A Quadruple Integral Containing the Gegenbauer Polynomial Cn(λ)(x): Derivation and Evaluation
Open Access
- 21 January 2022
- Vol. 14 (2), 205
- https://doi.org/10.3390/sym14020205
Abstract
A four-dimensional integral containing is derived. is the Gegenbauer polynomial, is a product of the generalized logarithm quotient functions and the integral is taken over the region . The integral is difficult to compute in general. Special cases are given and invariant index forms are derived. The zero distribution of almost all Hurwitz–Lerch zeta functions is asymmetrical. All the results in this work are new.
Keywords
Funding Information
- Natural Sciences and Engineering Research Council (504070)
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