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The Gamma Function

2015-01-28 Mathematics
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Release : 2015-01-28
Genre : Mathematics
Kind : eBook
Book Rating : 007/5 ( reviews)

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Book Synopsis The Gamma Function by : Emil Artin

Download or read book The Gamma Function written by Emil Artin. This book was released on 2015-01-28. Available in PDF, EPUB and Kindle. Book excerpt: This brief monograph on the gamma function was designed by the author to fill what he perceived as a gap in the literature of mathematics, which often treated the gamma function in a manner he described as both sketchy and overly complicated. Author Emil Artin, one of the twentieth century's leading mathematicians, wrote in his Preface to this book, "I feel that this monograph will help to show that the gamma function can be thought of as one of the elementary functions, and that all of its basic properties can be established using elementary methods of the calculus." Generations of teachers and students have benefitted from Artin's masterly arguments and precise results. Suitable for advanced undergraduates and graduate students of mathematics, his treatment examines functions, the Euler integrals and the Gauss formula, large values of x and the multiplication formula, the connection with sin x, applications to definite integrals, and other subjects.

The Gamma Function

2017-02
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Release : 2017-02
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Kind : eBook
Book Rating : 863/5 ( reviews)

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Book Synopsis The Gamma Function by : James Bonnar

Download or read book The Gamma Function written by James Bonnar. This book was released on 2017-02. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the subject of the Gamma function and related topics. The Gamma Function is primarily intended for advanced undergraduates in science and mathematics. It is concise yet thorough and covers each of the most important aspects of the Gamma function. The Gamma function has important applications in probability theory, combinatorics and most, if not all, areas of physics. A large number of proofs and derivations of theorems and identities are covered in the book including: Analytic continuation of the factorials, properties via complex analysis, Holder's theorem, the Bohr-Mullerup theorem, the Beta function, Wallis's integrals, Wallis's product, product & reflection formulas, half-integer values, digamma and polygamma functions, series expansions, Euler-Mascheroni integrals, duplication & multiplication formulas, the Gamma and zeta function relationships, Hankel's contour integral representation, Stirling's formula, the Weierstrass factor theorem and the Mittag-Leffler theorem.

The Gamma Function

2015-03-18 Mathematics
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Release : 2015-03-18
Genre : Mathematics
Kind : eBook
Book Rating : 780/5 ( reviews)

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Book Synopsis The Gamma Function by : Emil Artin

Download or read book The Gamma Function written by Emil Artin. This book was released on 2015-03-18. Available in PDF, EPUB and Kindle. Book excerpt: "This brief monograph on the gamma function by a major 20th century mathematician was designed to bridge a gap in the literature of mathematics between incomplete and over-complicated treatments. Topics include functions, the Euler integrals and the Gauss formula, large values of X and the multiplication formula, the connection with sin X applications to definite integrals, and other subjects. "--

On a Class of Incomplete Gamma Functions with Applications

2001-08-21 Mathematics
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Release : 2001-08-21
Genre : Mathematics
Kind : eBook
Book Rating : 041/5 ( reviews)

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Book Synopsis On a Class of Incomplete Gamma Functions with Applications by : M. Aslam Chaudhry

Download or read book On a Class of Incomplete Gamma Functions with Applications written by M. Aslam Chaudhry. This book was released on 2001-08-21. Available in PDF, EPUB and Kindle. Book excerpt: The subject of special functions is rich and expanding continuously with the emergence of new problems encountered in engineering and applied science applications. The development of computational techniques and the rapid growth in computing power have increased the importance of the special functions and their formulae for analytic representations

Orthogonal Polynomials

2020-03-11 Mathematics
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Release : 2020-03-11
Genre : Mathematics
Kind : eBook
Book Rating : 444/5 ( reviews)

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Book Synopsis Orthogonal Polynomials by : Mama Foupouagnigni

Download or read book Orthogonal Polynomials written by Mama Foupouagnigni. This book was released on 2020-03-11. Available in PDF, EPUB and Kindle. Book excerpt: This book presents contributions of international and local experts from the African Institute for Mathematical Sciences (AIMS-Cameroon) and also from other local universities in the domain of orthogonal polynomials and applications. The topics addressed range from univariate to multivariate orthogonal polynomials, from multiple orthogonal polynomials and random matrices to orthogonal polynomials and Painlevé equations. The contributions are based on lectures given at the AIMS-Volkswagen Stiftung Workshop on Introduction of Orthogonal Polynomials and Applications held on October 5–12, 2018 in Douala, Cameroon. This workshop, funded within the framework of the Volkswagen Foundation Initiative "Symposia and Summer Schools", was aimed globally at promoting capacity building in terms of research and training in orthogonal polynomials and applications, discussions and development of new ideas as well as development and enhancement of networking including south-south cooperation.

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