Finite Double Integrals Involving Multivariable GimelFunction

International Journal of Mathematics Trends and Technology (IJMTT)  
© 2018 by IJMTT Journal  
Volume61 Number3 

Year of Publication : 2018  
Authors : Frédéric Ayant 

10.14445/22315373/IJMTTV61P523 
MLA Style: Frédéric Ayant "Finite Double Integrals Involving Multivariable GimelFunction" International Journal of Mathematics Trends and Technology 61.3 (2018): 164172.
APA Style: Frédéric Ayant (2018). Finite Double Integrals Involving Multivariable GimelFunction. International Journal of Mathematics Trends and Technology, 61(3), 164172.
Abstract
In this paper, we establish three finite double integrals involving the multivariable Gimel function with general arguments, general class of polynomials, special functions and Alephfunction. Importance of our findings lies in the fact that they involve the multivariable Gimel function, which are the sufficiently general in nature and are capable of yielding a large number of simpler and useful results merely by specializing the parameters in them. For the sake of illustration, only one particular case of this integral obtained has been given which is also new and is of interest.
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Keywords
Multivariable Gimelfunction, MellinBarnes integrals contour , finite double integrals, class of multivariable polynomials, Alephfunction.