Abstract In this paper, we establish certain new subclasses of meromorphic harmonic functions using the principles q -derivative operator. We obtain criteria sense preserving and univalency. also address other important aspects, such as distortion limits, preservation convolution, convexity limitations. Additionally, with help sufficiency criteria, estimate sharp bounds real parts ratios to the...

We study the semantic difference operator defined in [16] for ALN . We give a polynomial-time algorithm to compute it. We compare it with the syntactic difference operator defined in [7], for which we also give a polynomial-time algorithm for ALN .

The intertwining operator technique is applied to difference Schrödinger equations with operator-valued coefficients. It is shown that these equations appear naturally when a discrete basis is used for solving a multichannel Schrödinger equation. New families of exactly solvable multichannel Hamiltonians are found. Intertwining technique for a system of difference Schrödinger equations 2

For finite difference matrices that are monotone, a discretization error estimate in maximum norm follows from the truncation errors of the discretization. It enables also discretization error estimates for derivatives of the solution. These results are extended to convergent operator splittings of the difference matrix where the major, preconditioning part is monotone but the whole operator is...

This paper presents characterizations of M-fuzzifying matroids bymeans of two kinds of fuzzy operators, called M-fuzzifying derived operatorsand M-fuzzifying difference derived operators.