In geometric function theory, Lucas polynomials and other special have recently gained importance. this study, we develop a new family of bi-univalent functions. Also examined coefficient inequalities Fekete-Szegö problem for via these polynomials.

in this paper, two pairs of new inequalities are given, which decompose two hilbert-type inequalities.

In current effort, by making use of the principle subordination, we introduce and study a new family holomorphic bi-univalent functions which are defined in open unit disk solve Fekete-Szegö problem for belong to this family.

Plemelj projection operators are introduced for spaces of square integrable functions defined over the boundaries of a class of compact real n-dimensional manifolds lying in C. These manifolds posses many properties similar to domains in R, and are consequently called domain manifolds. The key ingredients used here are techniques from both real and complex Clifford analysis. Analogues of the Ke...

In the present paper, sharp upper bounds of |a3 −μa2| for the functions f(z) = z + a2z + a3z + · · · belonging to a new subclass of Sakaguchi type functions are obtained. Also, application of our results for subclass of functions defined by convolution with a normalized analytic function are given. In particular, Fekete-Szegö inequalities for certain classes of functions defined through fractio...

We introduce a family of q-analogues of the binomial distribution, which generalises the Stieltjes-Wigert-, Rogers-Szegö-, and Kemp-distribution. Basic properties of this familiy are provided and several convergence results involving the classical binomial, Poisson, discrete normal distribution, and a family of q-analogues of the Poisson distribution are established. These results generalise co...

Degeneracy patterns and hyper-multiplet structure in the spectrum of the su(m|n) supersymmetric Polychronakos spin chain are studied by use of the “motif”. Using the recursion relation of the supersymmetric Rogers–Szegö polynomials which are closely related to the partition function of the N spin chain, we give the representation for motif in terms of the supersymmetric skew Young diagrams. We ...