The hypergeometric function is analytic in and if a or b is a negative integer, then it reduces to a polynomial. There are a number of definitions for fractional calculus operators in the literature ...

The object of the present paper is to investigate various argument results of analytic and multivalent functions which are defined by using a certain fractional derivative operator. Some interesting ...

Abstract: A new and straightforward implementation of metallic losses in a time-domain field computation namely, the transmission line matrix (TLM) is presented. The approach is based on the ...

Abstract: In this paper, quantum derivative operator which is basic to quantum calculus has been implemented as an analog circuit. The proposed circuit realization and the simulations have been also ...

no such operator currently exists. Users can manually add an expression tree corresponding to the time derivative of an expression, but if that expression involves a state variable then there is no ...

We construct a new example of the high derivative four-dimensional conformal operator. This operator acts on fermions, and its contribution to the trace anomaly has opposite sign, as compared to ...

We use the notion of the logarithm of the derivative operator to describeW∞ type algebras as central extensions of the algebra of differential operators. We also provide closed formulae for the ...