The main objective of this investigation is to introduce certain new subclasses of the class $Sigma $ of bi-univalent functions by using concept of conic domain. Furthermore, we find non-sharp estimates on the first two Taylor-Maclaurin coefficients $ left vert a_{2}right vert $ and $left vert a_{3}right vert $ for functions in these new subclasses. We consider various corollaries and consequen...

It can be easily verified that the system (1.1) by virtue of the condition (1.2) is hyperbolic. Let D be the conic domain {(x, t) ∈Rn+1 : |x|g(x/|x|) < t < +∞} lying in the half-space t > 0, and bounded by the conic manifold S= {(x, t) ∈Rn+1 : t = |x|g(x/|x|)}, where g is an entirely definite, positive, continuous, piecewise smooth function given on the unit sphere of the space Rn. For τ > 0, b...

A theorem of the unique solvability of the first boundary value problem in the Sobolev weighted spaces is proved for higherorder strictly hyperbolic systems in the conic domain with special orientation. In the space Rn, n > 2, let us consider a strictly hyperbolic equation of the form p(x, ∂)u(x) = f(x), (1) where ∂ = (∂1, . . . , ∂n), ∂j = ∂/∂xj , p(x, ξ) is a real polynomial of order 2m, m > ...

We introduce a new class of Bazilevič functions involving the Srivastava–Tomovski generalization Mittag-Leffler function. The family introduced here is superordinated by conic domain, which impacted Janowski obtain coefficient estimates and subordination conditions for starlikeness Fekete–Szegö functional belonging to class.

The theory of self-scaled conic programming provides a uniied framework for the theories of linear programming, semideenite programming and convex quadratic programming with convex quadratic constraints. Nesterov and Todd's concept of self-scaled barrier functionals allows the exploitation of algebraic and geometric properties of symmetric cones in certain variants of the barrier method applied...

We study the Fourier orthogonal expansions with respect to Laguerre type weight functions on conic surface of revolution and domain bounded by such a surface. The main results include closed form formula for reproducing kernels projection operator pseudo convolution structure domain; latter is shown be in an appropriate \(L^p\) space used mean convergence Cesàro means domains.

A classical problem of mechanics involves a projectile fired from a given point with a given velocity whose direction is varied. This results in a family of trajectories whose envelope defines the border of a “safe” domain. In the simple cases of a constant force, harmonic potential, and Kepler or Coulomb motion, the trajectories are conic curves whose envelope in a plane is another conic secti...

The objective of this paper is to deal with the fuzzy conic program- ming problems. The aim here is to derive weak and strong duality theorems for a general fuzzy conic programming. Toward this end, The convexity-like concept of fuzzy mappings is introduced and then a speci c ordering cone is established based on the parameterized representation of fuzzy numbers. Un- der this setting, duality t...