Special Functions by Haubold J Hans

Book Contents :-
1. Approach of Complexity in Nature. Entropic Nonuniqueness 2. On the Fractional Poisson Process and the Discretized Stable Subordinator 3. An Overview of the Pathway Idea and Its Applications in Statistical and Physical Sciences 4. Entropy Production Rate of a One-Dimensional Alpha-Fractional Diffusion Process 5. On the q-Laplace Transform and Related Special Functions 6. Operational Solution of Non-Integer Ordinary and Evolution-Type Partial Differential Equations 7. Operational Approach and Solutions of Hyperbolic Heat Conduction Equations 8. Fractional Integration and Differentiation of the Generalized Mathieu Series 9. An Evaluation of ARFIMA (Autoregressive Fractional Integral Moving Average) Programs 10. Applications of Skew Models Using Generalized Logistic Distribution 11. Closed-Form Representations of the Density Function and Integer Moments of the Sample Correlation Coefficient 12. On Some Integral Representations of Certain G-Functions 13. On Elliptic and Hyperbolic Modular Functions and the Corresponding Gudermann Peeta Functions 14. Some Aspects of Extended Kinetic Equation 15. An Overview of Generalized Gamma Mittag–Leffler Model and Its Applications 16. Limiting Approach to Generalized Gamma Bessel Model via Fractional Calculus and Its Applications in Various Disciplines 17. Multivariate Extended Gamma Distribution 18. Scientific Endeavors of A. M. Mathai. An Appraisal on the Occasion of His Eightieth Birthday

About this book :-
"Special Functions: Fractional Calculus and the Pathway for Entropy" by "Hans J. Haubold" is an advanced mathematics book that explores the theory of special functions and their role in modern scientific problems. The book focuses on how these functions appear in mathematical physics, probability, and applied analysis, offering a bridge between theory and real-world applications. A major theme of the book is the connection between "special functions", "fractional calculus", and entropy-based models. Through research-based chapters, it shows how these mathematical tools are used to describe complex systems in physics and related sciences. The book is available as an "open access" resource, making it useful for researchers, graduate students, and advanced learners interested in "applied mathematics" and analytical methods.

Book Detail :-
Title: Special Functions by Haubold J Hans
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 Author :-
The author Haubold J Hans is a physicist and applied mathematician known for connecting "Applied Mathematics" with "Astrophysics". He has held academic and research roles internationally and worked with scientific institutions linked to space and mathematical sciences. As the author of "Special Functions", Haubold brings practical insight into advanced mathematical tools used in physics and engineering. His work emphasizes "Special Functions" and "Fractional Calculus", making complex methods accessible for scientists and researchers working in applied fields.

Similar Mathematical Analysis Books