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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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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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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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A treatise on the theory of Bessel functions

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A Treatise on the Theory of Bessel Functions

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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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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 Functions

After presenting the theory in engineers' language without the unfriendly abstraction of pure mathematics, several illustrative examples;

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Generalized Harmonic Analysis and Wavelet Packets

properties. They are fundamental in the complete study of the Bessel harmonic analysis and the Bessel wavelet packets. Many applications of these;

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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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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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Conference On L-functions, The

conference and at the Eigenvariety semester in Harvard University and Weng's detailed account of his works on high rank zeta functions and non;

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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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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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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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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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Advances in Inequalities of the Schwarz, Gruss & Bessel Type in Inner Product Spaces

The theory of Hilbert spaces plays a central role in contemporary mathematics with numerous applications for Linear Operators, Partial;

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Differential and Integral Inequalities

analyzed in this book. Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy-Hadamard;

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Rank-Based Methods for Shrinkage and Selection

Rank-Based Methods for Shrinkage and Selection A practical and hands-on guide to the theory and methodology of statistical estimation based;

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Mathematics For The Physical Sciences

properties. Its examples, drawn from the physical sciences, illustrate the application of concepts. The theory of distributions is introduced early;

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Pseudo Differential Operators & Markov Processes

functions, Lp -sub-Markovian semigroups in their associated Bessel potential spaces, Stein's Littlewood-Paley theory, global properties of Lp-sub;

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Ordinary Differential Equations

of nonlinear differential equations; final chapters are devoted to the study of second--order linear differential equations. The power of the theory;

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A Treatise on Bessel Functions and Their Applications to Physics

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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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Singular Differential Equations and Special Functions

theory, Hill infinite determinants and multiple parametric resonance Details theory of the generalized Bessel differential equation, and of the;

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Modular Forms

The theory of modular forms is a fundamental tool used in many areas of mathematics and physics. It is also a very concrete and fun;

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