14 citations · 31 across the 7 of their papers we have counts for
6 papers · 1 filter
Differentiation of integral Mittag-Leffler and integral Wright functions with respect to parameters
Alexander Apelblat, Juan Luis González-Santander
Derivatives with respect to the parameters of the integral Mittag-Leffler function and the integral Wright function, recently introduced by us, are calculated. These derivatives ca…
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…
Part 2. Infinite series and logarithmic integrals associated to differentiation with respect to parameters of the Whittaker function
Alexander Apelblat, Juan Luis González-Santander
First derivatives with respect to the parameters of the Whittaker function are calculated. Using the confluent hypergeometric function, these der…
Part 1. Infinite series and logarithmic integrals associated to differentiation with respect to parameters of the Whittaker function
Alexander Apelblat, Juan Luis González-Santander
First derivatives of the Whittaker function with respect to the parameters are calculated. Using the confluent hypergeometric function, these deri…
Finite and infinite hypergeometric sums involving the digamma function
Juan L. González-Santander
We calculate some finite and infinite sums containing the digamma function in closed-form. For this purpose, we differentiate selected reduction formulas of the hypergeometric func…
The integral Mittag-Leffler, Whittaker and Wright functions
Alexander Apelblat, Juan Luis González-Santander
Integral Mittag-Leffler, Whittaker and Wright functions with integrands similar to those which already exist in mathematical literature are introduced for the first time. For parti…