Results 41 to 50 of about 21,110 (236)
Symmetry, 2021 Both the theory of differential subordination and its dual, the theory of differential superordination, introduced by Professors Miller and Mocanu are based on reinterpreting certain inequalities for real-valued functions for the case of complex-valued ...
A. Lupaș, G. Oros
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Some Inequalities of Extended Hypergeometric Functions
Mathematics, 2021 Hypergeometric functions and their inequalities have found frequent applications in various fields of mathematical sciences. Motivated by the above, we set up certain inequalities including extended type Gauss hypergeometric function and confluent ...
Shilpi Jain +3 more
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Confluent Hypergeometric Function Irregular Singularities
Journal of Geolocation Geo-information and Geo-intelligence, 2021 The computation of the confluent hypergeometric function irregular singularities is performed in this paper. It is determined that the irregular singularities of the confluent hypergeometric function are exactly the same as those of the exponential ...
I. Progri
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Symmetry, 2021 The operator defined as the fractional integral of confluent hypergeometric function was introduced and studied in previously written papers in view of the classical theory of differential subordination.
A. Lupaș
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A New Class of Extended Hypergeometric Functions Related to Fractional Integration and Transforms
Journal of Mathematics, 2022 The focus of this research is to use a new extended beta function and develop the extensions of Gauss hypergeometric functions and confluent hypergeometric function formulas that are presumed to be new.
Vandana Palsaniya +3 more
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Off-Axis Vortex Beam Propagation through Classical Optical System in Terms of Kummer Confluent Hypergeometric Function [PDF]
Photonics, 2020 The analytical solution for the propagation of the laser beam with optical vortex through the system of lenses is presented. The optical vortex is introduced into the laser beam (described as Gaussian beam) by spiral phase plate.
I. Augustyniak +4 more
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Ural Mathematical Journal, 2017 A formula for the non-elementary integral \(\int e^{\lambda x^\alpha} dx\) where \(\alpha\) is real and greater or equal two, is obtained in terms of the confluent hypergeometric function \(_{1}F_1\) by expanding the integrand as a Taylor series.
Victor Nijimbere
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Derivatives of any Horn-type hypergeometric functions with respect to their parameters
Nuclear Physics B, 2020 We consider the derivatives of Horn hypergeometric functions of any number of variables with respect to their parameters. The derivative of such a function of n variables is expressed as a Horn hypergeometric series of n+1 infinite summations depending ...
Vladimir V. Bytev, Bernd A. Kniehl
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The generalized confluent hypergeometric function
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1992 This article extends the theory of generalized hypergeometric functions of Gelfand and others to those including the case corresponding the classical confluent hypergeometric functions. Let \(Z_{r,n}\) be the set of \(r\times n\) complex matrices of maximal rank.
Kimura, Hironobu +2 more
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Open Physics, 2022 The main aim of this article is to study a new generalizations of the Gauss hypergeometric matrix and confluent hypergeometric matrix functions by using two-parameter Mittag–Leffler matrix function.
Jain Shilpi +4 more
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