arXiv subjects

Lateef Ahmad Wani

Publications and source records attributed to Lateef Ahmad Wani.

6 recordsLinked to original sources

arXiv2026

Thermo-electric transport in non-extensive QCD matter in presence of magnetic field

We investigate the thermo-electric response of a magnetized non-extensive quark-gluon plasma within the framework of kinetic theory using the relaxation time approximation (RTA). The interactions among the partons are incorporated through a quasi-particle model, where the medium-dependent quark mass is obtained from the poles of the resummed hard-thermal-loop (HTL) propagator. Our results show that non-extensive effects suppress the Seebeck coefficient both in the absence and in the presence of an external magnetic field. In contrast, the Nernst coefficient, which arises only in the presence of a magnetic field, is found to be significantly enhanced by non-extensivity. These findings demonstrate that deviations from equilibrium can substantially modify the thermo-electric transport properties of the quark gluon plasma.

hep-ph↗

arXiv2021

Sufficiency for Nephroid Starlikeness using Hypergeometric Functions

Let $\mathcal{A}$ consists of analytic functions $f:\mathbb{D}\to\mathbb{C}$ satisfying $f(0)=f'(0)-1=0$. Let $\mathcal{S}^*_{Ne}$ be the recently introduced Ma-Minda type functions family associated with the $2$-cusped kidney-shaped {\it nephroid} curve $\left((u-1)^2+v^2-\frac{4}{9}\right)^3-\frac{4 v^2}{3}=0$ given by \begin{align*} \mathcal{S}^*_{Ne}:= \left\{f\in\mathcal{A}:\frac{zf'(z)}{f(z)}\precφ_{\scriptscriptstyle {Ne}}(z)=1+z-z^3/3\right\}. \end{align*} In this paper, we adopt a novel technique that uses the geometric properties of {\it hypergeometric functions} to determine sharp estimates on $β$ so that each of the differential subordinations \begin{align*} p(z)+βzp'(z)\prec \begin{cases} \sqrt{1+z}; 1+z; e^z; \end{cases} \end{align*} imply $p(z)\precφ_{\scriptscriptstyle{Ne}}(z)$, where $p(z)$ is analytic satisfying $p(0)=1$. As applications, we establish conditions that are sufficient to deduce that $f\in\mathcal{A}$ is a member of $\mathcal{S}^*_{Ne}$.

math.CV↗

arXiv2020

Differential Subordinations for Starlike Functions Associated With A Nephroid Domain

Let $\mathcal{A}$ be the set of all analytic functions $f$ defined in the open unit disk $\mathbb{D}$ and satisfying $f(0)=f'(0)-1=0$. In this paper, we consider the function $φ_{\scriptscriptstyle {Ne}}(z):=1+z-z^3/3$, which maps the unit circle $\{z:|z|=1\}$ onto a $2$-cusped curve called nephroid given by $\left((u-1)^2+v^2-\frac{4}{9}\right)^3-\frac{4 v^2}{3}=0$, and the function class $\mathcal{S}^*_{Ne}$ defined as \begin{align*} \mathcal{S}^*_{Ne}:=\left\{f\in\mathcal{A}:\frac{zf'(z)}{f(z)}\precφ_{\scriptscriptstyle {Ne}}(z)\right\}, \end{align*} where $\prec$ denotes subordination. We obtain sharp estimates on $β\in\mathbb{R}$ so that the first-order differential subordination \begin{align*} 1+β\frac{zp'(z)}{p^j(z)}\prec\mathcal{P}(z), \quad j=0,1,2 \end{align*} implies $p\precφ_{\scriptscriptstyle{Ne}}$, where $\mathcal{P}(z)$ is certain Carathéodory function with nice geometrical properties and $p(z)$ is analytic satisfying $p(0)=1$. Moreover, we use properties of Gaussian hypergeometric function in order to get the subordination $p\precφ_{\scriptscriptstyle{Ne}}$ whenever $p(z)+βzp'(z)\prec\sqrt{1+z}$ or $1+z$. As applications, we establish sufficient conditions for $f\in\mathcal{A}$ to be in the class $\mathcal{S}^*_{Ne}$.

