An Integral Relation Associated with a General Class of Polynomials and the Aleph Function

2019 ◽  
pp. 129-136
Author(s):  
Monika Jain ◽  
Sapna Tyagi
Keyword(s):  
General Class ◽  
Integral Relation ◽  
General Class Of Polynomials

scholarly journals Certain Fractional Derivative Formulae Involving the Product of a General Class of Polynomials and the Multivariable Gimel-Function

2018 ◽  
pp. 1-13
Author(s):  
Frédéric Ayant
Keyword(s):  
Fractional Derivative ◽  
General Class ◽  
Leibniz Rule ◽  
General Character ◽  
General Class Of Polynomials

In the present paper, we obtain three unified fractional derivative formulae. The first involves the product of a general class of polynomials and the multivariable Gimel-function. The second involves the product of a general class of polynomials and two multivariable Gimel-functions and has been obtained with the help of the generalized Leibniz rule for fractional derivatives.The last fractional derivative formulae also involves the product of a general class of polynomials and the multivariable Gimel-function but it is obtained by the application of the first fractional derivative formulae twice and, it involve two independents variables instead of one.The polynomials and the functions involved in all our fractional derivative formulae as well as their arguments which are of the type The formulae are the very general character and thus making them useful in applications. In the end, we shall give a particular case.

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