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Integral representation of generalized grey Brownian motion. [PDF]
Stochastics (Abingdon), 2019 In this paper we investigate the representation of a class of non Gaussian processes, namely generalized grey Brownian motion, in terms of a weighted integral of a stochastic process which is a solution of a certain stochastic differential equation.
Bock W, Desmettre S, da Silva JL.
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An Integral Representation of the Logarithmic Function with Applications in Information Theory [PDF]
Entropy, 2019 We explore a well-known integral representation of the logarithmic function, and demonstrate its usefulness in obtaining compact, easily computable exact formulas for quantities that involve expectations and higher moments of the logarithm of a positive ...
Neri Merhav, Igal Sason
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Representation and stability of distributed order resolvent families
AIMS Mathematics, 2022 We consider the resolvent family of the following abstract Cauchy problem (1.1) with distributed order Caputo derivative, where A is a closed operator with dense domain and satisfies some further conditions.
Chen-Yu Li
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On the two variables κ-Appell hypergeometric matrix functions
Applied Mathematics in Science and Engineering, 2023 This work aims to introduce [Formula: see text]-Appell hypergeometric matrix functions [Formula: see text] and [Formula: see text], where [Formula: see text].
Muneera Abdullah Qadha +2 more
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Incomplete exponential type of R-matrix functions and their properties
AIMS Mathematics, 2023 In the present paper, we establish the incomplete exponential type (IEF) of $ R $-matrix functions and identify some properties of the incomplete exponential matrix functions including integral representation, some derivative formula and generating ...
Ahmed Bakhet , Mohra Zayed
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Mathematics, 2022 Given real parameters a,b,c and integer shifts n1,n2,m, we consider the ratio R(z)=2F1(a+n1,b+n2;c+m;z)/2F1(a,b;c;z) of the Gauss hypergeometric functions.
Alexander Dyachenko, Dmitrii Karp
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Some connections between various subclasses of univalent functions involving Pascal distribution series [PDF]
Journal of Mahani Mathematical Research, 2022 The main object of this paper is to define a new class of univalent functions and two subclasses of this class along with the Pascal distribution associated with convolution and subordination structures. We obtained a number of useful properties such as,
Rohollah Valizadeh +3 more
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Fractal and Fractional, 2021 In the present paper, first we obtain sufficient conditions for the existence and uniqueness of the solution of the Cauchy problem for an inhomogeneous neutral linear fractional differential system with distributed delays (even in the neutral part) and ...
Hristo Kiskinov +3 more
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Some Relations on the rRs(P,Q,z) Matrix Function
Axioms, 2023 In this paper, we derive some classical and fractional properties of the rRs matrix function by using the Hilfer fractional operator. The theory of special matrix functions is the theory of those matrices that correspond to special matrix functions such ...
Ayman Shehata +2 more
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Integral Representations of a Generalized Linear Hermite Functional
Mathematics, 2023 In this paper, we find new integral representations for the generalized Hermite linear functional in the real line and the complex plane. As an application, new integral representations for the Euler Gamma function are given.
Roberto S. Costas-Santos
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