Results 21 to 30 of about 4,172 (287)
Composition and invertibility for a class of generalized functions in the Colombeau's theory [PDF]
, 1998 In this work we define the composite function for a special class of generalized mappings and we study the invertibility for a certain class of generalized functions with real values.UNESP, FEIS, Dept Matemat, BR-15385000 São Paulo, BrazilUNESP, FEIS ...
Villarreal, F.
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Composition for a class of generalized functions in Colombeau's theory [PDF]
, 2001 In Colombeau's theory, given an open subset Ω of ℝn, there is a differential algebra G(Ω) of generalized functions which contains in a natural way the space D′(Ω) of distributions as a vector subspace. There is also a simpler version of the algebra G,(Ω).
Villarreal, F. [UNESP], Villarreal, F.
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Frontiers in Physics, 2018 In this paper, the operators of fractional integration introduced by Marichev-Saigo-Maeda involving Appell's function F3(·) are applied, and several new image formulas of generalized Lommel–Wright function are established.
Ritu Agarwal +4 more
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The Laguerre transform of a convolution product of vector-valued functions.
Математичні Студії, 2021 The Laguerre transform is applied to the convolution product of functions of a real argument (over the time axis) with values in Hilbert spaces.
A. O. Muzychuk
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Extremal properties of extreme and support points of univalent functions with montel normalization [PDF]
, 2008 Let U = {z : vertical bar z vertical bar < 1} be the unit disk. The Montel class, M(a), is the class of functions f (z) = a(1)z + a(2)z(2) +..., which are analytic and univalent in the unit disk and satisfy the conditions f (0) = 0 and f (a) = a, (0 ...
UÇAR, FARUK
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Some formulas for the Appell function F 1 (a, b, b′; c; w, z) [PDF]
, 2012 Some new relations for the Appell function F 1 (a, b, b′; c; w, z) are obtained including differentiation and integration formulas, integral representations, series and recurrence relations. Some integrals are given which can be expressed in terms of F 1
Saad, Nasser (Author) +1 more
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On the Hilbert transform in the framework of generalized functions [PDF]
, 2012 In this paper, a definition of the Hilbert transform operating on Colombeau's temperated generalized functions is given. Similar results to some theorems that hold in the classical theory, or in certain subspaces of Schwartz distributions, have been ...
Aragona, J. +5 more
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The Abel summation of the Kontorovich-Lebedev integral representation [PDF]
Opuscula Mathematica, 2005 A new result on the summation of the Kontorovich–Lebedev integral representation in the sense of Abel mean is given.
Petru A. Cojuhari, Alexander M. Gomilko
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The ridgelet transform of distributions [PDF]
, 2014 We define and study the ridgelet transform of (Lizorkin) distributions.
Pilipović, Stevan +4 more
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The sine integral and the neutrix convolution [PDF]
, 2002 The sine integral Si(lambdax), the cosine integral Ci(lambdax) and the associated functions Si+(lambdax), Si-(lambdax), are defined as locally summable functions on the real line. Some convolutions of these functions and sin (mux), sin(+)(mux) and sin(-)(
Fisher, B, Telci, M
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