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Hypergeometric functions have occupied a significant position in mathematics for over two centuries. This monograph, by one of the foremost experts, is concerned with the Boyarksy principle which expresses the analytic properties of a certain proto-gamma function. The author develops a theory which is broad enough to encompass several of the most important hypergeometric functions in the literature and their cohomology. A central theme is the development of the Laplace transform in this context and its application to spaces of functions associated with hypergeometric functions. Consequently, this book represents a significant further development of the theory and demonstrates how the Boyarksy principle may be given a cohomological interpretation. The author includes an exposition of the relationship between this theory and Gauss sums and generalized Jacobi sums, and explores the theory of duality which throws new light on the theory of exponential sums and confluent hypergeometric functions.
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'The subject is treated from a sophisticated viewpoint appropriate for developing the arithmetic and geometric aspects of the theory of which the author is a renowned exponent. The book is wide ranging ... most interesting and informative, and clearly it is a 'must' for anyone with research interests in this general area of algebraic geometry and number theory.' C.F. Woodcock, London Mathematical Society
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Book Description Clarendon Press, 1990. Condition: New. book. Seller Inventory # M0198535678
Book Description Condition: NEW. 9780198535676 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Seller Inventory # HTANDREE01572867
Book Description Oxford University Press, USA, 1990. Hardcover. Condition: New. Seller Inventory # DADAX0198535678
Book Description Clarendon Press, 1990. Hardcover. Condition: New. 1. Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. Buy with confidence, excellent customer service!. Seller Inventory # 0198535678n
Book Description Oxford Univ Pr on Demand, 1990. Hardcover. Condition: Brand New. 9.75x6.50x0.75 inches. In Stock. Seller Inventory # __0198535678