Certain class of non-Bazilević functions associated with exponential function

Abstract

Its well-known that a Hankel matrix is one whose entries of the reverse diagonals are constant, i.e.

Mathematician, physicists and engineers are attracted to this matrix because of their appearances and computational properties in different areas: dynamical systems, quantum mechanics, and partial differential equations.

The main object in this paper is give an upper bound for the determinant of the third Hankel matrix for which the entries are belong to a new certain class of non-Bazilević functions in the open disk associated with exponential function.

Subject Classification:

• Primary 30C54
• Secondary 30C50

Keywords:

• Hankel matrix
• Exponential function
• Non-Bazilević functions