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Extended Hypergeometric Functions and Orthogonal Polynomials de Praveen Agarwal

Extended Hypergeometric Functions and Orthogonal Polynomials

Editat de Praveen Agarwal, Clemente Cesarano
en Limba Engleză Paperback – feb 2026
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.

• Provides an integrated and up-to-date resource on extended hypergeometric functions, orthogonal polynomials, and multivariable polynomials for researchers, students, and practicing engineers.
• Presents emerging trends, new developments, techniques, and applications in the fields of special
functions and orthogonal polynomials.
• Gives special attention to practical techniques for working with these functions and polynomials, including computational methods and applications to solve real-world problems
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Specificații

ISBN-13: 9780443364846
ISBN-10: 0443364842
Pagini: 314
Dimensiuni: 191 x 235 mm
Greutate: 0.45 kg
Editura: ELSEVIER SCIENCE

Cuprins

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