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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…