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Tables of Mellin transforms.

Author: Fritz Oberhettinger
Publisher: Berlin, New York, Springer-Verlag, 1974.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This is partially due to the fact that if c(z) corresponding to a given q,(x) by (a) is known, then c(z) belonging to xaq,(x) or more general to P xaq,(x ) (p real) is likewise known. ) A list of  Read more...

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Genre/Form: Tables
Additional Physical Format: Online version:
Oberhettinger, Fritz.
Tables of Mellin transforms.
Berlin, New York, Springer-Verlag, 1974
(OCoLC)764132050
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Fritz Oberhettinger
ISBN: 0387069429 9780387069425 3540069429 9783540069423
OCLC Number: 1031242
Description: 275 pages 24 cm
Contents: I. Mellin Transforms.- Some Applications of the Mellin Transform Analysis.- 1.1 General Formulas.- 1.2 Algebraic Functions and Powers of Arbitrary Order.- 1.3 Exponential Functions.- 1.4 Logarithmic Functions.- 1.5 Trigonometric Functions.- 1.6 Hyperbolic Functions.- 1.7 The Gamma Function and Related Functions.- 1.8 Legendre Functions.- 1.9 Orthogonal Polynomials.- 1.10 Bessel Functions.- 1.11 Modified Bessel Function.- 1.12 Functions Related to Bessel Function.- 1.13 Whittaker Functions and Special Cases.- 1.14 Elliptic Integrals and Elliptic Functions.- 1.15 Hyper geometric Functions.- II. Inverse Mellin Transforms.- 2.1 General Formulas.- 2.2 Algebraic Functions and Powers of Arbitrary Order.- 2.3 Exponential and Logarithmic Functions.- 2.4 Trigonometric and Hyperbolic Functions.- 2.5 The Gamma Function and Related Functions.- 2.6 Orthogonal Polynomials and Legendre Functions.- 2.7 Bessel Functions and Related Functions.- 2.8 Whittaker Functions and Special Cases.

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