66 citations · 69 across the 8 of their papers we have counts for
8 papers
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…
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…
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…
Double integral of logarithm and exponential function expressed in terms of the Lerch function
Robert Reynolds, Allan Stauffer
In this work the authors use their contour integral method to derive a double integral connected to the modified Bessel function of the second kind and express it in terms of the L…
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…
An integral's journey over the real line
Robert Reynolds, Allan Stauffer
In 1826 Cauchy presented an Integral over the real line. Al and I thought a derivation would be mighty fine. So we packed our contour integral bags that day, and we now present an…
Table in Gradshteyn and Ryzhik: Derivation of definite integrals of a Hyperbolic Function
Robert Reynolds, Allan Stauffer
We present a method using contour integration to derive definite integrals and their associated infinite sums which can be expressed as a special function. We give a proof of the b…
A Method for Evaluating Definite Integrals in terms of Special Functions with Examples
Robert Reynolds, Allan Stauffer
We present a method using contour integration to derive definite integrals and their associated infinite sums which can be expressed as a special function. We give a proof of the b…