A Treatise on Generating Functions, Ellis Horwood Series: Mathematics and Its Applications - Srivastava, Manocha - 1984 () Citation Context ...coherent states. The decomposition of the intelligent states |λ, η
We introduce q -Lauricella matrix functions of three and n -variables. The convergence of these matrix functions is examined for both and cases. The systems of matrix q -difference equations satisfied by these q -Lauricella matrix functions as well as basic Srivastava's triple hypergeometric ...
Special Functions. Cambridge, England: Cambridge University Press, 1999.Exton, H. q-Hypergeometric Functions and Applications. New York: Halstead Press, 1983.Koekoek, R. and Swarttouw, R. F. The Askey-Scheme of Hypergeometric Orthogonal Polynomials and its -Analogue. Delft, Netherlands: Technische...
H. Exton, q-Hypergeometric Functions and Applications (Ellis-Horwood, Chichester, 1983) Google Scholar H. Exton, Basic Sturm-Liouville theory. Rev. Tecn. Fac. Ingr. Univ. Zulia 1, 85–100 (1992) Google Scholar R.A.C. Ferreira, Nontrivial solutions for fractional q-difference boundary ...
[3] Exton H., q-Hypergeometric functions and Applications, Ellis Horwood Limited, Chichester, 1983. [4] Jackson Fitt., Proc. Roy. Soc. Edin., 1908, V.46, 253. [5] Sato H., in: Advanced Studies in Pure Mathematics, Ed. by M.Jimbo, T.Miwa, Acad. Press, New York, 1989. [6]...
Many combinatorial q-series identities are also proven by applying the theory of basic (or q-) hypergeometric functions. Previous article in issue Next article in issueCited by (8) Generalized homogeneous q-difference equations for q-polynomials and their applications to generating functions and ...
Quantum difference operators have an interest role due to their applications in several mathematical areas such as orthogonal polynomials, basic hypergeometric functions, combinatorics, the calculus of variations, mechanics and the theory of relativity. The book by Kac and Cheung [1] covers many of ...
• a multibasic analogue of Gosper’s algorithm, • the q - Zeilberger algorithm, and • an algorithm for finding q - hypergeometric solutions of linear recurrences together with their Maple implementations, which is relevant both to people being interested in symbolic computation and in q ...
The?Inplete?Beta?Functions The?Error?Functions The?Bohr—Mollerup?Theorem 1.2?The?Euler—Mascheroni?Constant?γ 显示全部信息 商品详情 基本信息 书名:zeta函数,q-zeta函数,相伴级数与积分 作者:(加)斯利瓦斯塔瓦(H.M.Srivastava),(韩)催 出版社:哈尔滨工业出版社 ...
The Horn–Karlsson approach to find convergence regions is applied to find convergence regions for triple q-hypergeometric functions. It turns out that the convergence regions are significantly increased in the q-case; just as for q-Appell and q-Lauricella functions, additions are replaced by Ward...