In ret: 1 the analyticity of the pressure in the dipole gas was proved by a somewhat indirect method, i.e., by methods not based on a direct C" bound on the nth order coefficient of the Mayer expansion. On the other hand, recently success has been met in finding direct C" bounds on the nth-order coefficient of the Mayer series for the twodimensional Yukawa gas in the region fie(0, 6~z) [here fl...

In the present paper, we give some new convergence results of the global GMRES method for multiple linear systems. In the case where the coefficient matrix A is diagonalizable, we derive new upper bounds for the Frobenius norm of the residual. We also consider the case of normal matrices and we propose new expressions for the norm of the residual. AMS subject classification: 65F10.

The purpose of the present paper is to establish some results involving coefficient conditions, distortion bounds, extreme points, convolution, convex combinations and neighborhoods for a new class of harmonic univalent functions in the open unit disc. We also discuss a class preserving integral operator. Relevant connections of the results presented here with various known results are briefly ...

Let Ω be an open subset of R with 0 ∈ Ω. Furthermore, let HΩ = − Pd i,j=1 ∂icij∂j be a second-order partial differential operator with domain C ∞ c (Ω) where the coefficients cij ∈ W 1,∞ loc (Ω) are real, cij = cji and the coefficient matrix C = (cij) satisfies bounds 0 < C(x) ≤ c(|x|)I for all x ∈ Ω. If

We analyze fully implicit and linearly implicit backward difference formula (BDF) methods for quasilinear parabolic equations, without making any assumptions on the growth or decay of the coefficient functions. We combine maximal parabolic regularity and energy estimates to derive optimal-order error bounds for the time-discrete approximation to the solution and its gradient in the maximum norm...

By means of the generalized fractional calculus operator, we introduce and investigate a subclass of p−valent functions with negative coefficients. We obtain the coefficient estimates, distortion bounds for the class. Furthermore, we discuss inclusion relationship involving the neighborhood result of the same. Mathematics Subject Classification: 30C45

Abstract. We introduce a new subclass corresponding to the class of k−uniformly convex and starlike functions associated with HurwitzLerch zeta functions and determine many properties like the coefficient estimates, extreme points, closure theorem, distortion bounds, radii of starlikeness and convexity. Furthermore, we obtain an integral transform results, neighborhood results, integral means i...

In this paper, we introduce a new class of analytic functions which are analytic related to Hadamard products. Characterization properties which include coefficient bounds, growth and distortion, and closure theorem are given. Further, results on integral transforms are also discussed. 2000 Mathematical Subject Classification: 30C45

Making use of Linear operator theory, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients. The main object of this paper is to obtain coefficient estimates distortion bounds, closure theorems and extreme points for functions belonging to this new class. The results are generalized to families with fixed finitely ma...

In this paper, a class of analytic functions with fixed argument of its coefficients involving Wright’s generalized hypergeometric function is defined with the help of subordination. The coefficient inequalities have been derived. Growth, distortion bounds and extreme points for functions belonging to the defined class have been investigated with consequent results.