math.CV↗

arXiv2020

Radius Problems For Functions Associated with a Nephroid Domai

Let $\mathcal{S}^*_{Ne}$ be the collection of all analytic functions $f(z)$ defined on the open unit disk $\mathbb{D}$ and satisfying the normalizations $f(0)=f'(0)-1=0$ such that the quantity $zf'(z)/f(z)$ assumes values from the range of the function $φ_{\scriptscriptstyle{Ne}}(z):=1+z-z^3/3\,,z\in\mathbb{D}$, which is the interior of the nephroid given by \begin{align*} \left((u-1)^2+v^2-\frac{4}{9}\right)^3-\frac{4 v^2}{3}=0. \end{align*} In this work, we find sharp $\mathcal{S}^*_{Ne}$-radii for several geometrically defined function classes introduced in the recent past. In particular, $\mathcal{S}^*_{Ne}$-radius for the starlike class $\mathcal{S}^*$ is found to be $1/4$. Moreover, radii problems related to the families defined in terms of ratio of functions are also discussed. Sharpness of certain radii estimates are illustrated graphically.

math.CV↗

arXiv2019

Starlike And Convex Functions Associated with A Nephroid domain having Cusps On The Real Axis

In this paper, we show that the Carathéodory function $φ_{\scriptscriptstyle {Ne}}(z)=1+z-z^3/3$ maps the open unit disk $\mathbb{D}$ onto the interior of the nephroid, a $2$-cusped kidney-shaped curve, \begin{align*} \left((u-1)^2+v^2-\frac{4}{9}\right)^3-\frac{4 v^2}{3}=0, \end{align*} and introduce new Ma-Minda type function classes $\mathcal{S}^*_{Ne}$ and $\mathcal{C}_{Ne}$ associated with it. Apart from studying the characteristic properties of the region bounded by this nephroid, the structural formulas, extremal functions, growth and distortion results, inclusion results, coefficient bounds and Fekete-Szegö problems are discussed for the classes $\mathcal{S}^*_{Ne}$ and $\mathcal{C}_{Ne}$. Moreover, for $β\in\mathbb{R}$ and some analytic function $p(z)$ satisfying $p(0)=1$, we prove certain subordination implications of the first order differential subordination $1+β\frac{zp'(z)}{p^j(z)}\precφ_{\scriptscriptstyle {Ne}}(z),\,j=0,1,2,$ and obtain sufficient conditions for some geometrically defined function classes available in the literature.

math.CV↗

arXiv2019

Sufficient Conditions and Radius Problems for a starlike Class Involving a Differential Inequality

Let $\mathcal{A}_n$ be the class of analytic functions $f(z)$ of the form $f(z)=z+\sum_{k=n+1}^\infty a_kz^k,n\in\mathbb{N}$ and let \begin{align*} Ω_n:=\left\{f\in\mathcal{A}_n:\left|zf'(z)-f(z)\right|<\frac{1}{2},\; z\in\mathbb{D}\right\}. \end{align*} We make use of differential subordination technique to obtain sufficient conditions for the class $Ω_n$, and then employ these conditions to construct functions which involve double integrals and members of $Ω_n$. We also consider a subclass $\widehatΩ_n\subsetΩ_n$ and obtain subordination results for members of $\widehatΩ_n$ besides a necessary and sufficient condition. Writing $Ω_1=Ω$, we obtain inclusion properties of $Ω$ with respect to functions defined on certain parabolic regions and as a consequence, establish a relation connecting the parabolic starlike class $\mathcal{S}_p$ and the uniformly starlike $UST$. Various radius problems for the class $Ω$ are considered and the sharpness of the radii estimates is obtained analytically besides graphical illustrations.

math.CV↗