Special Functions by Hans J. Haubold & A.M. Mathai
Special Functions - Table of Contents
- 1. Approach of Complexity in Nature. Entropic Nonuniqueness
- 2. Fractional Poisson Process and Discretized Stable Subordinator
- 3. Pathway Idea in Statistical and Physical Sciences
- 4. Entropy Production Rate of Alpha-Fractional Diffusion
- 5. On the q-Laplace Transform and Related Special Functions
- 6. Solution of Non-Integer Ordinary and Evolution-Type Equations
- 7. Hyperbolic Heat Conduction Equations
- 8. Fractional Integration and Differentiation of Generalized Mathieu Series
- 9. Evaluation of ARFIMA Programs
- 10. Applications of Skew Models Using Generalized Logistic Distribution
- 11. Density Function and Integer Moments of Sample Correlation Coefficient
- 12. Integral Representations of Certain G-Functions
- 13. Elliptic and Hyperbolic Modular Functions
- 14. Some Aspects of Extended Kinetic Equation
- 15. Generalized Gamma Mittag–Leffler Model
- 16. Generalized Gamma Bessel Model via Fractional Calculus
- 17. Multivariate Extended Gamma Distribution
- 18. Scientific Endeavors of A. M. Mathai
What You Will Learn in Special Functions
Special Functions by Hans J. Haubold and A. M. Mathai is a comprehensive mathematical reference designed for graduate students, astrophysicists, and applied mathematicians. Serving as an essential guide for fractional calculus and statistical mechanics, this volume offers a core foundation for special functions mathematical physics problem solving practice.
The book systematically investigates hypergeometric functions, Meijer G-functions, Fox H-functions, Mittag-Leffler functions, and fractional differential equations. By combining analytical rigor with applications in reaction-diffusion systems, Haubold and Mathai enable researchers to execute essential special functions integral transform derivations with clarity and logical precision.
Valued across modern physics and applied mathematics for its thorough treatments and clear derivations, this text remains an vital resource for advanced study. Haubold and Mathai’s structured presentation equips learners with necessary analytical tools for mastering modern special functions principles across contemporary research.
Book Details & Specifications
Title:
Special Functions by Hans J. Haubold & A.M. Mathai
Publisher:
MDPI
Year:
2018
Pages:
304
Type:
PDF
Language:
English
ISBN-10 #:
3038426652
ISBN-13 #:
978-3038426653
License:
CC BY-NC-ND 4.0
Amazon:
Amazon
About the Author: Hans J. Haubold
The author Hans J. Haubold
is a distinguished professor of astrophysics associated with the United Nations Office for Outer Space Affairs, and A. M. Mathai is an emeritus professor of mathematics and statistics at McGill University, celebrated for his pioneering contributions to special functions and fractional calculus.
Together, Haubold and Mathai have authored extensive literature in mathematical physics, providing researchers worldwide with definitive advanced special functions reference guides.
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Special Functions