Analytic computation of digamma function using some new identities

M. I. Qureshi; M. Shadab

doi:10.2478/jamsi-2020-0001

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Analytic computation of digamma function using some new identities

Journal of Applied Mathematics, Statistics and Informatics

Volume 16 (2020): Issue 1 (May 2020)

By: M. I. Qureshi and M. Shadab

Open Access

|Jul 2020

Abstract

Motivated by the substantial development in the theory of digamma function, we derive some new identities for the digamma function. These new identities enable us to compute the values of the digamma function for fractional orders in an analogous manner. Also, we mention two errata, found in Jensen’s article (An elementary exposition of the theory of the Gamma function, 1916), and present their correct forms.

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Articles in this issue

DOI: https://doi.org/10.2478/jamsi-2020-0001 | Journal eISSN: 1339-0015 | Journal ISSN: 1336-9180

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Language: English

Page range: 5 - 12

Published on: Jul 9, 2020

Published by: University of Ss. Cyril and Methodius in Trnava

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Digamma(Psi) function,

Gamma function,

Euler’s constant

Related subjects:

Computer sciences,

Information technology,

Mathematics,

Logic and set theory,

Probability and statistics,

Applied mathematics

© 2020 M. I. Qureshi, M. Shadab, published by University of Ss. Cyril and Methodius in Trnava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 16 (2020): Issue 1 (May 2020)