Mathematical Analysis and Applications

doi:10.3390/books978-3-03897-401-7

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Keywords

Apostol-Bernoulli polynomials and numbers; Apostol-Euler polynomials and numbers; Sheffer sequences; Appell sequences; Fibonacci numbers; umbral algebra; p-adic integral; lacunary sequence; statistical convergence; ideal convergence; modulus function; I-statistical convergence; differential subordination; p-valent functions; generalized fractional differintegral operator; potential theory; Brownian motion; Duffin correspondence; harmonic measure; Bessel functions; Monte Carlo simulation; panharmonic measure; walk-on-spheres algorithm; Yukawa equation; quasi-metric space; Hausdorff space; T₁-space; triangle inequalities; generalized hypergeometric series; Gauss and confluent hypergeometric functions; classical summation theorems of hypergeometric functions; exponential operator; differential operator; Guyer–Krumhansl equation; moving media; non–Fourier; heat conduction; Knudsen number; ?-statistical convergence; asymptotic equivalence; set sequences; λ=(λn) sequence; Appell sequence; Appell numbers and polynomials; Bernoulli and Euler polynomials; cosine–Bernoulli and cosine–Euler polynomials; sine–Bernoulli and sine–Euler polynomials; Zika virus; sexual transmission; vertical transmission; sub-optimal control problem; differential evolution; harmonic numbers 11K99; operators 44A99, 47B99; umbral methods 05A40; special functions 33C52, 33C65, 33C99, 33B10, 33B15; Hermite polynomials 33C45; marchaud fractional derivative; interior regularity; schauder estimate; extension problem; fractional order weighted Sobolev spaces; distribution; fractional calculus; Mittag–Leffler function; Abel’s integral equation; convolution; nonlinear oscillatory acoustic vacuum; periodic oscillations; Melnikov function; symmetry; Sheffer polynomials; generating functions; monomiality principle; shift operators; combinatorial analysis; n/a

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Mathematical Analysis and Applications

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January 2019

220 pages

ISBN978-3-03897-400-0 (Paperback)
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https://doi.org/10.3390/books978-3-03897-401-7

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This is a Reprint of the Special Issue Mathematical Analysis and Applications that was published in

Computer Science & Mathematics

Physical Sciences

Summary

Investigations involving the theory and applications of mathematical analytic tools and techniques are remarkably wide-spread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences. In this Special Issue, we invite and welcome review, expository and original research articles dealing with the recent advances in mathematical analysis and its multidisciplinary applications.

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