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
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
On Classes of Non-Carathéodory Functions Associated with a Family of Functions Starlike in the Direction of the Real Axis
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms12010024
Abstract: In this paper, we introduce a new class of analytic functions subordinated by functions which is not Carathéodory. We have obtained some interesting subordination properties, inclusion and integral representation of the defined function class. Several… read more here.
Keywords: associated family; non carath; classes non; functions associated ... See more keywords
Cognitive Functions Associated with Brain Imaging Markers in Patients with Psoriasis
Sign Up to like & getrecommendations! Published in 2022 at "International Journal of Environmental Research and Public Health"
DOI: 10.3390/ijerph19095687
Abstract: Psoriasis is a severe inflammatory disease associated with a higher comorbidity of depression, cognitive dysfunction and brain atrophy. The association between psoriasis, magnetic resonance imaging (MRI) markers and cognitive impairment has rarely been investigated, and… read more here.
Keywords: patients psoriasis; functions associated; depression; brain ... See more keywords