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On convergent series representations of mellinbarnes integrals. 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. A new development of the theory of the hypergeometric functions pdf. Mellinbarnes integrals of higher dimension are also considered. Asymptotics and mellinbarnes integrals by paris, r. Asymptotics and mellinbarnes integrals provides an account of the use and properties of a type of complex integral representation that arises frequently in the study of 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. Asymptotics and mellinbarnes integrals provides an account of the use and properties of a type of complex integral representation that arises frequently in the study.
Applications of the mellinbarnes integral representation. Encyclopedia of mathematics and its applications asymptotics. In mathematics, a barnes integral or mellinbarnes integral is a contour integral involving a. Moreover, the mellinbarnes type integrals can be understood as an.
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