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A Treatise on the Theory of Bessel Functions

The late Professor G. N. Watson wrote his monumental 1995 treatise on the theory of Bessel functions with two objects in view. The first;

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Theory of Fundamental Bessel Functions of High Rank

for any rank $n$ and field $mathbb F = mathbb R$ or $mathbb C$, with focus on developing their analytic and asymptotic theory. The main;

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Bessel Functions and Their Applications

of two parts. In Part One, the author presents a clear and rigorous introduction to the theory of Bessel functions. Part Two is devoted to the;

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Bessel Functions and Their Applications

of two parts. In Part One, the author presents a clear and rigorous introduction to the theory of Bessel functions. Part Two is devoted to the;

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Series of Bessel and Kummer-Type Functions

students and those in the scientific community who are interested in a new perspective on Fourier-Bessel series, and their manifold and polyvalent;

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Integrals of Bessel Functions

introductory chapter on basic formulas, the treatment advances to indefinite integrals, examining them in terms of Lommel and Bessel functions;

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Bessel Functions

theory are relegated to a last chapter. Perhaps the reader will see how physical ideas are beautifully incorporated into mathematics and vice;

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Special Functions

. This treatise presents an overview of special functions, focusing primarily on hypergeometric functions and the associated hypergeometric;

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Special Functions

. This treatise presents an overview of special functions, focusing primarily on hypergeometric functions and the associated hypergeometric;

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Bessel and Related Functions

This book is written to provide an easy to follow study on the subject of Bessel and Related Functions. It is also written in a way that it;

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Mathematics For Quantum Mechanics

. Emphasizing the unity of a variety of different techniques, it is enduringly relevant to many physical systems outside the domain of quantum theory;

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Wavelet Analysis on the Sphere

The goal of this monograph is to develop the theory of wavelet harmonic analysis on the sphere. By starting with orthogonal polynomials and;

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From Bessel to Multi-Index Mittag-Leffler Functions

a similar convergence behaviour to a power series. Also studied are various properties of the Bessel and MittagLeffler functions and their;

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Special Functions and Orthogonal Polynomials

(308 Pages). This book is written to provide an easy to follow study on the subject of Special Functions and Orthogonal Polynomials. It;

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Fourier Analysis and Its Applications

This book presents the theory and applications of Fourier series and integrals, eigenfunction expansions, and related topics, on a level;

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Introduction to Bessel Functions

in this book a clear, full introduction to the properties and applications of Bessel functions. Students with some calculus and the elements;

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Generalized Associated Legendre Functions And Their Applications

, connection with Jacobi functions, Bessel functions, elliptic integrals and incomplete beta functions.The book also presents the theory;

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Generalized Harmonic Analysis and Wavelet Packets

The book presents a more comprehensive treatment of transmutation operators associated with the Bessel operator, and explores many of their;

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Special Functions in Physics with MATLAB

This handbook focuses on special functions in physics in the real and complex domain. It covers more than 170 different functions with;

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Mathematics For The Physical Sciences

, the Laplace transform, wave and heat conduction equations, the gamma function, and Bessel functions. Prerequisites include a familiarity with;

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Ordinary Differential Equations

A carefully revised edition of the well--respected ODE text, whose unique treatment provides a smooth transition to critical understanding;

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Pseudo Differential Operators & Markov Processes

In this volume two topics are discussed: the construction of Feller and Lp-sub-Markovian semigroups by starting with a pseudo-differential;

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Theoretical Aspects

Bessel functions have the peculiarity of being functions of two independent variables: argument and order. They have been studied;

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