Results 11 to 20 of about 3,001,317 (197)
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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Hypergeometric Series, Truncated Hypergeometric Series, and Gaussian Hypergeometric Functions [PDF]
, 2016 25 ...
Deines, Alyson +4 more
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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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Starlike and Convex Properties for Hypergeometric Functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2008 The purpose of the present paper is to give some characterizations for a (Gaussian) hypergeometric function to be in various subclasses of starlike and convex functions. We also consider an integral operator related to the hypergeometric function.
Oh Sang Kwon, Nak Eun Cho
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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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International Journal of Mathematics and Mathematical SciencesThis study explores the geometric properties of normalized Gaussian hypergeometric functions in a certain subclass of analytic functions. This work investigates the inclusion properties of integral operators associated with generalized Bessel functions ...
Manas Kumar Giri, Raghavendar K.
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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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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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Three- and four-term recurrence relations for Horn's hypergeometric function $H_4$
Researches in Mathematics, 2022 Three- and four-term recurrence relations for hypergeometric functions of the second order (such as hypergeometric functions of Appell, Horn, etc.) are the starting point for constructing branched continued fraction expansions of the ratios of these ...
R.I. Dmytryshyn, I.-A.V. Lutsiv
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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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