<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Analytic computation of digamma function using some new identities

Department of Applied Sciences and Humanities, Faculty of Engineering and Technology

Jamia Millia Islamia (A Central University)

Department of Natural and Applied Sciences

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Analytic computation of digamma function using some new identities"}

Motivated by the substantial development in the theory of digamma function, we derive some new identities for the digamma function. These new identities enable...

Analytic computation of digamma function using some new identities

Publié en ligne: 09 juil. 2020

Pages: 5 - 12

DOI: https://doi.org/10.2478/jamsi-2020-0001

Mots clés
Digamma(Psi) function, Gamma function, Euler’s constant

© 2020 M. I. Qureshi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Analytic computation of digamma function using some new identities

Publié en ligne: 09 juil. 2020

Pages: 5 - 12

DOI: https://doi.org/10.2478/jamsi-2020-0001

Mots clésDigamma(Psi) function, Gamma function, Euler’s constant

© 2020 M. I. Qureshi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
Digamma(Psi) function, Gamma function, Euler’s constant