Results 121 to 130 of about 32,977 (163)

Zeros of Hypergeometric Functions

Computational Methods and Function Theory, 2001
Here it is shown that the hypergeometric function \(F(a,b;b+1;z)\) has no zeros in a specified half-plane for certain ranges of parameters. It is also shown that the zeros of the hypergeometric polynomials \(F(-n,kn+ \ell+1; kn+ \ell+2;z)\) cluster on one loop of a specified lemniscate. Other results then follow from quadratic relations.
Boggs, Kathryn, Duren, Peter
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ON q-HYPERGEOMETRIC FUNCTIONS

Far East Journal of Mathematical Sciences (FJMS), 2017
Summary: In this article, we study some results on meromorphic functions defined by \(q\)-hypergeometric functions. In addition, certain sufficient conditions for these meromorphic functions to satisfy a subordination property are also pointed out. In fact, these results extend known results of starlikeness, convexity, and close to convexity.
Challab, K. A., Darus, M., Ghanim, F.
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Extended hypergeometric and confluent hypergeometric functions

Applied Mathematics and Computation, 2004
The functions under consideration are the extended Gaussian hypergeometric function \[ F_p(a,b;c,z)= {1\over B(b,c- b)} \int^1_0 t^{b-1}(1- t)^{c-b-1}(1- zt)^{-a}\exp\Biggl[-{p\over t(1- t)}\Biggr]\,dt \] and its confluent counterpart \(\Phi_p(b;c;z)\) with \(\exp(zt)\) in place of \((1- zt)^{-a}\). The authors discuss differentiation with respect to \(
Chaudhry, M. Aslam, Qadir, Asghar, Srivastava, H. M., Paris, R. B.   +3 more
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Extended Multivariable Hypergeometric Functions

2019
In this chapter, we define an extension of multivariable hypergeometric functions. We obtain a generating function for these functions. Furthermore, we derive a family of multilinear and multilateral generating functions for these extended multivariable hypergeometric functions.
Erkuş-Duman, Esra, Düzgün, Düriye
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EXPANSIONS OF HYPERGEOMETRIC FUNCTIONS

The Quarterly Journal of Mathematics, 1942
Not ...
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Computing the Hypergeometric Function

Journal of Computational Physics, 1997
The Gauss hypergeometric function \({}_2F_1(a,b;c;x)\) is computed for real values of the variables \(a, b, c\) and \(x\). Transformation formulas are used to give a suitable \(x-\)interval for the power series. Great care is taken for the divergences that occur for certain values of \(a, b\) and \(c\) in the transformations.
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Hypergeometric Functions

2016
Vasudevan Lakshminarayanan, L. Srinivasa Varadharajan   +1 more
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The expanding regulatory mechanisms and cellular functions of circular RNAs

Nature Reviews Molecular Cell Biology, 2020
Ling-Ling Chen
exaly  

Gene regulation by long non-coding RNAs and its biological functions

Nature Reviews Molecular Cell Biology, 2020
Luisa Statello, Ling-Ling Chen, Maite Huarte   +2 more
exaly  

Hypergeometric Functions

2021
openaire   +1 more source