Results 21 to 30 of about 668,078 (284)
Third-order differential subordination and superordination involving a fractional operator
Open Mathematics, 2015 The third-order differential subordination and the corresponding differential superordination problems for a new linear operator convoluted the fractional integral operator with the Carlson-Shaffer operator, are investigated in this study.
Ibrahim Rabha W. +2 more
doaj +1 more source
Axioms, 2020 A class of Briot–Bouquet differential equations is a magnificent part of investigating the geometric behaviors of analytic functions, using the subordination and superordination concepts. In this work, we aim to formulate a new differential operator with
Rabha W. Ibrahim +2 more
doaj +1 more source
The level of pairs of polynomials [PDF]
, 2019 Given a polynomial $f$ with coefficients in a field of prime characteristic $p$, it is known that there exists a differential operator that raises $1/f$ to its $p$th power. We first discuss a relation between the `level' of this differential operator and
Boix, Alberto F. +2 more
core +2 more sources
Boolean Differential Operators
, 2012 We consider four combinatorial interpretations for the algebra of Boolean differential operators. We show that each interpretation yields an explicit matrix representation for Boolean differential operators.
Catumba, Jorge, Díaz, Rafael
openaire +3 more sources
Fiberwise linear differential operators [PDF]
Forum Mathematicum, 2021 Abstract We define a new notion of fiberwise linear differential operator on the total space of a vector bundle E. Our main result is that fiberwise linear differential operators on E are equivalent to (polynomial) derivations of an appropriate line bundle over
Fabrizio Pugliese +2 more
openaire +2 more sources
The constrained modified KP hierarchy and the generalized Miura transformations
, 1997 In this letter, we consider the second Hamiltonian structure of the constrained modified KP hierarchy. After mapping the Lax operator to a pure differential operator the second structure becomes the sum of the second and the third Gelfand-Dickey brackets
Bonora L +16 more
core +1 more source
The Ising model and Special Geometries
, 2014 We show that the globally nilpotent G-operators corresponding to the factors of the linear differential operators annihilating the multifold integrals $\chi^{(n)}$ of the magnetic susceptibility of the Ising model ($n \le 6$) are homomorphic to their ...
André Y ed Adolphson A +26 more
core +3 more sources
Fractional Integral and Generalized Stieltjes Transforms for Hypergeometric Functions as Transmutation Operators [PDF]
, 2015 For each of the eight $n$-th derivative parameter changing formulas for Gauss hypergeometric functions a corresponding fractional integration formula is given.
Koornwinder, Tom H.
core +5 more sources
Differential Calculus on Fuzzy Sphere and Scalar Field
, 1997 We find that there is an alternative possibility to define the chirality operator on the fuzzy sphere, due to the ambiguity of the operator ordering. Adopting this new chirality operator and the corresponding Dirac operator, we define Connes' spectral ...
Carow-Watamura, Ursula +1 more
core +2 more sources
An algorithm for constructing certain differential operators in positive characteristic [PDF]
, 2015 Given a non-zero polynomial $f$ in a polynomial ring $R$ with coefficients in a finite field of prime characteristic $p$, we present an algorithm to compute a differential operator $\delta$ which raises $1/f$ to its $p$th power.
Boix, Alberto F. +2 more
core +4 more sources