Results 141 to 150 of about 395 (173)

Tracing the evolutionary histories of ultra-rare variants using variational dating of large ancestral recombination graphs

Pope NS, Tallman S, Jeffery B, Robertson D, Wong Y, Karthikeyan S, Ralph PL, Kelleher J.   +7 more
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Generating functions for the generalized Gauss hypergeometric functions

Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
P Agarwal, S Jain
exaly   +3 more sources

Extended Gauss Hypergeometric Matrix Functions

Iranian Journal of Science and Technology, Transaction A: Science, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammed Abdalla, Abdalla Mohamed
exaly   +2 more sources

On irrationality measures of the values of Gauss hypergeometric function

manuscripta mathematica, 1993
Sei \(F(z)\) die spezielle Gaußsche hypergeometrische Funktion \(\sum_{n\geq 0} ((b)_ n/ (c)_ n) z^ n\), wobei \((a)_ n:= a(a+1) \dots (a+n-1)\) für \(n\geq 0\) definiert und \(-c\neq 0,1,\dots\) vorausgesetzt sei. Sind nun \(b\), \(c\) rationale Parameter, so sind Irrationalität und lineare Unabhängigkeit von Werten von \(F\) an rationalen ...
Heimonen, Ari, Matala-aho, Tapani, Väänänen, Keijo   +2 more
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Formula for the Product of Gauss Hypergeometric Functions and Applications

Journal of Mathematical Sciences, 2020
The \(\Gamma\)-series is defined by a lattice \(B \subset \mathbb Z^N\) and a fixed vector \(\gamma \subset \mathbb C^N\). This paper contains a formula for the product of two \(\Gamma\)-series in four variables, connected with the lattice \(B=\mathbb{Z}\langle(1,-1,-1,1)\rangle\). As a consequence of the formula for the product of \(\Gamma\)-series, a
openaire   +2 more sources

EXTENDED GENERALIZED τ -GAUSS’ HYPERGEOMETRIC FUNCTIONS AND THEIR APPLICATIONS

South East Asian J. of Mathematics and Mathematical Sciences, 2022
In this article, by means of the extended beta function, we introduce new extension of the generalized τ -Gauss’ hypergeometric functions and present some new integral and series representations (including the one obtained by adopt- ing the well-known Ramanujan’s Master Theorem).
Chauhan, Bharti, Rai, Prakriti
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On the Computation of Gauss Hypergeometric Functions

The American Statistician, 2015
The pioneering study undertaken by Liang etal. in 2008 (Journal of the American Statistical Association, 103, 410-423) and the hundreds of papers citing that work make use of certain hypergeometric functions. Liang etal. and many others claim that the computation of the hypergeometric functions is difficult.
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The Gauss Hypergeometric Ratio As a Positive Real Function

SIAM Journal on Mathematical Analysis, 1982
The Gauss continued fraction for the ratio of two hypergeometric functions is converted into an ordinary fraction (all partial numerators are 1) and simplifications occurring for particular relations between the parameters are discussed. In particular, a very simple expansion is obtained for the ratio ${E /K}$ of the complete elliptic integrals.
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Extension of Pochhammer symbol, generalized hypergeometric function and τ-Gauss hypergeometric function

Analysis
Abstract We introduce new extension of the extended Pochhammer symbol and gamma function by using the extended Mittag-Leffler function. We also present extension of the generalized hypergeometric function as well as some of their special cases by using this extended Pochhammer symbol.
Komal Singh Yadav, Bhagwat Sharan, Ashish Verma   +2 more
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