Titlebook: Analytical Methods in Applied Mathematics; Edmundo Capelas de Oliveira,José Emílio Maiorino Textbook 2025 The Editor(s) (if applicable) an

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The Method of Separation of Variables,Some solved exercises are discussed step-by-step, among which the one dimensional wave equation. As an application we study the temperatures in a straight circular cylinder, a problem in which the Bessel functions appear naturally. We conclude with a list of proposed exercises; some interesting appl

brachial-plexus

Fractional Calculus,ransform of the Prabhakar function. As an application we study the fractional partial differential equations associated with relaxation and oscillation. We conclude with a list of proposed exercises; Some interesting applications are left to the reader, such as the Christoffel-Darboux formula, all o

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Daniel Kuratomi,Chanho Shin,Vincent G. Duffyby step, concluding with a list of proposed exercises, among which some interesting applications are left to the reader—Legendre equation, harmonic oscillator, Whittaker equation, .-circuit, and the Green function—all of them with the corresponding anwser and/or suggestion.

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https://doi.org/10.1007/978-3-031-49215-0ises; among them, some interesting applications are left to the reader, particularly the ones involving different contours to evaluate real integrals by means of complex functions, all of them with the answer and/or suggestion.

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https://doi.org/10.1007/978-3-031-49215-0heir particular cases. As an application we discuss the so-called projective Laplace equation written in spherical coordinates and the generating function for the Bessel functions. We conclude with a list of proposed exercises; some interesting applications are left to the reader, particularly ones

glucagon

Yannick Zelle,Thibault Grison,Marc Fegeraplace equations in cartesian coordinates. As applications we evaluate some infinite sums. We conclude with a list of proposed exercises; among them, some interesting applications involving Legendre polynomials and Bessel functions are left to the reader, all of them with the correspondint answer an

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How Do NATO Members Define Cyber Operations?rsion problem involving the modified Bromwich contour. As an application we evaluate the Fourier transform of the Dirac delta function and obtain an integral representation for the Bessel function. We conclude with a list of proposed exercises; among them, some interesting applications involving Gre

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Yannick Zelle,Thibault Grison,Marc Fegertion involving an ordinary differential equation and an integral equation. We conclude with a list of proposed exercises; among them, some interesting applications involving the construction of the Green’s function are left to the reader, all of them with the answer and/or suggestion.

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