Book Review: Generalized Hypergeometric Series
نویسندگان
چکیده
منابع مشابه
Generalized basic hypergeometric equations
This paper deals with regular singular generalized q-hypergeometric equations with either “large” or “small” Galois groups. In particular, we consider the fundamental problem of finding appropriate Galoisian substitutes for the usual notion of local monodromy.
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We formulate general principles of building hypergeometric type series from the Jacobi theta functions that generalize the plain and basic hy-pergeometric series. Single and multivariable elliptic hypergeometric series are considered in detail. A characterization theorem for a single variable totally elliptic hypergeometric series is proved.
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The main goal of our survey is to give common characteristics of auxiliary hypergeometric functions (and their generalisations), functions which occur in number-theoretical problems. Originally designed as a tool for solving these problems, the hypergeometric series have become a connecting link between different areas of number theory and mathematics in general. Bibliography: 183 titles.
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Abstract. We compute the inverse of a specific infinite r-dimensional matrix, thus unifying multidimensional matrix inversions recently found by Milne, Lilly, and Bhatnagar. Our inversion is an r-dimensional extension of a matrix inversion previously found by Krattenthaler. We also compute the inverse of another infinite r-dimensional matrix. As applications of our matrix inversions, we derive ...
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1. Department of Infectious and Tropical Diseases, London School of Hygiene and Tropical Medicine, UK 2. Yale University School of Medicine, Department of Epidemiology and Public Health, USA. 3. Department of Microbiology/Immunology, University of Health Sciences/Chicago Medical School, USA 4. Instituto de Biologia Molecular do Parana, Fundação Oswaldo Cruz, Brazil 5. Instituto de Biofisica Car...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1936
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1936-06373-1