Results 61 to 70 of about 43,514 (215)
Solar structure in terms of Gauss' hypergeometric function [PDF]
Astrophysics and Space Science, 1995 Hydrostatic equilibrium and energy conservation determine the conditions in the gravitationally stabilized solar fusion reactor. We assume a matter density distribution varying non-linearly through the central region of the Sun. The analytic solutions of the differential equations of mass conservation, hydrostatic equilibrium, and energy conservation ...
Haubold, H. J., Mathai, A. M.
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Coherent Excitation of a Two-Level Atom driven by a far off-resonant Classical Field: Analytical Solutions [PDF]
, 2010 We present an analytical treatment of coherent excitation of a Two-Level Atom driven by a far-off resonant classical field. A class of pulse envelope is obtained for which this problem is exactly solvable.
A. M. Dykhne +15 more
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DEGENERATE GAUSS HYPERGEOMETRIC FUNCTIONS
Kyushu Journal of Mathematics, 2007 22 ...
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Extended Riemann-Liouville type fractional derivative operator with applications
Open Mathematics, 2017 The main purpose of this paper is to introduce a class of new extended forms of the beta function, Gauss hypergeometric function and Appell-Lauricella hypergeometric functions by means of the modified Bessel function of the third kind.
Agarwal P., Nieto Juan J., Luo M.-J.
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Uniform convergent expansions of the Gauss hypergeometric function in terms of elementary functions
Integral transforms and special functions, 2018 We consider the hypergeometric function for . For , we derive a convergent expansion of in terms of the function and of rational functions of z that is uniformly valid for z in any compact in . When , the expansion also contains a logarithmic term of the
Chelo Ferreira +2 more
semanticscholar +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Constructing a biorthogonal structure from scratch, that is, defining a biorthogonal pair is quite tough. Because here the orthogonality must be established between two different sets. There are four known univariate biorthogonal polynomial sets, suggested by Laguerre, Jacobi, Hermite and Szegő‐Hermite polynomials, in the literature.
Esra Güldoğan Lekesiz
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Advances in Difference Equations, 2018 In this paper, we present further generalizations of the beta function; Riemann–Liouville, Caputo and Kober–Erdelyi fractional operators by using confluent hypergeometric function with six parameters.
Ayşegül Çetinkaya +3 more
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Modeling small‐angle scattering data of porous and/or bicontinuous structures in n dimensions
Journal of Applied Crystallography, EarlyView.A small‐angle scattering fitting function is derived for porous materials with arbitrary fractal dimension. It includes a correlation peak and a power law at higher q.Fractal structures are often observed in small‐angle scattering experiments where a simple power law q−α describes the scattering intensity over many orders of magnitude.
Henrich Frielinghaus
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New Extension of Beta Function and Its Applications
International Journal of Mathematics and Mathematical Sciences, 2018 In the present paper, new type of extension of classical beta function is introduced and its convergence is proved. Further it is used to introduce the extension of Gauss hypergeometric function and confluent hypergeometric functions. Then we study their
Mehar Chand, Hanaa Hachimi, Rekha Rani
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Fortschritte der Physik, Volume 74, Issue 4, April 2026.Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
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