The Gamma and Beta Functions
Author: William Edwards Deming
Publisher:
Published: 1944
Total Pages: 42
ISBN-13:
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Integral Evaluations Using the Gamma and Beta Functions and Elliptic Integrals in Engineering
Author: Constantin C. Maican
Publisher:
Published: 2013
Total Pages: 318
ISBN-13: 9781571462626
DOWNLOAD EBOOKSolved Problems in Analysis
Author: Orin J. Farrell
Publisher: Courier Corporation
Published: 2013-11-06
Total Pages: 418
ISBN-13: 0486783081
DOWNLOAD EBOOKNearly 200 problems, each with a detailed, worked-out solution, deal with the properties and applications of the gamma and beta functions, Legendre polynomials, and Bessel functions. 1971 edition.
On a Class of Incomplete Gamma Functions with Applications
Author: M. Aslam Chaudhry
Publisher: CRC Press
Published: 2001-08-21
Total Pages: 515
ISBN-13: 1420036041
DOWNLOAD EBOOKThe 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
The Gamma and Beta Function
Author: Howard Donald Backman
Publisher:
Published: 1960
Total Pages: 76
ISBN-13:
DOWNLOAD EBOOKSpecial Functions in Physics with MATLAB
Author: Wolfgang Schweizer
Publisher: Springer Nature
Published: 2021-03-25
Total Pages: 282
ISBN-13: 3030642321
DOWNLOAD EBOOKThis handbook focuses on special functions in physics in the real and complex domain. It covers more than 170 different functions with additional numerical hints for efficient computation, which are useful to anyone who needs to program with other programming languages as well. The book comes with MATLAB-based programs for each of these functions and a detailed html-based documentation. Some of the explained functions are: Gamma and Beta functions; Legendre functions, which are linked to quantum mechanics and electrodynamics; Bessel functions; hypergeometric functions, which play an important role in mathematical physics; orthogonal polynomials, which are largely used in computational physics; and Riemann zeta functions, which play an important role, e.g., in quantum chaos or string theory. The book’s primary audience are scientists, professionals working in research areas of industries, and advanced students in physics, applied mathematics, and engineering.
Explorations in Complex Functions
Author: Richard Beals
Publisher: Springer Nature
Published: 2020-10-19
Total Pages: 353
ISBN-13: 3030545334
DOWNLOAD EBOOKThis textbook explores a selection of topics in complex analysis. From core material in the mainstream of complex analysis itself, to tools that are widely used in other areas of mathematics, this versatile compilation offers a selection of many different paths. Readers interested in complex analysis will appreciate the unique combination of topics and connections collected in this book. Beginning with a review of the main tools of complex analysis, harmonic analysis, and functional analysis, the authors go on to present multiple different, self-contained avenues to proceed. Chapters on linear fractional transformations, harmonic functions, and elliptic functions offer pathways to hyperbolic geometry, automorphic functions, and an intuitive introduction to the Schwarzian derivative. The gamma, beta, and zeta functions lead into L-functions, while a chapter on entire functions opens pathways to the Riemann hypothesis and Nevanlinna theory. Cauchy transforms give rise to Hilbert and Fourier transforms, with an emphasis on the connection to complex analysis. Valuable additional topics include Riemann surfaces, steepest descent, tauberian theorems, and the Wiener–Hopf method. Showcasing an array of accessible excursions, Explorations in Complex Functions is an ideal companion for graduate students and researchers in analysis and number theory. Instructors will appreciate the many options for constructing a second course in complex analysis that builds on a first course prerequisite; exercises complement the results throughout.
Orthogonal Polynomials
Author: Mama Foupouagnigni
Publisher: Springer Nature
Published: 2020-03-11
Total Pages: 683
ISBN-13: 3030367444
DOWNLOAD EBOOKThis 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.
Inside Interesting Integrals
Author: Paul J. Nahin
Publisher: Springer Nature
Published: 2020-06-27
Total Pages: 542
ISBN-13: 3030437884
DOWNLOAD EBOOKWhat’s the point of calculating definite integrals since you can’t possibly do them all? What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future. This book, now in its second edition, is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus and have just a bit of exposure to the concept of a differential equation. Every result is fully derived. If you are fascinated by definite integrals, then this is a book for you. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion.
Engineering Mathematics - I
Author: Babu Ram
Publisher: Pearson Education India
Published: 2012
Total Pages: 605
ISBN-13: 8131798623
DOWNLOAD EBOOKEngineering Mathematics Volume-I is meant for undergraduate engineering students. Considering the vast coverage of the subject, usually this paper is taught in three to four semesters. The two volumes in Engineering Mathematics by Babu Ram offer a complete solution to these papers.
