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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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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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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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Theory of Fundamental Bessel Functions of High Rank

implements and subjects of this study of fundamental Bessel functions are their formal integral representations and Bessel differential equations;

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Bessel Functions and Their Applications

to problems of acoustics, radio physics, hydrodynamics, and atomic and nuclear physics. Bessel Functions and Their Applications consists;

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Bessel Functions and Their Applications

to problems of acoustics, radio physics, hydrodynamics, and atomic and nuclear physics. Bessel Functions and Their Applications consists;

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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

, etc.) Infinite series expansions, recurrence relations, manipulation of expressions involving Bessel functions, orthogonality and expansion;

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Posn(R) and Eisenstein Series

Posn(R) and Eisenstein Series provides an introduction, requiring minimal prerequisites, to the analysis on symmetric spaces of positive;

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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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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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A Treatise on the Theory of Bessel Functions

collection of results of value to mathematicians and physicists, who encounter Bessel functions in the course of their researches. The completeness;

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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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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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Singular Differential Equations and Special Functions

Trajectories and Vibrations, Six-volume Set. As a set they are the fourth volume in the series Mathematics and Physics Applied to Science and;

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Special Functions

series, including Bessel functions and classical orthogonal polynomials, using the basic building block of the gamma function. In addition to;

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Special Functions

series, including Bessel functions and classical orthogonal polynomials, using the basic building block of the gamma function. In addition to;

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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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Handbook Of Mathematical Functions

constants and conversion factors (6 tables); exponential integral and related functions (7); error function and Fresnel integrals (12); Bessel;

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An Introduction to Special Functions

Gauss hypergeometric function, and the Kummer confluent hypergeometric function. Such special functions are indispensable tools in higher;

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Advances in Inequalities for Special Functions

are used to obtain novel and useful bounds for the Bessel function of the first kind, the Beta function, the Zeta function and Mathieu series.;

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Special Functions and Orthogonal Polynomials

contained. Chapter 1 deals with series solutions of Differential Equations. Gamma and Beta functions are studied in Chapter 2 together with other;

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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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Mathematics For The Physical Sciences

include preliminary results in the integral calculus, elementary theory of distributions, convolution, Fourier series and the Fourier transform;

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