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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 function...
Pure mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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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)
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 •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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 jus...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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 •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
M-harmonic Szegö Kernel on the ball
We give a description of the boundary singularity of the Szegö kernel of M-harmonic functions, i.e. functions annihilated by the invariant Laplacian, on the unit ball of the complex n-space, in terms of the Gauss hypergeometric<...
Pure mathematics
- 2024 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
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Special functions and spectrum of Jacobi matrices
hypergeometric functions, q-Bessel functions and q-confluent hypergeometric functions and coincides with the set of zeros of a special function. Moreover, the components of corresponding eigenvec...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
A transformation of certain infinite series based on the non-local derangement identity
hypergeometric function p F q (z) or infinite series involving the combination of hyperbolic functions, irrational functions and polynomials some of which seem to be new......
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Berezin transform on the harmonic Fock space
We show that the Berezin transform associated to the harmonic Fock (Segal-Bargmann) space on C-n has an asymptotic expansion analogously as in the holomorphic case. The proof involves a computation of the reproducing kernel, which turns out to be giv...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Closed form of the rotational Crofton formula
The closed form of a rotational version of the famous Crofton formula is derived.
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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