The radius problem explaining the geometric properties of normalized forms special functions has been interest among Geometric function theories. In this paper, we consider Ma-Minda classes analytic $${\mathcal {S}}^{*}(\phi ):= \{f\in {\mathcal {A}} : ({zf'(z)}/{f(z)}) \prec \phi (z) \}$$ and {C}}(\phi (1+{zf''(z)}/{f'(z)}) defined on unit disk $${\mathbb {D}}$$ show that {S}}^{*}(1+\alpha z)$...

Let C be a nonempty closed convex subset of a real Hilbert space H. Let F : C → H be a κ-Lipschitzian and η-strongly monotone operator with constants κ, η > 0, V, T : C → C be nonexpansive mappings with Fix T / ∅ where Fix T denotes the fixed-point set of T , and f : C → H be a ρ-contraction with coefficient ρ ∈ 0, 1 . Let 0 < μ < 2η/κ2 and 0 < γ ≤ τ , where τ 1 − √ 1 − μ 2η − μκ2 . For each s,...

We derive diffusive currents in strongly coupled Coulomb ion mixtures in dense stellar matter. Coulomb coupling in the presence of gravity and electric fields, induced by gravity owing to plasma polarization, creates a specific diffusion current which separates ions with the same A/Z (mass to charge number ratios) but different Z. This Coulomb separation can be important in white dwarfs and neu...

Worldsheet techniques can be used to argue for the integrability of string theory on AdS 5 × S 5 /Z S , which is dual to the strongly coupled Z S-orbifold of N = 4 SYM. We analyze the integrability of these field theories in the perturbative regime and construct the relevant Bethe equations.

In a strongly-interacting electroweak sector with an isosinglet vector state, such as the techni-omega, ! T , the direct ! T Z coupling implies that an ! T can be produced by Z fusion in ee collisions. This is a unique feature for high energy e

Using photoelectron spectroscopy in combination with synchrotron radiation, we have observed previously inaccessible vibrational excitation of HI+ X 2113,z, X 2111,2 final ionic states. The vibrational enhancement is shown to be caused by strongly predissociating autoionization resonances converging to HI+ A ?Z+. Molecular vibrational constants are extracted from the photoelectron spectra obtai...

Let K(X,Y) be the space of compact operators. For a proximinal subspace Z⊂Y, this paper deals with question, when does every Y-valued operator admit Z-valued best approximation? any reflexive Banach X and for L1-predual Y, if Z⊂Y is strongly finite codimension, we show that K(X,Z) under an additional condition on position K(X,Z). When Y c0-direct sum dimensional spaces achieve strong transitivi...

In the theory of hyperrings, fundamental relations make a connection between hyperrings and ordinary rings. Commutative fundamental rings and the fundamental relation α which is the smallest strongly regular relation in hyperringswere introduced by Davvaz and Vougiouklis (2007). Recently, another strongly regular relation named θ on hyperrings has been studied by Ameri and Norouzi (2013). Ameri...

Recommended by Mohamed Khamsi Let S be a left amenable semigroup, let S {T s : s ∈ S} be a representation of S as Lipschitzian mappings from a nonempty compact convex subset C of a smooth Banach space E into C with a uniform Lipschitzian condition, let {μn} be a strongly left regular sequence of means defined on an S-stable subspace of l∞ S , let f be a contraction on C, and let {αn}, {βn}, and...

Sedimentation of the neutron rich isotope 22Ne may be an important source of gravitational energy during the cooling of white dwarf stars. This depends on the diffusion constant for 22Ne in strongly coupled plasma mixtures. We calculate self-diffusion constants D(i) from molecular dynamics simulations of carbon, oxygen, and neon mixtures. We find that D(i) in a mixture does not differ greatly f...