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Some results on the digamma function

Biljana Jolevska-Tuneska, Ilija Jolevski

Open publisher page 16 citations

Abstract

The digamma function is defined for x > 0 as a locally summable function on the real line by ˆ(x) = i∞ + Z 1 0 e it i e ixt 1 i e it dt: In this paper we use the neutrix calculus to extend the definition for digamma function for the negative integers. Also we consider the derivatives of the digamma function for negative integers.

About this research paper

What this paper is about

The digamma function is defined for x > 0 as a locally summable function on the real line by ˆ(x) = i∞ + Z 1 0 e it i e ixt 1 i e it dt: In this paper we use the neutrix calculus to extend the definition for digamma function for the negative integers. Also we consider the derivatives of the digamma function for negative integers.

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OpenAlex reports 16 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The digamma function is defined for x > 0 as a locally summable function on the real line by ˆ(x) = i∞ + Z 1 0 e it i e ixt 1 i e it dt: In this paper we use the neutrix calculus to extend the definition for digamma function for the negative integers. Also we consider the derivatives of the digamma function for negative integers.

Key concepts: Digamma function, Computer science, Function (biology), Mathematics, Pure mathematics, Biology, Riemann zeta function, Prime zeta function

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