Generalization of some inequalities for the gamma function.
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Ngoc, Ngo Phuoc Nguyen, Van Vinh, Nguyen, Hien, Pham Thi Thao (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
Shabani, Armend Sh. (2008)
Annales Mathematicae et Informaticae
Youn-Seo Choi (2004)
Acta Arithmetica
Jian-Ping Fang (2016)
Czechoslovak Mathematical Journal
We derive two identities for multiple basic hyper-geometric series associated with the unitary group. In order to get the two identities, we first present two known -exponential operator identities which were established in our earlier paper. From the two identities and combining them with the two -Chu-Vandermonde summations established by Milne, we arrive at our...
Borzov, V.V., Damaskinskii, E.V. (2004)
Journal of Mathematical Sciences (New York)
Joachim Seifert (1997)
Banach Center Publications
Several ways to embed q-deformed versions of the Heisenberg algebra into the classical algebra itself are presented. By combination of those embeddings it becomes possible to transform between q-phase-space and q-oscillator realizations of the q-Heisenberg algebra. Using these embeddings the corresponding Schrödinger equation can be expressed by various difference equations. The solutions for two physically relevant cases are found and expressed as Stieltjes Wigert polynomials.
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