Applications of Neutrix Calculus to Special Functions in Conjunction with Polygamma Functions

Abstract

In this paper we define the polygamma functions ${\psi }^{(n)}(x)$ for negative integers by using neutrix calculus.

References in corpus (3)

• Neutrix Calculus and Finite Quantum Field Theory
• The integrals in Gradshteyn and Ryzhik. Part 10: the digamma function
• An application of neutrix calculus to quantum field theory