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Theory of Fundamental Bessel Functions of High Rank

In this article, the author studies fundamental Bessel functions for $mathrm{GL}_n(mathbb F)$ arising from the Voronoi summation formula;

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Bessel Functions and Their Applications

Bessel functions are associated with a wide range of problems in important areas of mathematical physics. Bessel function theory is applied;

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Bessel Functions and Their Applications

Bessel functions are associated with a wide range of problems in important areas of mathematical physics. Bessel function theory is applied;

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Integrals of Bessel Functions

Integrals of Bessel Functions concerns definite and indefinite integrals, the evaluation of which is necessary to numerous applied problems;

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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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Series of Bessel and Kummer-Type Functions

This book is devoted to the study of certain integral representations for Neumann, Kapteyn, Schloemilch, Dini and Fourier series of Bessel;

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From Bessel to Multi-Index Mittag-Leffler Functions

Bessel and MittagLeffler functions are prominent within mathematical and scientific fields due to increasing interest in non-conventional;

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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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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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Bessel Functions

are discussed in great detail to see how the various functions of the Bessel family enter into the solution of technically important problems;

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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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Vistas Of Special Functions

-function), Bessel functions, an introduction to Fourier analysis, finite Fourier series, Dirichlet L-functions, the rudiments of complex functions;

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Generalized Associated Legendre Functions And Their Applications

, the Bessel, Macdonald, Legendre, Whittaker, Kummer, Tricomi and Wright functions, the generalized hypergeometric functions Fq, Meijer's G;

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Numerical Results

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

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Wavelet Analysis on the Sphere

discusses the construction of wavelet bases using special functions, especially Bessel, Hermite, Tchebychev, and Gegenbauer polynomials.;

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Special Functions for Scientists and Engineers

solution of second-order differential equations in terms of power series; gamma and beta functions; Legendre polynomials and functions; Bessel;

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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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Posn(R) and Eisenstein Series

terms and includes material on special functions, notably gamma and Bessel functions, and focuses on certain mathematical aspects of Eisenstein;

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Mathematics For Quantum Mechanics

-Liouville theory and linear operators on functions, and linear vector spaces. Appendixes offer useful information on Bessel functions and Legendre;

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Special Functions in Physics with MATLAB

: Gamma and Beta functions; Legendre functions, which are linked to quantum mechanics and electrodynamics; Bessel functions; hypergeometric;

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Advances in Dual Integral Equations

kernel. They examine dual integral equations with Bessel, Legendre, and trigonometric functions as kernel plus dual integral equations involving;

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Applied Differential Equations

Applied Differential Equations discusses the Legendre and Bessel Differential equations and its solutions. Various properties of Legendre;

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Graphs of Elementary and Special Functions Handbook

integrals, Bessel functions, orthogonal polynomials, elliptic functions, Mathieu functions, etc). The book contains 760 figures and uses material;

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