ASYMPTOTICS AND MELLIN-BARNES INTEGRAL PDF
Asymptotics and Mellin-Barnes Integrals, first published in , provides an account of the use and properties of a type of complex integral representation that. The book also fills a gap in the literature on asymptotic analysis and special functions by providing a thorough account of the use of Mellin-Barnes integrals that. Paris, R. B., & Kaminski, D. (). Asymptotics and Mellin-Barnes integrals. ( Encyclopedia of Mathematics and its Applications; No. 85). Cambridge: Cambridge.
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Encyclopedia of Mathematics and its Applications: Description Asymptotics and Mellin-Barnes Integrals, first published inprovides an account of the use and properties of a type of complex integral representation that arises frequently in the study mellin-barnees special functions typically of interest in classical analysis and mathematical physics.
After developing the properties of these integrals, their use in determining the asymptotic behaviour of special functions is detailed.
Although such integrals have a long history, the book’s account includes recent research results in analytic number theory and hyperasymptotics. The book also fills a gap in the literature on asymptotic analysis and special melllin-barnes by providing a thorough account of the use of Mellin-Barnes integrals that is otherwise not available in other standard references on asymptotics.
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Multiple Mellin-Barnes integrals; 8. Application to some special functions. Review quote ‘Asymptotics and Mellin-Barnes integrals by R.
Kaminski is one of the first new, extended texts to be published in English since the recent advances began, and is a mixture of existing and novel techniques and applications. Every university with physical scientists, engineers or mathematicians who use asymptotic expansions should have at least one copy of this book. It is the first book to contain a detailed introduction to hyperasymptotics.
I can highly recommend this book to anyone interested in asymptotics of integrals or in asymptotic methods for special functions.