The H-Function: Theory and Applications by A.M. Mathai,Ram Kishore Saxena,Hans J. Haubold

By A.M. Mathai,Ram Kishore Saxena,Hans J. Haubold

TheH-function or popularly identified within the literature as Fox’sH-function has lately chanced on functions in a wide number of difficulties hooked up with response, diffusion, reaction–diffusion, engineering and communique, fractional vary- tial and crucial equations, many components of theoretical physics, statistical distribution conception, and so on. one of many typical books and so much mentioned ebook at the subject is the 1978 e-book of Mathai and Saxena. on account that then, the topic has grown much, often within the elds of functions. as a result of well known call for, the authors have been asked to - grade and produce out a revised version of the 1978 ebook. It used to be determined to convey out a brand new e-book, more often than not facing fresh functions in statistical distributions, pa- manner types, nonextensive statistical mechanics, astrophysics difficulties, fractional calculus, and so on. and to use the services of Hans J. Haubold in astrophysics quarter additionally. It used to be determined to con ne the dialogue toH-function of 1 scalar variable basically. Matrix variable instances and plenty of variable circumstances usually are not mentioned intimately, yet an perception into those components is given. while going from one variable to many variables, there's not anything referred to as a distinct bivariate or multivariate analogue of a givenfunction. no matter what be the factors used, there is manydifferentfunctions quali ed to be bivariate or multivariate analogues of a given univariate functionality. the various bivariate and multivariateH-functions, at the moment within the literature, also are wondered by means of many authors.

Show description

Read or Download The H-Function: Theory and Applications PDF

Best functional analysis books

Nonlinear Smoothing and Multiresolution Analysis: 150 (International Series of Numerical Mathematics)

This monograph provides a brand new conception for research, comparisonand layout of nonlinear smoothers, linking to establishedpractices. even supposing part of mathematical morphology, the specialproperties yield many easy, robust and illuminating resultsleading to a singular nonlinear multiresolution research with pulsesthat could be as common to imaginative and prescient as wavelet research is toacoustics.

Local Minimization, Variational Evolution and Γ-Convergence (Lecture Notes in Mathematics)

This booklet addresses new questions with regards to the asymptotic description of converging energies from the perspective of neighborhood minimization and variational evolution. It explores the hyperlinks among Gamma-limits, quasistatic evolution, gradient flows and strong issues, elevating new questions and offering new suggestions.

Upper and Lower Bounds for Stochastic Processes: Modern Methods and Classical Problems (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)

The e-book develops smooth tools and specifically the "generic chaining" to sure stochastic strategies. This equipment permits specifically to get optimum bounds for Gaussian and Bernoulli techniques. purposes are given to reliable strategies, infinitely divisible procedures, matching theorems, the convergence of random Fourier sequence, of orthogonal sequence, and to practical research.

Evolution PDEs with Nonstandard Growth Conditions: Existence, Uniqueness, Localization, Blow-up (Atlantis Studies in Differential Equations)

This monograph bargains the reader a remedy of the speculation of evolution PDEs with nonstandard development stipulations. This category contains parabolic and hyperbolic equations with variable or anisotropic nonlinear constitution. We improve equipment for the learn of such equations and current a close account of modern effects.

Additional resources for The H-Function: Theory and Applications

Example text

Download PDF sample

Rated 4.53 of 5 – based on 28 votes