Quadratic Transformation Formulas for Basic Hypergeometric Series
نویسندگان
چکیده
منابع مشابه
Transformation formulas for multivariable basic hypergeometric series
Abstract. We study multivariable (bilateral) basic hypergeometric series associated with (type A) Macdonald polynomials. We derive several transformation and summation properties for such series, including analogues of Heine’s 2φ1 transformation, the q-Pfaff-Kummer and Euler transformations, the q-Saalschütz summation formula, and Sear’s transformation for terminating, balanced 4φ3 series. For ...
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We introduce the Cauchy augmentation operator for basic hypergeometric series. Heine’s 2φ1 transformation formula and Sears’ 3φ2 transformation formula can be easily obtained by the symmetric property of some parameters in operator identities. The Cauchy operator involves two parameters, and it can be considered as a generalization of the operator T (bDq). Using this operator, we obtain extensi...
متن کامل0 M ar 1 99 8 Transformation formulae for multivariable basic hypergeometric series
We study multivariable (bilateral) basic hypergeometric series associated with (type A) Macdonald polynomials. We derive several transformation and summation properties for such series including analogues of Heine's 2 φ 1 transformation, the q-Pfaff-Kummer and Euler transformations, the q-Saalschütz summation formula and Sear's transformation for terminating, balanced 4 φ 3 series. For bilatera...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1993
ISSN: 0002-9947
DOI: 10.2307/2154269