| 书目名称 | Special Functions for Applied Scientists |
| 编辑 | A. M. Mathai,Hans J. Haubold |
| 视频video | |
| 概述 | Provides the required mathematical tools for researchers active in the physical sciences.Presents a full suit of elementary functions for scholars at PhD level.Text and exercises have been class-teste |
| 图书封面 |  |
| 描述 | .Chapter 1 introduces elementary classical special functions. Gamma, beta, psi, zeta functions, hypergeometric functions and the associated special functions, generalizations to Meijer‘s G and Fox‘s H-functions are examined here. Discussion is confined to basic properties and selected applications. Introduction to statistical distribution theory is provided. Some recent extensions of Dirichlet integrals and Dirichlet densities are discussed. A glimpse into multivariable special functions such as Appell‘s functions and Lauricella functions is part of Chapter 1. Special functions as solutions of differential equations are examined. Chapter 2 is devoted to fractional calculus. Fractional integrals and fractional derivatives are discussed. Their applications to reaction-diffusion problems in physics, input-output analysis, and Mittag-Leffler stochastic processes are developed. Chapter 3 deals with q-hyper-geometric or basic hypergeometric functions. Chapter 4 covers basic hypergeometric functions and Ramanujan‘s work on elliptic and theta functions. Chapter 5 examines the topic of special functions and Lie groups. Chapters 6 to 9 are devoted to applications of special functions. Applic |
| 出版日期 | Book 2008 |
| 关键词 | Derivative; Hypergeometric function Groups; applications of special functions; astrophysics; calculus; di |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-0-387-75894-7 |
| isbn_softcover | 978-1-4419-2610-4 |
| isbn_ebook | 978-0-387-75894-7 |
| copyright | Springer-Verlag New York 2008 |
发表于 2025-3-21 18:10:11
