Some Useful Integral Representations for Information-Theoretic Analyses [PDF]
Entropy, 2020 This work is an extension of our earlier article, where a well-known integral representation of the logarithmic function was explored and was accompanied with demonstrations of its usefulness in obtaining compact, easily-calculable, exact formulas for ...
Neri Merhav, Igal Sason
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Certain integral representations involving hypergeometric functions in two variables [PDF]
Mathematica Moravica, 2022 Various integral representations of hypergeometric functions have been introduced and investigated due to their important applications in divers fields.
Younis Jihad +3 more
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On Non-Oscillating Integrals for Computing Inhomogeneous Airy Functions [PDF]
, 2000 Integral representations are considered of solutions of the inhomogeneous Airy differential equation $w''-z w=\pm1/\pi$. The solutions of these equations are also known as Scorer functions.
Gil, Amparo +2 more
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Extension of exton's hypergeometric function K16
Cubo, 2021 The purpose of this article is to introduce an extension of Exton's hypergeometric function K16 by using the extended beta function given by Özergin et al. [11].
Ahmed Ali Atash, Maisoon Ahmed Kulib
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Multi-integral representations for Jacobi functions of the first and second kind
Arab Journal of Basic and Applied Sciences, 2023 One may consider the generalization of Jacobi polynomials and the Jacobi function of the second kind to a general function where the degree is allowed to be a complex number instead of a non-negative integer.
Howard S. Cohl, Roberto S. Costas-Santos
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Pseudo-Lucas Functions of Fractional Degree and Applications
Axioms, 2021 In a recent article, the first and second kinds of multivariate Chebyshev polynomials of fractional degree, and the relevant integral repesentations, have been studied. In this article, we introduce the first and second kinds of pseudo-Lucas functions of
Clemente Cesarano +2 more
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SOME PROPERTIES OF HORN TYPE SECOND ORDER DOUBLE HYPERGEOMETRIC SERIES [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2018 Horn [1931, Hypergeometrische Funktionen zweier Veranderlichen, Math. Ann.,105(1), 381-407], (corrections in Borngasser [1933, Uber hypergeometrische funkionen zweier Veranderlichen, Dissertation, Darmstadt], defined and investigated ten second order ...
Anvar Hasanov +2 more
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On the Unique Solvability of Inverse Problems of Magnetometry and Gravimetry
Mathematics, 2023 This article deals with the question of the unique solvability of systems of linear algebraic equations, to the solution of which many inverse problems of geophysics are reduced as a result of discretization when applying the methods of integral ...
Inna Stepanova +4 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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The flow of an incompressible electroconductive fluid past a thin airfoil. The parabolic profile [PDF]
INCAS Bulletin, 2014 We study the two-dimensional steady flow of an ideal incompressible perfectly conducting fluid past an insulating thin parabolic airfoil. We consider the linearized Euler and Maxwell equations and Ohm's law.
Adrian CARABINEANU
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