any operator involving differentiation, such as the mathematical operator del ∇, used in vector analysis, where ∇ = i∂/∂x + j∂/∂y+ k∂/∂z, i, j, and k being unit vectors and ∂/∂x, ∂/∂y, and ∂/∂z the partial derivatives of a function in x, y, and z
differential operator in American English
noun
Math
a function, usually expressed as a polynomial, that indicates linear combinations of the derivatives of the expression on which it operates
Examples of 'differential operator' in a sentence
differential operator
We extended the method by employing the fractional calculus differential operator in this paper.
Rabha W. Ibrahim, Hamid A. Jalab 2013, 'The Fractional Complex Step Method', Discrete Dynamics in Nature and Societyhttp://dx.doi.org/10.1155/2013/515973. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The application of the linear differential operator generates a new subclass of meromorphic function.
Suhila Elhaddad, Maslina Darus 2019, 'On Meromorphic Functions Defined by a New Operator Containing the Mittag–Leffler Function',Symmetryhttps://www.mdpi.com/2073-8994/11/2/210. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We define a differential operator for analytic functions of fractional power.
Maslina Darus, Rabha W. Ibrahim 2009, 'On Some Properties of Differential Operator', Acta Didactica Napocensiahttp://adn.teaching.ro/. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The nonlocal boundary value problems for regular degenerate differential-operator equations with the parameter are studied.
Veli B. Shakhmurov 2007, 'Degenerate Differential Operators with Parameters', Abstract and Applied Analysishttp://dx.doi.org/10.1155/2007/51410. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
For several correlators, closed forms without the differential operator are also found.
Hiroshi Isono, Toshifumi Noumi, Toshiaki Takeuchi 2019, 'Momentum space conformal three-point functions of conserved currents and a generalspinning operator', Journal of High Energy Physicshttp://link.springer.com/article/10.1007/JHEP05(2019)057. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We study the differential operator of the fourth order with multipoint boundary conditions.
Sergei I. Mitrokhin 2017, 'On the “splitting” effect for multipoint differential operators with summable potential',Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-MatematičeskieNaukihttp://mi.mathnet.ru/eng/vsgtu1504. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)