Abstract. The aim of the present article is to introduce and study new subclass of Janowski type functions defined using notions of Janowski functions and (j, k)-symmetrical functions. Certain interesting coefficient inequalities, sufficiency criteria, distortion theorem, neighborhood property are investigated for this class.

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The aim in the present work is to introduce and study new subclasses of analytic functions that are defined by using the generalized classes of Janowski functions combined with the (n, m)-symmetrical functions, that generalize many others defined by different authors. We gave a representation theorem for these classes, certain inherently properties, while covering and distortion properties are also pointed out.

In this paper, the authors test the generalized Ulam -Hyers stability of the additive-quadratic and cubic-quartic functional equationsvia Quasi-Beta Banach space and Intuitionistic fuzzy Banach space using direct and fixed point methods.

In this note, the concept of N -symmetric points. Janowski functions and the conic regions are combined to define a class of functions in a new interesting domain which represents the conic type regions. certain interesting coefficient inequalities are deduced.