Results 21 to 30 of about 3,014,066 (230)

Subclass of analytic functions defined by $ q $-derivative operator associated with Pascal distribution series

AIMS Mathematics, 2021
: The purpose of the present paper is to find the necessary and sufficient condition and inclusion relation for Pascal distribution series to be in the subclass TCq(λ, α) of analytic functions defined by q-derivative operator.
B. Frasin, M. Darus
semanticscholar   +1 more source

Subordination Method for the Estimation of Certain Subclass of Analytic Functions Defined by the q -Derivative Operator

Journal of Function Spaces, 2022
In this paper, we investigate an interesting class of analytic and biunivalent functions in the open unit disk Δ which is defined using the
H. Rahmatan, A. Shokri, H. Ahmad, T. Botmart   +3 more
semanticscholar   +1 more source

Structural Derivative Model for Tissue Radiation Response [PDF]

, 2017
By means of a recently-proposed metric or structural derivative, called scale-q-derivative approach, we formulate differential equation that models the cell death by a radiation exposure in tumor treatments.
Sotolongo-Costa, Oscar, Weberszpil, José   +1 more
core   +3 more sources

q-deformed harmonic and Clifford analysis and the q-Hermite and Laguerre polynomials [PDF]

, 2010
We define a q-deformation of the Dirac operator, inspired by the one dimensional q-derivative. This implies a q-deformation of the partial derivatives. By taking the square of this Dirac operator we find a q-deformation of the Laplace operator.
Atakishiyev M, Atakishiyev N, Bonatsos D, Brackx F, Brackx F, Ciccoli N, De Bie H, Delanghe R, Dobrogowska A, Exton H, Exton H, F Sommen, Gasper G, Jackson F, K Coulembier, Lavagno A, Truong T, Ubriaco M   +17 more
core   +2 more sources

A Subclass of q-Starlike Functions Defined by Using a Symmetric q-Derivative Operator and Related with Generalized Symmetric Conic Domains

Mathematics, 2021
In this paper, the concepts of symmetric q-calculus and conic regions are used to define a new domain Ωk,q,α˜, which generalizes the symmetric conic domains.
Shahid Khan, S. Hussain, M. Naeem, M. Darus, A. Rasheed   +4 more
semanticscholar   +1 more source

Operator identities in q-deformed Clifford analysis [PDF]

, 2011
In this paper, we define a q-deformation of the Dirac operator as a generalization of the one dimensional q-derivative. This is done in the abstract setting of radial algebra. This leads to a q-Dirac operator in Clifford analysis.
A. Kempf, D. Moak, F. Jackson, F. Sommen, H. De Bie, H. Exton, K. Coulembier, K. Coulembier, N. Ciccoli, U. Carow-Watamura   +9 more
core   +1 more source

Subclass of k-Uniformly Starlike Functions Defined by the Symmetric q-Derivative Operator [PDF]

Ukrainian Mathematical Journal, 2017
The theory of q -analogs is frequently encountered in numerous areas, including fractals and dynamical systems. The q -derivatives and q -integrals play an important role in the study of q -deformed quantummechanical simple harmonic oscillators.
S. Kanas, Ş. Altınkaya, S. Yalçın
semanticscholar   +2 more sources

Vortex Images and q-Elementary Functions [PDF]

, 2007
In the present paper problem of vortex images in annular domain between two coaxial cylinders is solved by the q-elementary functions. We show that all images are determined completely as poles of the q-logarithmic function, where dimensionless parameter
Amoretti M, Aref H, Burton D A, Goluzin G M, Greenhill A G, Havelock T H, Henrici P, Kilin A A, Klymik A, Milne-Thomson L M, Nelson C A, Newton P K, Oguz Yilmaz, Oktay K Pashaev, Palaniappan D, Shi L-L Pan H, Villat H, Whittaker E T, Zudilin W   +18 more
core   +2 more sources

Deformations of the Canonical Commutation Relations and Metric Structures [PDF]

, 2014
Using Connes distance formula in noncommutative geometry, it is possible to retrieve the Euclidean distance from the canonical commutation relations of quantum mechanics.
D'andrea, Francesco, Lizzi, Fedele, Martinetti, Pierre   +2 more
core   +2 more sources

Supersymmetric Renyi Entropy and Weyl Anomalies in Six-Dimensional (2,0) Theories [PDF]

, 2015
We propose a closed formula of the universal part of supersymmetric R\'enyi entropy $S_q$ for $(2,0)$ superconformal theories in six-dimensions. We show that $S_q$ across a spherical entangling surface is a cubic polynomial of $\gamma:=1/q$, with all ...
Zhou, Yang
core   +2 more sources