Juan Luis González-Santander

activity

20202026

most citedSums involving the digamma function connected to the incomplete beta function and the Bessel functions

5 citations · 15 across the 11 of their papers we have counts for

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math.CA2025

On the application of a hypergeometric identity to generate generalized hypergeometric reduction formulas

J. L. González-Santander

We systematically exploit a new generalized hypergeometric identity to obtain new hypergeometric summation formulas. As a consistency test, alternative proofs for some special case…

math.CA2023★ 5 cited

Sums involving the digamma function connected to the incomplete beta function and the Bessel functions

Juan L. González-Santander, Fernando Sánchez Lasheras

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 calcul…

math.CA2023

Part 2. Infinite series and logarithmic integrals associated to differentiation with respect to parameters of the Whittaker $W_{κ, μ} (x)$ function

Alexander Apelblat, Juan Luis González-Santander

First derivatives with respect to the parameters of the Whittaker function $W_{κ, μ} (x)$ are calculated. Using the confluent hypergeometric function, these der…

math.CA2023

Part 1. Infinite series and logarithmic integrals associated to differentiation with respect to parameters of the Whittaker $M_{κ, μ} (x)$ function

Alexander Apelblat, Juan Luis González-Santander

First derivatives of the Whittaker function $M_{κ, μ} (x)$ with respect to the parameters are calculated. Using the confluent hypergeometric function, these deri…

math.CA2020★ 4 cited

A note on some reduction formulas for the incomplete beta function and the Lerch transcedent