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math.GM2022
A Double Chebyshev Series: Derivation And Evaluation
Robert Reynolds, Allan Stauffer
In this paper we use a contour integral method to derive a generating function in the form of a double series involving the product of two Chebyshev polynomials over generalized in…
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.GM2022
A Sextuple Integral Containing the Product of Associated Legendre polynomials : Derivation and Evaluation
Robert Reynolds, Allan Stauffer
In this present paper we derive a six dimensional integral containing the product of the Associated Legendre Polynomials where the indices are different and…