Terminating $q$-Kampé de Fériet Series $\Phi^{1:3;\lam}_{1:2;\mu}$ and $\Phi^{2:2;\lam}_{2:1;\mu}$
نویسندگان
چکیده
منابع مشابه
Multiplicate inverse forms of terminating hypergeometric series
The multiplicate form of Gould–Hsu’s inverse series relations enables to investigate the dual relations of the Chu–Vandermonde–Gauß’s, the Pfaff–Saalschütz’s summation theorems and the binomial convolution formula due to Hagen and Rothe. Several identitity and reciprocal relations are thus established for terminating hypergeometric series. By virtue of the duplicate inversions, we establish sev...
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The monomiality principle was introduced (see e.g. [1] and the references therein) in order to derive properties of special polynomials from the corresponding ones holding for monomials. A set of paramount importance in this framework is given by the Hermite-Kampé de Fériet (shortly H-KdF) or Gould-Hopper polynomials [2], [3], [4]. As it is well known, the Hermite-Kampé de Fériet polynomials H ...
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The double hypergeometric Kampé de Fériet series F 0:3 1:1 (1, 1) depends upon 9 complex parameters. We present three cases with 2 relations between those 9 parameters, and show that under these circumstances F 0:3 1:1 (1, 1) can be written as a 4 F 3 (1) series. Some limiting cases of these transformation formulas give rise to new summation results for special F 0:3 1:1 (1, 1)'s. The actual tr...
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ژورنال
عنوان ژورنال: Hiroshima Mathematical Journal
سال: 2012
ISSN: 0018-2079
DOI: 10.32917/hmj/1345467072