  39A12 33D90 81R50
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On the number of solutions to the equation \(X^ 2=0\) in triangular matrices over a finite field. (English. Russian original) Zbl 0873.17013

Funct. Anal. Appl. 29, No. 1, 64-68 (1995); translation from Funkts. Anal. Prilozh. 29, No. 1, 82-87 (1995).
MSC:  17B30 15B33
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Symmetries of the \(q\)-difference heat equations and discrete \(q\)-Hermite polynomials. (English) Zbl 0899.39001

Arima, A. (ed.) et al., Yamada conference XL. Proceedings of the XXth international colloquium on group theoretical methods in physics, Toyonaka, Japan, July 4-9, 1994. Singapore: World Scientific. 491-494 (1995).
MSC:  39A10 33D90
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An analog of the Fourier transformation for a \(q\)-harmonic oscillator. (English) Zbl 0863.33020

Gruber, Bruno (ed.), Symmetries in science VI: From the rotation group to quantum algebras. Proceedings of a symposium held in Bregenz, Austria, August 2-7, 1992. New York, NY: Plenum Press. 57-63 (1993).
Reviewer: A.Klimyk (Kiev)
MSC:  33D45 42C15 81R50
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