The need for a new classification of double hypergeometric series
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- by B. C. Carlson PDF
- Proc. Amer. Math. Soc. 56 (1976), 221-224 Request permission
Abstract:
An elementary proof is given of a linear transformation which changes a particular double hypergeometric series of order two into a series of order three. A similar transformation holds for a particular series of arbitrary order in two or more variables. The change in order provides new evidence, the most compelling to date, that the order of such a series is not a fundamental property. This conclusion undermines the accepted classification of hypergeometric series in more than one variable.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 56 (1976), 221-224
- MSC: Primary 33A30
- DOI: https://doi.org/10.1090/S0002-9939-1976-0402138-8
- MathSciNet review: 0402138