Sums Involving the Digamma Function Connected to the Incomplete Beta Function and the Bessel functions

Sums Involving the Digamma Function Connected to the Incomplete Beta Function and the Bessel functions

We calculate some infinite sums containing the digamma function in closed form. These sums are related either to the incomplete beta function or to the Bessel functions. The calculations yield interesting new results as by-products, such as parameter differentiation formulas for the beta incomplete...

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Bibliographic Details
Main Authors: Juan Luis González-Santander, Fernando Sánchez Lasheras
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Mathematics
Subjects:
digamma function
Bessel functions
incomplete beta function
Wright function
Mittag–Leffler function
differentiation with respect to parameters
Online Access:https://www.mdpi.com/2227-7390/11/8/1937

Internet

https://www.mdpi.com/2227-7390/11/8/1937

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