Extended Hypergeometric Functions and Orthogonal Polynomials
Will be published approx. on 1. February 2026
Book
Paperback/Softback
350 pages
978-0-443-36484-6 (ISBN)
Description
Extended Hypergeometric Functions and Orthogonal Polynomials presents a comprehensive and accessible resource for researchers and graduate students interested in exploring the rich connections between extended hypergeometric functions, orthogonal polynomials, and multivariable polynomials. Integrating all three fields and their applications in Maple, Mathematica, and MATLAB, this book fosters interdisciplinary understanding and inspires new avenues of research in mathematics, engineering, physics, and computer science. It also provides a glimpse into future research directions in these areas, including potential applications in emerging fields of applied mathematics and interdisciplinary collaborations. Each chapter begins with an introduction, includes sections on theory, followed by sections on applications, and ends with exercises, problems, references and suggested readings.
More details
Language
English
Place of publication
San Diego
United States
Publishing group
Elsevier Science Publishing Co Inc
Target group
Professional and scholarly
Dimensions
Height: 235 mm
Width: 190 mm
Thickness: 19 mm
Weight
664 gr
ISBN-13
978-0-443-36484-6 (9780443364846)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Praveen Agarwal | Clemente Cesarano
Extended Hypergeometric Functions and Orthogonal Polynomials
E-Book
01/2026
Elsevier
€185.99
Available for download
Persons
Dr. Praveen Agarwal is Vice-Principal and Professor at Anand International College of Engineering, Jaipur, India. He is listed as the World's Top 2% Scientist in 2020, 2021, 2022, and 2023, released by Stanford University. In the 2023 ranking of best scientists worldwide announced by Research.com, he ranked 21st at the India level and 2436th worldwide in Mathematics. He is a Managing Editor of Book seriesMathematics for Sustainable Developments, Springer Nature,and Editor ofBook series Mathematical Modelling & Computational Method for Innovation, Taylor & Francis Group.
He published more than 350 papers in international reputed Journals.
Clemente Cesarano is an associate professor of numerical analysis at the UNINETTUNO University, where he coordinates the local mathematics section and the doctoral course in technological innovation engineering. He has carried out teaching and research activities in various Italian and European institutions and universities; he has been a visiting professor in some European universities, including the University of Linz and the Complutense University of Madrid. He is the author of over 200 scientific publications texts and manuals in the field of approximation theory and mathematical analysis. He has participated, also as coordinator, in various national and international funded research projects.
He published more than 350 papers in international reputed Journals.
Clemente Cesarano is an associate professor of numerical analysis at the UNINETTUNO University, where he coordinates the local mathematics section and the doctoral course in technological innovation engineering. He has carried out teaching and research activities in various Italian and European institutions and universities; he has been a visiting professor in some European universities, including the University of Linz and the Complutense University of Madrid. He is the author of over 200 scientific publications texts and manuals in the field of approximation theory and mathematical analysis. He has participated, also as coordinator, in various national and international funded research projects.
Content
Acknowledgment
About The Editor
Introduction
1. Generalized $k$ type-hypergeometric functions as the Meijer G-function
2. Matrix?analogue?of?new?class?of?hypergeometric?function
3. Some extended type hypergeometric functions of two and three variables
4. AN EXTENSION OF k-GAMMA AND k-BETA MATRIX FUNCTION BY USE OF TWO PARAMETER k-MITTAG-LEFFLER FUNCTION
5. $k$-TYPE CAPUTO FRACTIONAL DERIVATIVE OPERATOR AND ITS PROPERTIES
6. AN EXTENSION OF k-HYPERGEOMETRIC FUNCTIONS
7. Certain Pathway Fractional Integral Formulae Involving Extended $k$-Hypergeometric Functions.
8. Certain integral transforms for the k- hypergeometric function
9. Generalized Riemann- Liouville k- fractional derivative and its properties
10. Main Results on U-Bernoulli Korobov-type polynomials and their Approximate Roots
11. Solvability of the Cauchy problem for a fractionally loaded equation with variable coefficients
12. Inverse problem for the loaded heat conductivity equation with variable coefficients
13. Generalized arbitrary order Mittag-Leffler-type function and Marichev-Saigo-Maeda fractional operators
14. Fractional Integration and Differentiation of the Generalized Arbitrary Order Mittag-Leffler-Type Function
15. Generalized Fractional Order Kinetic Equations Involving Multi-Index Mittag-Leffler Function of Several Variables
16. Certain Integrals Involving $k$-type $R$- and $G$-Functions
17. Fractional Integrals and Solution of Fractional Kinetic Equations involving R-and G-Functions
About The Editor
Introduction
1. Generalized $k$ type-hypergeometric functions as the Meijer G-function
2. Matrix?analogue?of?new?class?of?hypergeometric?function
3. Some extended type hypergeometric functions of two and three variables
4. AN EXTENSION OF k-GAMMA AND k-BETA MATRIX FUNCTION BY USE OF TWO PARAMETER k-MITTAG-LEFFLER FUNCTION
5. $k$-TYPE CAPUTO FRACTIONAL DERIVATIVE OPERATOR AND ITS PROPERTIES
6. AN EXTENSION OF k-HYPERGEOMETRIC FUNCTIONS
7. Certain Pathway Fractional Integral Formulae Involving Extended $k$-Hypergeometric Functions.
8. Certain integral transforms for the k- hypergeometric function
9. Generalized Riemann- Liouville k- fractional derivative and its properties
10. Main Results on U-Bernoulli Korobov-type polynomials and their Approximate Roots
11. Solvability of the Cauchy problem for a fractionally loaded equation with variable coefficients
12. Inverse problem for the loaded heat conductivity equation with variable coefficients
13. Generalized arbitrary order Mittag-Leffler-type function and Marichev-Saigo-Maeda fractional operators
14. Fractional Integration and Differentiation of the Generalized Arbitrary Order Mittag-Leffler-Type Function
15. Generalized Fractional Order Kinetic Equations Involving Multi-Index Mittag-Leffler Function of Several Variables
16. Certain Integrals Involving $k$-type $R$- and $G$-Functions
17. Fractional Integrals and Solution of Fractional Kinetic Equations involving R-and G-Functions