03130nam a22004335i 4500 978-0-387-75894-7 DE-He213 20260521091954.0 cr nn 008mamaa 100301s2008 xxu| s |||| 0|eng d 9780387758947 99780387758947 10.1007/978-0-387-75894-7 doi CICY 530.15 23 Mathai, A. M. author. Special Functions for Applied Scientists [recurso electrónico] / by A. M. Mathai, Hans J. Haubold. New York, NY : Springer New York, 2008. online resource. text txt rdacontent computer c rdamedia recurso en línea cr rdacarrier text file PDF rda Basic Ideas of Special Functions and Statistical Distributions -- Mittag-Leffler Functions and Fractional Calculus -- An Introduction to q-Series -- Ramanujan's Theories of Theta and Elliptic Functions -- Lie Group and Special Functions -- Applications to Stochastic Process and Time Series -- Applications to Density Estimation -- Applications to Order Statistics -- Applications to Astrophysics Problems -- An Introduction to Wavelet Analysis -- Jacobians of Matrix Transformations -- Special Functions of Matrix Argument. Special Functions for Applied Scientists provides the required mathematical tools for researchers active in the physical sciences. The book presents a full suit of elementary functions for scholars at the PhD level and covers a wide-array of topics and begins by introducing elementary classical special functions. From there, differential equations and some applications into statistical distribution theory are examined. The fractional calculus chapter covers fractional integrals and fractional derivatives as well as their applications to reaction-diffusion problems in physics, input-output analysis, Mittag-Leffler stochastic processes and related topics. The authors then cover q-hypergeometric functions, Ramanujan's work and Lie groups. The latter half of this volume presents applications into stochastic processes, random variables, Mittag-Leffler processes, density estimation, order statistics, and problems in astrophysics. Professor Dr. A.M. Mathai is Emeritus Professor of Mathematics and Statistics, McGill University, Canada. Professor Dr. Hans J. Haubold is an astrophysicist and chief scientist at the Office of Outer Space Affairs of the United Nations. PHYSICS. MATHEMATICAL PHYSICS. PHYSICS. MATHEMATICAL METHODS IN PHYSICS. THEORETICAL, MATHEMATICAL AND COMPUTATIONAL PHYSICS. ASTROPHYSICS AND ASTROPARTICLES. Haubold, Hans J. author. SpringerLink (Online service) Springer eBooks Printed edition: 9780387758930 http://dx.doi.org/10.1007/978-0-387-75894-7 Ver el texto completo en las instalaciones del CICY ddc ER 34671 34671 0 0 ddc 0 0 LE CICY CICY EL 2025-07-10 0 530.15 2025-07-10 08:40:23 2025-07-10 ER