On the Supports of Functions Associated to the Radially Deformed Fourier Transform
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-020-01067-7
Abstract: In recent work a radial deformation of the Fourier transform in the setting of Clifford analysis was introduced. The key idea behind this deformation is a family of new realizations of the Lie superalgebra $${\mathfrak… read more here.
Keywords: radially deformed; functions associated; supports functions; fourier transform ... See more keywords
Radius Problems for Starlike Functions Associated with the Sine Function
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-018-0127-5
Abstract: Let $${\mathcal {S}}^*_s$$Ss∗ be the class of normalized analytic functions f defined on the unit disk such that the quantity $$zf'(z)/f(z)$$zf′(z)/f(z) lies in an eight-shaped region in the right-half plane, which is the image of… read more here.
Keywords: starlike functions; class; problems starlike; functions associated ... See more keywords
Central values of twisted base change L-functions associated to Hilbert modular forms
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2018.03.005
Abstract: We use relative trace formula to prove a non-vanishing result and a subconvexity result for the twisted base change $L$-functions associated to Hilbert modular forms whose local components at ramified places are some supercuspidal representations.… read more here.
Keywords: change functions; associated hilbert; functions associated; twisted base ... See more keywords
On spaces of functions associated to the canonical commutation relation
Sign Up to like & getrecommendations! Published in 2025 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0203765
Abstract: Topological generalized eigenvectors have a pivotal role in the rigged Hilbert space formalism of quantum mechanics. In this paper, we take a step back and deal with algebraic generalized eigenvectors of the position and momentum… read more here.
Keywords: canonical commutation; associated canonical; commutation relation; algebra ... See more keywords
New subclasses of meromorphic multivalent functions associated with a differential operator
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Interdisciplinary Mathematics"
DOI: 10.1080/09720502.2019.1700932
Abstract: Abstract In this paper, we define and investigate a new subclass for higher _ order derivatives of meromorphic multivalent functions which are associated with a differential operator we obtained many geometric properties sharp results including… read more here.
Keywords: associated differential; multivalent functions; meromorphic multivalent; differential operator ... See more keywords
Large-Degree Asymptotics of Rational Painlevé-IV Functions Associated to Generalized Hermite Polynomials
Sign Up to like & getrecommendations! Published in 2018 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rny172
Abstract: The Painlevé-IV equation has three families of rational solutions generated by the generalized Hermite polynomials. Each family is indexed by two positive integers $m$ and $n$. These functions have applications to nonlinear wave equations, random… read more here.
Keywords: rational painlev; generalized hermite; functions associated; hermite polynomials ... See more keywords
The Fekete–Szegö problem for a Ma–Minda type class of bi-univalent functions associated with the Hohlov operator
Sign Up to like & getrecommendations! Published in 2017 at "Asian-european Journal of Mathematics"
DOI: 10.1142/s1793557117500528
Abstract: In this paper, we solve Fekete–Szego problem for a Ma–Minda type class MΣa,b,c(λ,ν,ψ1,ψ2) of bi-univalent functions associated with the Hohlov operator which is a specialized case of the widely-inv... read more here.
Keywords: minda type; type class; univalent functions; functions associated ... See more keywords
Starlike functions associated with a lune
Sign Up to like & getrecommendations! Published in 2017 at "Asian-european Journal of Mathematics"
DOI: 10.1142/s1793557117500644
Abstract: Several subclasses of starlike functions are associated with regions in the right half plane of the complex plane, like half-plane, disks, sectors, parabolas and lemniscate of Bernoulli. For a normalized analytic function f defined on… read more here.
Keywords: starlike functions; associated lune; functions associated; plane ... See more keywords
Janowski type close-to-convex functions associated with conic regions
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1535-4
Abstract: The analytic functions, mapping the open unit disk onto petal and oval type regions, introduced by Noor and Malik (Comput. Math. Appl. 62:2209-2217, 2011), are considered to define and study their associated close-to-convex functions. This… read more here.
Keywords: convex functions; janowski type; functions associated; close convex ... See more keywords
Coefficient inequalities for certain subclasses of multivalent functions associated with conic domain
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-020-02446-1
Abstract: A number of families of q -extensions of analytic functions in the open unit disk U $\mathbb{U}$ have been defined by means of basic (or q -)calculus and considered from many distinctive prospectives and viewpoints.… read more here.
Keywords: multivalent functions; functions associated; inequalities certain; subclasses multivalent ... See more keywords
Close-to-convex functions associated with a rational function
Sign Up to like & getrecommendations! Published in 2024 at "Mathematica Slovaca"
DOI: 10.1515/ms-2024-0026
Abstract: Abstract In this paper, we consider the class 𝓚𝓢(ψ0) of close-to-convex functions associated to a rational function ψ0(z) = (k2 + z2)/(k2 – kz), where k = 2$\begin{array}{}\displaystyle\sqrt{2}\end{array}$ + 1 and the rational function ψ0… read more here.
Keywords: convex functions; function; functions associated; associated rational ... See more keywords