Results 11 to 20 of about 5,426,135 (190)
Hypergeometric Series, Truncated Hypergeometric Series, and Gaussian Hypergeometric Functions [PDF]
, 2016 25 ...
Deines, Alyson +4 more
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Univalence of Gaussian and confluent hypergeometric functions [PDF]
Proceedings of the American Mathematical Society, 1990 Conditions are determined for the univalence convexity and starlikeness of Gaussian and confluent hypergeometric functions. In addition, subordination results are obtained for these classes of functions.
Miller, Sanford S., Mocanu, Petru T.
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On the adelic Gaussian hypergeometric function [PDF]
We define the adelic hypergeometric function of special Gaussian type by means of a tower of hypergeometric curves. This function takes values in an adelic completed group ring and interpolates all the hypergeometric functions of the same type over all finite fields. It specializes at the unit argument to the adelic beta function of Ihara and Anderson.
Asakura, Masanori, Otsubo, Noriyuki
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Precise Estimates for Differences of the Gaussian Hypergeometric Function [PDF]
Journal of Mathematical Analysis and Applications, 1997 For given \(a,b,c,d\in (0,\infty)\), \(a\leq b\), and \(c< d\), the authors study the problem of comparing the Gaussian hypergeometric functions \(F(a,b; a+b; 1-x^c)\) and \(F(a-\delta, b+\delta; a+b; 1- x^d)\). In particular they solve some open problems by determining \(\sup\{\delta\in (0,\infty): F(a,b; a+b; 1-x^c)< F(a-\delta, b+\delta; a+b; 1-x^d)\
Anderson, G.D, Qiu, S.-L, Vuorinen, M
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A relationship between rational and multi-soliton solutions of the BKP hierarchy [PDF]
, 2005 We consider a special class of solutions of the BKP hierarchy which we call $\tau$-functions of hypergeometric type. These are series in Schur $Q$-functions over partitions, with coefficients parameterised by a function of one variable $\xi$, where the ...
Orlov, A.Y., Nimmo, J.J.C.
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Journal of Inequalities and ApplicationsLet F ( a , b ; a + b ; x ) $F(a,b; a+b;x)$ be the Gaussian hypergeometric function and F p ( x ) = ( 1 − x ) p exp ( F ( a , b ; a + b ; x ) ) $F_{p}(x)=(1-x)^{p}\exp ({F(a,b;a+b;x)})$ .
Chuanlong Sun, Zixuan Wang, Tiren Huang
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Modeling small-angle scattering data of porous and/or bicontinuous structures in <i>n</i> dimensions. [PDF]
J Appl CrystallogrA 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.
Frielinghaus H.
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Copas-Heckman-Type Sensitivity Analysis for Publication Bias in Rare-Event Meta-Analysis Under Generalized Linear Mixed Models. [PDF]
Stat MedABSTRACT In systematic reviews and meta‐analyses, publication bias (PB) is one of the serious concerns and mainly induced by selective publication of academic literatures. Although many methods have been proposed to address PB, almost all of them are based on the normal‐normal (NN) random‐effects model, assuming that data are normally distributed at ...
Zhou Y +5 more
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Energy Eigenvalue and Thermodynamic Properties of q-deformed Hulthen Potential
Bibechana, 2022 The objective of this work is to calculate the energy eigenvalue for q-deformed Hulthen potential using a Gaussian hypergeometric function with centrifugal approximation factor and related thermodynamical properties.
Bhishma Karki +3 more
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Inequalities for Gaussian hypergeometric functions [PDF]
Journal of Mathematical Inequalities, 2017 Summary: In this paper, we first shall present some inequalities for Gaussian hypergeometric functions, which generalize an identity involving the inverse hyperbolic tangent function. Further, the monotonicity of general hypergeometric function is proved. The obtained results of this paper improve some known results.
Wang, Wen, Pan, Juanjuan, Yang, Shiguo
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