This note explains the following topics:
linearly related sequences of difference derivatives of discrete orthogonal
polynomials, identity for zeros of Bessel functions, Close-to-convexity of
some special functions and their derivatives, Monotonicity properties of
some Dini functions, Classification of Systems of Linear Second-Order
Ordinary Differential Equations, functions of Hausdorff moment sequences,
Van der Corput inequalities for Bessel functions.

This note explains the following topics:
linearly related sequences of difference derivatives of discrete orthogonal
polynomials, identity for zeros of Bessel functions, Close-to-convexity of
some special functions and their derivatives, Monotonicity properties of
some Dini functions, Classification of Systems of Linear Second-Order
Ordinary Differential Equations, functions of Hausdorff moment sequences,
Van der Corput inequalities for Bessel functions.

This note is for students to have
mastered the knowledge of complex function theory in which the classical
analysis is based. The main theme of this course note is to explain some
fundamentals of classical transcendental functions which are used
extensively in number theory, physics,engineering and other pure and applied
areas.