Examples of using Hypergeometric in English and their translations into Hungarian
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Here 2F1 is hypergeometric function.
Ramanujan independently discovered results of Gauss, Kummer and others on hypergeometric series.
Where 2F1 is a hypergeometric function.
In her thesis she gave algorithms tofind recurrence relations between sums of terms in hypergeometric series.
Where 2F1 is the hypergeometric function.
There her doctoral studies were supervised by Earl Rainville whosuggest that she examine some combinatorial problems related to hypergeometric series.
Multivariate Hypergeometric Distributions.
His work is important in the development of the theory of functions,in particular having applications in the theory of hypergeometric series and differential equations.
Fox's main contributions were on hypergeometric functions, integral transforms, integral equations and the mathematics of navigation.
It is timeto see how the three most important discrete distributions, namely the hypergeometric, the binomial and the Poisson distributions work.
He extended Gauss‘s work on hypergeometric series, giving developments that are useful in the theory of differential equations.
The distribution is called the hypergeometric distribution.
Fox's main contributions were on hypergeometric functions, integral transforms, integral equations, the theory of statistical distributions, and the mathematics of navigation.
Such names as Rogers-Ramanujan identities, Rogers-Ramanujan continued fractions and Rogers transformations are known in the theory of partitions,combinatorics and hypergeometric series.
This is known as the hypergeometric distribution.
In the book hypergeometric functions, Bessel functions, the Jacobi orthogonal polynomials, the Hahn orthogonal polynomials, Laguerre polynomials, Hermite polynomials, Meixner polynomials, Krawtchouk polynomials and Charlier polynomials all play their part in addition to other orthogonal polynomials and special functions.
This formula is called hypergeometric distribution.
Like all such equations, it can be converted into a hypergeometric differential equation by a change of variable, and its solutions can be expressed using hypergeometric functions.
He applied this technique systematically in a longseries of papers to the study of the gamma function, hypergeometric functions, Dirichlet series, the Riemann zeta function and related number-theoretic functions.
His publications during this time include Disquisitiones generales circa seriem infinitam,a rigorous treatment of series and an introduction of the hypergeometric function, Methodus nova integralium valores per approximationem inveniendi, a practical essay on approximate integration, Bestimmung der Genauigkeit der Beobachtungen, a discussion of statistical estimators, and Theoria attractionis corporum sphaeroidicorum ellipticorum homogeneorum methodus nova tractata.
He worked out the Riemann series, the elliptic integrals, hypergeometric series and the functional equations of the zeta function.
His own work on partial sums and products of hypergeometric series have led to major development in the topic.
Ramanujan figured out the Riemann series, the elliptic integrals, hypergeometric series and therefore the practical equations of the zeta function.
He continued his mathematical work, however, and at this time he worked on hypergeometric series and investigated relations between integrals and series.
Alternatively, analytic methods are used in the theory of algebraic and hypergeometric functions, in the description of the structure of discriminantal sets.