14 citations · 26 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
The Bateman Functions Revisited After 90 Years -- A Survey of Old and New Results
Alexander Apelblat, Armando Consiglio, Francesco Mainardi
The Bateman functions and the allied Havelock functions were introduced as solutions of some problems in hydrodynamics about ninety years ago, but after a period of one or two deca…
Differentiation of the Wright functions with respect to parameters and other results
Alexander Apelblat, Francesco Mainardi
In this survey we discuss derivatives of the Wright functions (of the first and the second kind) with respect to parameters. Differentiation of these functions leads to infinite po…