Filtry
Towards a change of variable formula for “hypergeometrization”
We will study the properties of “hypergeometrization” - an operator that acts on analytic functions around the origin by inserting two Pochhammer symbols into their Taylor series. This operator basically maps elementary functions to...
Pure mathematics
- 2024 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Matrix calculus and related hypergeometric functions
Using only simple tools of a version of matrix calculus we describe a way how to generate series expansions of hypergeometric functions of one (or two) matrix argument(s) in a straightforward manner without the need of computing the...
Pure mathematics
- 2019 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A transformation of certain infinite series based on the non-local derangement identity
The aim of the paper is a new transformation of certain infinite series based on an identity from Sylvester also known as the non-local derangement identity. Surprisingly, the result found can be applied to evaluate certain types of the gene...
BA - Obecná matematika
- 2011 •
- Jx •
- Odkaz
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Binomial sums involving harmonic numbers
This paper develops the approach to the evaluation of a class of infinite series that involve special products of binomial type, generalized harmonic numbers of order 1 and rational functions. We give new summation results for certain infini...
BA - Obecná matematika
- 2011 •
- Jx •
- Odkaz
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
New family of symmetric orthogonal polynomials and a solvable model of akinetic spin chain
turns out to be solvable in terms of the basic hypergeometric series...
Applied mathematics
- 2020 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On the Faraut-Koranyi hypergeometric functions in rank two
A complete description of the boundary behaviour of the Faraut-Koranyi hypergeometric functions is given for Cartan domains of rank 2.
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Non-Koszulness of operads and positivity of Poincaré series
We prove that the operad of mock partially associative n-ary algebras is not Koszul, as conjectured by the second and the third author in 2009, and utilise the Zeilberger's algorithm for hypergeometric summation to demonstrate that non-Koszu...
Pure mathematics
- 2020 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Berezin transform on harmonic Bergman spaces on the real ball
We provide the full asymptotic expansion of the harmonic Berezin transform on the unit ball in R-n purely by means of transformations of hypergeometric functions and function's "hypergeometrization"....
BA - Obecná matematika
- 2014 •
- Jx •
- Odkaz
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Asymptotic analysis via calculus of hypergeometric functions
The generalized hypergeometric function satisfies many identities or "transforms" which can be used to establish their asymptotic behavior for large argument and even, in some cases, for large parameters. We will show that using just three t...
BA - Obecná matematika
- 2016 •
- Jx •
- Odkaz
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
What about estimates of election preferences?
Main topics of the document: estimation; confidence interval; hypergeometric distribution; random sample; election...
BB - Aplikovaná statistika, operační výzkum
- 2015 •
- D
Rok uplatnění
D - Stať ve sborníku
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