Analytic computations of digamma function using some new identities

2018/06/06 by M. I. Qureshi, Qureshi, M. I., Mohd Shadab +1
Mathematics · #11J81 #11J86 #33B15 #33C05 #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Inequalities and Applications #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1806.07948

openalex publication_date 2018/06/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Motivated by rigorous development in the theory of digamma functions, we have first derived some new identities for the digamma function, and then computed the values of digamma function for the fractional orders using these identities conveniently.

Citations

• Transcendental values of the digamma function

Related

• Construction of the Digamma Function by Derivative Definition
• Truncated Gauss hypergeometric series and its application in digamma function
• Determination of some generalised Euler sums involving the digamma function
• On an integral involving the digamma function
• On Some Sums of Digamma and Polygamma functions - Version (2017) and Review