Shift Operators on the Base a ( a > 0 , = 1 ) and Pseudo - Polynomials of Fractional Order
نویسنده
چکیده
The aim of the present paper is to introduce and use the generalized exponential shift operators, operators on the base a (a > 0, = 1), to deal with the families of pseudo-Kampé de Fériet polynomials, which can be viewed as the natural complement for the theory of fractional derivatives and partial fractional differential equations of evolutive type. We show that these families allow the possibility of treating a large variety of exponential operators, operators on the base a (a > 0, = 1), providing generalized fractional forms of shift operators.
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