This book contains tables of integrals of the Mellin transform type z-l J (a) 1> (z) q, (x)x dx o t Since the substitution x = e- transforms (a) into (b) 1> (z) the Mellin transform is sometimes referred to as the two sided Laplace transform. The use of the Mellin transform in various problems in mathematical analysis is well established. Parti- cularly widespread and effective is its application to problems arising in analytic number theory. This is partially due to the fact that if [(z) corresponding to a given q, (x) by ...
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This book contains tables of integrals of the Mellin transform type z-l J (a) 1> (z) q, (x)x dx o t Since the substitution x = e- transforms (a) into (b) 1> (z) the Mellin transform is sometimes referred to as the two sided Laplace transform. The use of the Mellin transform in various problems in mathematical analysis is well established. Parti- cularly widespread and effective is its application to problems arising in analytic number theory. This is partially due to the fact that if [(z) corresponding to a given q, (x) by (a) is known, then [(z) belonging to xaq, (x) or more general to P xaq, (x ) (p real) is likewise known. (See particularly the rules in sections 1. 1 and 2. 1 of this book. ) A list of major contributions conce ning Mellin trans- forms is added at the end of the introduction. Latin letters (unless otherwise stated) denote real positive numbers while Greek letters denote complex parameters within the given range of validity. The author is indebted to Mrs. Jolan Eross for her tireless effort and patience while typing this manuscript. Oregon State University Corvallis, Oregon May 1974 Fritz Oberhettinger Contents Part I. Mellin Transforms Introduction. . . - . - - - . - . . . . . . . . . . . . - - - - . . . - . - . . - - - . - . 1 Some Applications of the Mellin Transform Analysis. --. ---. . . -. -. . . . -- . - . . . . . . --. . . . . -- 6 1. 1 General Formulas. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1. 2 Algebraic Functions and Powers of Arbitrary Order . . . 13 1. 3 Exponential Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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Add this copy of Tables of Mellin Transforms to cart. $75.00, good condition, Sold by Second Story Books rated 4.0 out of 5 stars, ships from Rockville, MD, UNITED STATES, published 1974 by Springer-Verlag.
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Book. Octavo, 275 pages. In Good condition. Spine is yellow with black print. Light edge wear. Text block has spotting to top edge. NOTE: Shelved in Netdesk Column R (ND-R). 1372645. FP New Rockville Stock.
Add this copy of Tables of Mellin Transforms to cart. $88.38, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1974 by Springer.
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Add this copy of Tables of Mellin Transforms to cart. $100.44, good condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1970 by Springer.
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This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In good all round condition. Re-bound by library. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 600grams, ISBN: 3540069429.
Add this copy of Tables of Mellin Transforms to cart. $112.04, new condition, Sold by Ria Christie Books rated 4.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 1974 by Springer.
