19 citations · 38 across the 9 of their papers we have counts for
4 papers · 1 filter
Functional definitions for -analogues of eulerian functions and applications
Ahmad El-Guindy, Zeinab Mansour
We explore a number of functional properties of the -gamma function and a class of its quotients; including the -beta function. We obtain formulas for all higher logarithmic…
Legendre Drinfeld modules and universal supersingular polynomials
Ahmad El-Guindy
We introduce a certain family of Drinfeld modules that we propose as analogues of the Legendre normal form elliptic curves. We exhibit explicit formulas for a certain period of suc…
On symmetric powers of -recurrent sequences and deformations of Eisenstein series
Ahmad El-Guindy, Aleksandar Petrov
We prove the equality of several -recurrent sequences, which were first considered by Pellarin, and which have close connections to Drinfeld vectorial modular forms. Our result…
Identities for Anderson generating functions for Drinfeld modules
Ahmad El-Guindy, Matthew A. Papanikolas
Anderson generating functions are generating series for division values of points on Drinfeld modules, and they serve as important tools for capturing periods, quasi-periods, and l…