3 papers
math.CO2022
Special Function Representation Of Dickson Polynomials
Robert Reynolds
Generating functions and functional equations of Dickson polynomials of the first and second kind are derived and continued analytically. These formulae are expressed in terms of t…
math.GM2022
Sum of the Hurwitz-Lerch Zeta Function over Prime Numbers: Derivation and Evaluation
Robert Reynolds, Allan Stauffer
For the function , where general complex numbers and any positive integer, we establish the sum of values of the Hurwitz-Lerch zeta function $Φ(f(m,p,q,n),k…
math.GM2021
Definite integrals involving combinations of powers and logarithmic functions of complicated arguments expressed in terms of the Hurwitz zeta function
Robert Reynolds, Allan Stauffer
In this manuscript, the authors derive closed formula for definite integrals of combinations of powers and logarithmic functions of complicated arguments and express these integral…