Allan Stauffer

York University

Canada

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Articles (11)

Extended de Montmort-Prudnikov Sum

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Year:

2023

Sum of the Hurwitz-Lerch Zeta Function over Natural Numbers: Derivation and Evaluation

We consider a Hurwitz-Lerch zeta function Φ s , z , a sum over the natural numbers. We provide an analytically continued closed form solution for this sum in terms of the addition of Hurwitz-Lerch zeta functions. A new recurrence identity with consecutive neighbours and the product of trigonometric functions is derived.

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Year:

2022

Is Catalan’s Constant Rational?

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Year:

2022

Closed-Form Derivations of Infinite Sums and Products Involving Trigonometric Functions

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Year:

2022

Extended Ohtsuka–Vălean Sums

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Year:

2022

Non-Zero Order of an Extended Temme Integral

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Year:

2022

A Septuple Integral of the Product of Three Bessel Functions of the First Kind Jα(tβ)Jγ(xδ)Jη(yθ): Derivation and Evaluation over General Indices

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Year:

2022

j-Dimensional Integral Involving the Logarithmic and Exponential Functions: Derivation and Evaluation

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Year:

2022

A Quadruple Integral Containing the Gegenbauer Polynomial Cn(λ)(x): Derivation and Evaluation

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Year:

2022

A Quadruple Integral Involving Chebyshev Polynomials Tn(x): Derivation and Evaluation

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Year:

2022

A Note on the Summation of the Incomplete Gamma Function

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Year:

2021

Allan Stauffer

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Articles (11)

Extended de Montmort-Prudnikov Sum

Sum of the Hurwitz-Lerch Zeta Function over Natural Numbers: Derivation and Evaluation

Is Catalan’s Constant Rational?

Closed-Form Derivations of Infinite Sums and Products Involving Trigonometric Functions

Extended Ohtsuka–Vălean Sums

Non-Zero Order of an Extended Temme Integral

A Septuple Integral of the Product of Three Bessel Functions of the First Kind <i>J<sub>α</sub></i>(<i>tβ</i>)<i>J<sub>γ</sub></i>(<i>xδ</i>)<i>J<sub>η</sub></i>(<i>yθ</i>): Derivation and Evaluation over General Indices

<i>j</i>-Dimensional Integral Involving the Logarithmic and Exponential Functions: Derivation and Evaluation

A Quadruple Integral Containing the Gegenbauer Polynomial <i>C<sub>n</sub></i><sup>(<i>λ</i>)</sup>(<i>x</i>): Derivation and Evaluation

A Quadruple Integral Involving Chebyshev Polynomials <i>T<sub>n</sub></i>(<i>x</i>): Derivation and Evaluation

A Note on the Summation of the Incomplete Gamma Function

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Allan Stauffer

Research Interests

Explore related searches

Contact this professor

Articles (11)

Extended de Montmort-Prudnikov Sum

Sum of the Hurwitz-Lerch Zeta Function over Natural Numbers: Derivation and Evaluation

Is Catalan’s Constant Rational?

Closed-Form Derivations of Infinite Sums and Products Involving Trigonometric Functions

Extended Ohtsuka–Vălean Sums

Non-Zero Order of an Extended Temme Integral

A Septuple Integral of the Product of Three Bessel Functions of the First Kind <i>J<sub>&alpha;</sub></i>(<i>t&beta;</i>)<i>J<sub>&gamma;</sub></i>(<i>x&delta;</i>)<i>J<sub>&eta;</sub></i>(<i>y&theta;</i>): Derivation and Evaluation over General Indices

<i>j</i>-Dimensional Integral Involving the Logarithmic and Exponential Functions: Derivation and Evaluation

A Quadruple Integral Containing the Gegenbauer Polynomial <i>C<sub>n</sub></i><sup>(<i>&lambda;</i>)</sup>(<i>x</i>): Derivation and Evaluation

A Quadruple Integral Involving Chebyshev Polynomials <i>T<sub>n</sub></i>(<i>x</i>): Derivation and Evaluation

A Note on the Summation of the Incomplete Gamma Function

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A Septuple Integral of the Product of Three Bessel Functions of the First Kind <i>J<sub>α</sub></i>(<i>tβ</i>)<i>J<sub>γ</sub></i>(<i>xδ</i>)<i>J<sub>η</sub></i>(<i>yθ</i>): Derivation and Evaluation over General Indices

A Quadruple Integral Containing the Gegenbauer Polynomial <i>C<sub>n</sub></i><sup>(<i>λ</i>)</sup>(<i>x</i>): Derivation and Evaluation