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Tables of Mellin Transforms by F. Oberhettinger - Paperback
540.32 AED

Tables of Mellin Transforms by F. Oberhettinger - Paperback

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Category Type
Mathematics
ISBN
9783540069423
Author
F. Oberhettinger
Publisher
Springer
Description:

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 ...

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    Specifications

    Category Type
    Mathematics
    ISBN
    9783540069423
    Languages
    English
    Item EAN
    2724436333539
    People
    Author
    F. Oberhettinger
    Category Type
    Mathematics
    ISBN
    9783540069423
    Languages
    English
    Item EAN
    2724436333539
    People
    Author
    F. Oberhettinger
    People
    Publisher
    Springer
    Technical Information
    Binding
    Paperback
    Languages and countries
    Book Language
    English
    Read more
  •  

    Description:

    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

    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 cents(z) corresponding to a given q, (x) by (a) is known, then cents(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. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    Product Features:
    • Category: Mathematics
    • Binding: Paperback
    • Language of Text: English
    • Author(s): F. Oberhettinger
    • Publisher: Springer
    • ISBN: 9783540069423
    • Number of Pages: 278
    • Dimensions: 9 x 6 x 0.6 inches
 

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