On a Class of Incomplete Gamma Functions with Applications
Title | On a Class of Incomplete Gamma Functions with Applications PDF eBook |
Author | M. Aslam Chaudhry |
Publisher | CRC Press |
Pages | 515 |
Release | 2001-08-21 |
Genre | Mathematics |
ISBN | 1420036041 |
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
Applications of the Gamma Function and the Incomplete Gamma Function in Statistics
Title | Applications of the Gamma Function and the Incomplete Gamma Function in Statistics PDF eBook |
Author | |
Publisher | |
Pages | 60 |
Release | 1939 |
Genre | |
ISBN |
An Expansion for Laplacian Integrals in Terms of Incomplete Gamma Functions, and Some Applications
Title | An Expansion for Laplacian Integrals in Terms of Incomplete Gamma Functions, and Some Applications PDF eBook |
Author | Edward Charles Dixon Molina |
Publisher | |
Pages | 13 |
Release | 1932 |
Genre | Gamma functions |
ISBN |
Further Rational Approximations for the Incomplete Gamma Functions
Title | Further Rational Approximations for the Incomplete Gamma Functions PDF eBook |
Author | Midwest Research Institute (Kansas City, Mo.) |
Publisher | |
Pages | 190 |
Release | 1963 |
Genre | Gamma functions |
ISBN |
Asymptotics and Special Functions
Title | Asymptotics and Special Functions PDF eBook |
Author | F. W. J. Olver |
Publisher | Academic Press |
Pages | 589 |
Release | 2014-05-10 |
Genre | Mathematics |
ISBN | 148326744X |
Asymptotics and Special Functions provides a comprehensive introduction to two important topics in classical analysis: asymptotics and special functions. The integrals of a real variable and contour integrals are discussed, along with the Liouville-Green approximation and connection formulas for solutions of differential equations. Differential equations with regular singularities are also considered, with emphasis on hypergeometric and Legendre functions. Comprised of 14 chapters, this volume begins with an introduction to the basic concepts and definitions of asymptotic analysis and special functions, followed by a discussion on asymptotic theories of definite integrals containing a parameter. Contour integrals as well as integrals of a real variable are described. Subsequent chapters deal with the analytic theory of ordinary differential equations; differential equations with regular and irregular singularities; sums and sequences; and connection formulas for solutions of differential equations. The book concludes with an evaluation of methods used in estimating (as opposed to bounding) errors in asymptotic approximations and expansions. This monograph is intended for graduate mathematicians, physicists, and engineers.
Calculation of the Incomplete Gamma Function, Suitable for Electronic Computer Application
Title | Calculation of the Incomplete Gamma Function, Suitable for Electronic Computer Application PDF eBook |
Author | PETER R. WINTERS |
Publisher | |
Pages | 1 |
Release | 1957 |
Genre | |
ISBN |
The Gamma and Beta Functions
Title | The Gamma and Beta Functions PDF eBook |
Author | William Edwards Deming |
Publisher | |
Pages | 42 |
Release | 1944 |
Genre | Beta functions |
ISBN |