Generalized Functions
Recent developments on the Stieltjes transform of generalized functions
... Stieltjes transforms of ordinary and generalized functions, Real and complex inversion theorems, Kernel and adjolnt methods, Poisson transforms, Laplace transforms, fractional order inte[r] ...
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Stability of quadratic functional equations in generalized functions
... of generalized functions such as S of tempered distributions, F of Fourier hyper- functions and D of ...of generalized functions as ...
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Stieltjes transforms on new generalized functions
... 1. Introduction. Schwartz was the recipient of the prestigious fields Medal in 1950 for his achievement in developing distributional theory. However he did indicate in his paper [5] the impossibility of having a ...
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A Functional Equation of Aczél and Chung in Generalized Functions
... We consider an n-dimensional version of the functional equations of Acz´el and Chung in the spaces of generalized functions such as the Schwartz distributions and Gelfand generalized ...
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Iterated Stieltjes transform of generalized functions
... Our main objective in this paper is to extend the transform 1.4’ to generalized functions, and to prove the inversion formula 1.5 in the distributional sense.. The distributional extensi[r] ...
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Characterization of Hankel transformable generalized functions
... H’ the dual space of H , the generalized Hankel transformation H’f of f was defined by the following generalization of Parseval’s equation f... CHARACTERIZATION OF HANKEL TRANSFORMABLE G[r] ...
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The Meijer transformation of generalized functions
... In 3.1 if ft is a regular generalized function see Remark 2.1 then we obtain the classical Meijer transform.. transform in 3.1 for..[r] ...
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Stability of Trigonometric Functional Equations in Generalized Functions
... u, v, respectively. Now we can apply Lemma 3.6. First assume that 3.29 holds and consider the cases i, ii, iii, and iv of Lemma 3.6. For the case i, it follows from 30, Page 61, Theorem 1 that the initial values u, v of ...
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ON GENERALIZED EIGHTH ORDER MOCK THETA FUNCTIONS
... these generalized functions as q-integral and we have also given the multibasic ...theta functions representation as q-integral and the multibasic expansion for generalized functions ...
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Generating Functions for Generalized Mock Theta Functions
... This paper aims at presenting generating functions for these generalized functions. As a tool we have used simple expansion formula of Srivastava [8]. The generating func- tions can be suitably ...
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Generalized geometrically convex functions and inequalities
... of generalized functions, called generalized geometrically convex ...to generalized geometrically convex ...for generalized geometrically convex ...
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Autoconvolution equations and generalized Mittag-Leffler functions
... the generalized Mittag- Leffler function especially in the theory of frac- tional calculus and detect some of their appli- cations in the physics and ...of generalized fractional derivatives were introduced ...
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Generalized fractional inequalities for quasi convex functions
... upcoming generalized fractional integral operators containing the extended gener- alized Mittag-Leffler function has been used to generalize several fractional integral in- equalities for convex and related ...
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Some certain properties of the generalized hypercubical functions
... HC functions of the mth derivative, we notice a certain regularity in the disposal of coefficients in addition to the polygamma functions (-1, 10, -10, -15, 5, 10, -1; see ...
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Generalized Beta-Convex Functions and Integral Inequalities
... convex functions, which is called generalized beta-convex ...of generalized beta-convex functions includes several other classes of convex ...
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Fractional derivatives of the generalized Mittag Leffler functions
... the generalized MLFs and expanded the fractional derivatives of the generalized ...matrix functions [33] and apply them to fractional-order ...
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6. Extended generalized hypergeometric functions and their applications
... the generalized hypergeometric functions and present some new integral and series representations (including the one obtained by adopting the well-known Ramanujan’s Master ...special functions and ...
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On Interpolation Functions of the Generalized Twisted Euler Polynomials
... In 62, Washington constructed one-variable p-adic-L-function which interpolates gen- eralized classical Bernoulli numbers negative integers. Kim 22 investigated the p-adic analogues of two-variables Euler q-L-function. ...
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On Generalized High Order Derivatives of Nonsmooth Functions
... In this section, we present definitions and results concerning GFD and GSD, which are needed in the remainder of this paper. In order to get this approach some tools from nonsmooth analysis are used, specially ...
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Approximately generalized additive functions in several variables
... Abstract. The goal of this paper is to investigate the solution and stability in random normed spaces, in non–Archimedean spaces and also in p–Banach spaces and finally the stability using the alternative fixed point of ...
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