arXiv subjects

Dragana Jankov Maširević

Publications and source records attributed to Dragana Jankov Maširević.

5 recordsLinked to original sources

arXiv2020

CDF of non-central $χ^2$ distribution revisited. Incomplete hypergeometric type functions approach

The cumulative distribution function of the non-central chi-square distribution $χ_ν'^2(λ),\, ν\in\mathbb{R}^+$ possesses an integral representation in terms of a generalized Marcum $Q$-function. Regarding some already known results, here we derive a simpler form of the cumulative distribution function for $ν= 2n \in\mathbb{N}$ degrees of freedom. Also, we express these representations in terms of an incomplete Fox-Wright function ${}_pΨ_q^{(γ)}$ and the generalized incomplete hypergeometric functions concerning the important special cases as ${}_1Γ_1,\, {}_2Γ_1$ and ${}_2γ_1$. New identities are established between ${}_1Γ_1$ and ${}_2Γ_1$ as well.

math.CA↗

arXiv2016

$p$-extended Mathieu series from the Schlömilch series point of view

Motivated by certain current results by Parmar and Pogány [9] in which the authors introduced the so-called $p$-extended Mathieu series the main aim of this paper is to present a connection between such series and a various types of Schlömilch series.

math.CA↗

arXiv2016

Summations associated with Gamma exponentiated exponential Weibull distribution

Considering the recently studied Gamma exponentiated exponential Weibull ${\rm GEEW}(θ)$ probability distribution \cite{PoganySaboor} surprising infinite summations are obtained for series which building blocks are special functions like lower and upper incomplete Gamma, Fox--Wright Psi, Meijer $G$ or Whittaker $W$ functions.

math.PR↗

arXiv2015

Bounds for the product of modified Bessel functions

In this note our aim is to present some monotonicity properties of the product of modified Bessel functions of first and second kind. Certain bounds for the product of modified Bessel functions of first and second kind are also obtained. These bounds improve and extend known bounds for the product of modified Bessel functions of first and second kind of order zero. A new Turán type inequality is also given for the product of modified Bessel functions, and some open problems are stated, which may be of interest for further research.

math.CA↗

arXiv2014

On an identity for zeros of Bessel functions

In this paper our aim is to present an elementary proof of an identity of Calogero concerning the zeros of Bessel functions of the first kind. Moreover, by using our elementary approach we present a new identity for the zeros of Bessel functions of the first kind, which in particular reduces to some other new identities. We also show that our method can be applied for the zeros of other special functions, like Struve functions of the first kind, and modified Bessel functions of the second kind.

math.CA↗