Handbook of Integral Transforms of Higher Transcendental Functions

Handbook of Integral Transforms of Higher Transcendental Functions PDF Author: Oleg Igorevich Marichev
Publisher: Ellis Horwood
ISBN:
Category : Mathematics
Languages : en
Pages : 344

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Handbook of Integral Transforms of Higher Transcendental Functions

Handbook of Integral Transforms of Higher Transcendental Functions PDF Author: Oleg Igorevich Marichev
Publisher: Ellis Horwood
ISBN:
Category : Mathematics
Languages : en
Pages : 344

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The Generation of Series with Higher Transcendental Functions by Means of Integral Transforms

The Generation of Series with Higher Transcendental Functions by Means of Integral Transforms PDF Author: Kenneth Oakland Gamon
Publisher:
ISBN:
Category : Asymptotic expansions
Languages : en
Pages : 100

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Higher Transcendental Functions

Higher Transcendental Functions PDF Author: Arthur Erdélyi
Publisher:
ISBN: 9780070195462
Category : Transcendental functions
Languages : en
Pages : 396

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The Use Integral Transforms for Obtaining Series Expansions in Terms of Certain Higher Transcendental Functions

The Use Integral Transforms for Obtaining Series Expansions in Terms of Certain Higher Transcendental Functions PDF Author: Fritz Oberhettinger
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Higher Transcendental Functions

Higher Transcendental Functions PDF Author: Bateman Manuscript Project
Publisher:
ISBN: 9780898743364
Category : Functions, Transcendental
Languages : en
Pages : 292

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Handbook of Special Functions

Handbook of Special Functions PDF Author: Yury A. Brychkov
Publisher: CRC Press
ISBN: 158488956X
Category : Mathematics
Languages : en
Pages : 702

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Book Description
Because of the numerous applications involved in this field, the theory of special functions is under permanent development, especially regarding the requirements for modern computer algebra methods. The Handbook of Special Functions provides in-depth coverage of special functions, which are used to help solve many of the most difficult problems in physics, engineering, and mathematics. The book presents new results along with well-known formulas used in many of the most important mathematical methods in order to solve a wide variety of problems. It also discusses formulas of connection and conversion for elementary and special functions, such as hypergeometric and Meijer G functions.

The Use of Integral Transforms for Obtaining Series Expansions in Terms of Certain Higher Transcendental Functions. I. Fourier and Bessel Transforms of Finite Type

The Use of Integral Transforms for Obtaining Series Expansions in Terms of Certain Higher Transcendental Functions. I. Fourier and Bessel Transforms of Finite Type PDF Author: F. OBERHETTINGER
Publisher:
ISBN:
Category :
Languages : en
Pages : 45

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Tables of Integral Transforms

Tables of Integral Transforms PDF Author: Bateman Manuscript Project
Publisher:
ISBN:
Category : Transcendental functions
Languages : en
Pages : 422

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Handbook of Mellin Transforms

Handbook of Mellin Transforms PDF Author: Yu. A. Brychkov
Publisher: CRC Press
ISBN: 0429784430
Category : Mathematics
Languages : en
Pages : 675

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Book Description
The Mellin transformation is widely used in various problems of pure and applied mathematics, in particular, in the theory of differential and integral equations and the theory of Dirichlet series. It is found in extensive applications in mathematical physics, number theory, mathematical statistics, theory of asymptotic expansions, and especially, in the theory of special functions and integral transformations. It is essentially used in algorithms of integration in computer algebra systems. Since the majority of integrals encountered in applications can be reduced to the form of the corresponding Mellin transforms with specific parameters, this handbook can also be used for definite and indefinite integrals. By changes in variables, the Mellin transform can be turned into the Fourier and Laplace transforms. The appendices contain formulas of connection with other integral transformations, and an algorithm for determining regions of convergence of integrals. The Handbook of Mellin Transforms will be of interest and useful to all researchers and engineers who use mathematical methods. It will become the main source of formulas of Mellin transforms, as well as indefinite and definite integrals.